Home > AC > Chapter 12 > Lesson 12.2.2 > Problem12-51

12-51.

1. $x^2 − 14x = −24$

1. $x^2 + 6x − 9 = 0$

1. $x^2 − 198x + 9797 = 0$

1. $x^2 − 9x = 15.75$

Add $49$ to both sides.

$x^² − 14x + 49 = −24 + 49$

Simplify. $(x − 7)^² = 25$

Write two equations.

$x − 7 = 5 x − 7 = −5$

$x=12$ or $−2$

Add $9$ to both sides.

Follow the steps in part (a).

Follow the steps in part (b).

$x = 97$ or $101$

Follow the steps in part (a).