Mr Sims Quadratic Equation in standard form ax

Ó Mr. Sims

Quadratic Equation (in standard form) ax 2 + bx + c = 0 Example: Algebra 2 Section 7. 3 Quadratic Formula 3 x 2 + 5 x – 4 = 0 One way to solve a quadratic equation is to use the quadratic formula: Solve: 3 x 2 + 5 x – 4 = 0 a= 3 b= 5 c=-4 Ó Mr. Sims

Solve each equation by using the quadratic formula. (final answers should be in simplest radical form) 1. 4 x 2 + x – 2 = 0 a= 4 b= 1 c = -2 2. 2 n 2 – n – 2 = 0 a= 2 b = -1 c = -2 Ó Mr. Sims

3. t 2 + 4 t – 1 = 0 a= 1 b= 4 c = -1 factor 2 out of numerator Ó Mr. Sims

4. 4 n 2 + 7 = 12 n -12 n get equation in standard form (ax 2 + bx + c = 0) -12 n 4 n 2 – 12 n + 7 = 0 a= 4 b = -12 c= 7 factor 4 out of numerator 2 Ó Mr. Sims

5. -x 2 = 16 x + 46 +x 2 get equation in standard form (ax 2 + bx + c = 0) +x 2 + 16 x + 46 = 0 a= 1 b = 16 c = 46 factor 2 out of numerator Ó Mr. Sims

change 3, 800 to scientific notation =. 45 × 103 divide and subtract exponents when dividing = 4. 5 × 102 change to true scientific notation Ó Mr. Sims

volume of a cylinder V = πr 2 h r = 7 ft V = π(72)(24) V = π(49)(24) V = 1176π Ó Mr. Sims

Algebra 2 Section 7. 3 A Assignment Solve each equation by using the quadratic formula. 1. ) 3 y 2 + 7 y + 3 = 0 2. ) 2 y 2 – 4 y + 1 = 0 3. ) 2 x 2 + 6 x + 3 = 0 4. ) 0 = 4 x 2 + 8 x + 1 5. ) 3 x 2 + 6 x = 2 Ó Mr. Sims

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