Chapter 9 - Quadratic Functions and Equations - 9-4 Factoring to Solve Quadratic Equations - Practice and Problem-Solving Exercises - Page 558: 27

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Work Step by Step

$x*(x+2)=24$ $x^2+2x=24$ $x^2+2x-24=24-24$ $x^2+2x-24=0$ $(x+6)(x-4)=0$ $x+6 = 0$ $x+6-6 = 0-6$ $x = -6$ $x-4=0$ $x-4+4 =0+4$ $x = 4$ We can't have a negative length, so $x\ne-6$

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