Unit 25 Solving Equations Presentation 1 Algebraic Fractions

Unit 25 Solving Equations Presentation 1 Algebraic Fractions Presentation 2 Algebraic Fractions and Quadratic Equations Presentation 3 Solving Simultaneous Equations: One Linear and One Quadratic Presentation 4 Note

Unit 25 Solving Equations 25. 1 Algebraic Fractions

You can sometimes simplify fractions when the numerator and denominator are factorial. Example Simplify ? ? ?

Unit 25 Solving Equations 25. 2 Algebraic Fractions and Quadratic Equations

Example Solve Multiply both sides by Solution ? to give ? ? First combine the two fractions on the ? by putting ? ? LHS them over a common denominator. ? ? ? Simplify to give ? ? ? Divide each term by 4 ? ? ? Factorise ? Either So ? ? or ? ? ?

Unit 25 Solving Equations 25. 3 Solving Simultaneous Equations: One Linear and One Quadratic

To solve simultaneous equations when one is linear Solution and one quadratic, you have to first eliminate one variable. You can do this by substituting one of the variables fromcan the eliminate linear equation into the You y by taking onequadratic equation, from the forming a new quadratic in just one variable. other to give Example or ? This is a quadratic that can be factorised to give Solve the simultaneous equation ? Either So and ? ? or or etc. ? ? or ?

Unit 25 Solving Equations 25. 4 Note

Note The solution , or , in fact the points of intersection of the line with the quadratic function This is shown in the graph below are