Recapping Solving simultaneous equations by substitution The line

Recapping: Solving simultaneous equations by substitution. The line L 1 has equation x – 3 y = 14 The line L 2 has equation 5 x + 2 y – 2 = 0. The point of intersection of L 1 and L 2 is P. Find the coordinates of P. ANS mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. ANS a) y = x + 2, y = x 2 – 4 ANS b) 2 x 2 – y – 8 x = 0, x + y + 3 = 0 ANS c) Find the coordinates of the points of intersection 2 y + x – 6 = 0 and y = x 2 – 6 x. ANS d) The line y = 5 − x intersects the curve y = x 2 − 3 x + 2 at the points M and N. Find the length MN in the form p√ 2. mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. ANS a) y = 4 – x, x 2 + y 2 = 10 ANS b) y=x 2 + x + 1 and x + 2 y = 4 ANS c) x + 2 y + 3 = 0, x 2 – 2 x + 3 y 2 = 11 ANS d) The line y = 2 x – 4 and the curve y = (x – 2)(7 – x) intersect at the points P and Q. Find the exact length of PQ. ANS e) (x + y√ 2)2 – 4 and y = x√ 6. Leave your answer in surd form. mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. The straight line L with equation y = 4 - 3 x cuts the parabola P, with equation y = 10 x – 6 x 2, at the points A and B. Work out the coordinates of the points A and B. ANS Full Page mr-mathematics. com ANS Full Page

Recapping: Solving simultaneous equations by substitution. The line L 1 has equation x – 3 y = 14 The line L 2 has equation 5 x + 2 y – 2 = 0. The point of intersection of L 1 and L 2 is P. Find the coordinates of P. (2, -4) Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = x + 2, y = x 2 – 4 x = -2, y = 0 and x = 3, y = 5 b) 2 x 2 – y – 8 x = 0, x + y + 3 = 0 c) Find the coordinates of the points of intersection 2 y + x – 6 = 0 and y = x 2 – 6 x. d) The line y = 5 − x intersects the curve y = x 2 − 3 x + 2 at the points M and N. Find the length MN in the form p√ 2. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = x + 2, y = x 2 – 4 x = -2, y = 0 and x = 3, y = 5 b) 2 x 2 – y – 8 x = 0, x + y + 3 = 0 x = 0. 5, y = -3. 5 and x = 3, y = -6 c) Find the coordinates of the points of intersection 2 y + x – 6 = 0 and y = x 2 – 6 x. d) The line y = 5 − x intersects the curve y = x 2 − 3 x + 2 at the points M and N. Find the length MN in the form p√ 2. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = x + 2, y = x 2 – 4 x = -2, y = 0 and x = 3, y = 5 b) 2 x 2 – y – 8 x = 0, x + y + 3 = 0 x = 0. 5, y = -3. 5 and x = 3, y = -6 c) Find the coordinates of the points of intersection 2 y + x – 6 = 0 and y = x 2 – 6 x. (-0. 5, 3. 25) and (6, 0) d) The line y = 5 − x intersects the curve y = x 2 − 3 x + 2 at the points M and N. Find the length MN in the form p√ 2. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = x + 2, y = x 2 – 4 x = -2, y = 0 and x = 3, y = 5 b) 2 x 2 – y – 8 x = 0, x + y + 3 = 0 x = 0. 5, y = -3. 5 and x = 3, y = -6 c) Find the coordinates of the points of intersection 2 y + x – 6 = 0 and y = x 2 – 6 x. (-0. 5, 3. 25) and (6, 0) d) The line y = 5 − x intersects the curve y = x 2 − 3 x + 2 at the points M and N. Find the length MN in the form p√ 2. 4√ 2 Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = 4 – x, x 2 + y 2 = 10 x = 1, y = 3 and x = 3, y = 1 b) y = x 2 + x + 1 and x + 2 y = 4 c) x + 2 y + 3 = 0, x 2 – 2 x + 3 y 2 = 11 d) The line y = 2 x – 4 and the curve y = (x – 2)(7 – x) intersect at the points P and Q. Find the exact length of PQ. e) (x + y√ 2)2 = 1 and y = x√ 3. Leave your answer in surd form. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = 4 – x, x 2 + y 2 = 10 x = 1, y = 3 and x = 3, y = 1 b) y = x 2 + x + 1 and x + 2 y = 4 x = -2, y = 3 and x = 0. 5, y = 1. 75 c) x + 2 y + 3 = 0, x 2 – 2 x + 3 y 2 = 11 d) The line y = 2 x – 4 and the curve y = (x – 2)(7 – x) intersect at the points P and Q. Find the exact length of PQ. e) (x + y√ 2)2 = 1 and y = x√ 3. Leave your answer in surd form. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = 4 – x, x 2 + y 2 = 10 x = 1, y = 3 and x = 3, y = 1 b) y = x 2 + x + 1 and x + 2 y = 4 x = -2, y = 3 and x = 0. 5, y = 1. 75 c) x + 2 y + 3 = 0, x 2 – 2 x + 3 y 2 = 11 x = -17/7, y = -2/7 and x = 1, y = -2 d) The line y = 2 x – 4 and the curve y = (x – 2)(7 – x) intersect at the points P and Q. Find the exact length of PQ. e) (x + y√ 2)2 = 1 and y = x√ 3. Leave your answer in surd form. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Solve the following pairs of simultaneous equations. a) y = 4 – x, x 2 + y 2 = 10 x = 1, y = 3 and x = 3, y = 1 b) y = x 2 + x + 1 and x + 2 y = 4 x = -2, y = 3 and x = 0. 5, y = 1. 75 c) x + 2 y + 3 = 0, x 2 – 2 x + 3 y 2 = 11 x = -17/7, y = -2/7 and x = 1, y = -2 d) The line y = 2 x – 4 and the curve y = (x – 2)(7 – x) intersect at the points P and Q. Find the exact length of PQ. 3√ 5 e) (x + y√ 2)2 = 1 and y = x√ 3. Leave your answer in surd form. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. ANS Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. The straight line L with equation y = 5 - 3 x cuts the parabola P, with equation y = 20 x - 12 x 2, at the points A and B. Work out the coordinates of the points A and B. Go Back mr-mathematics. com ANS

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. Go Back mr-mathematics. com

Simultaneous Equations with Quadratics Learning Objective: Solve a pair of quadratic and linear simultaneous equations. The straight line L with equation y = 5 - 3 x cuts the parabola P, with equation y = 20 x - 12 x 2, at the points A and B. Work out the coordinates of the points A and B. Go Back mr-mathematics. com