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Chapter 9: Q. 96 E (page 885)

Solve quadratic equations of the form x2+bx+c=0by completing the square.

In the following exercises , solve by completing the square.

(y+9)(y+7)=80

Short Answer

Expert verified

The required value ofyis1,-17

Step by step solution

01

Given information

(y+9)(y+7)=80

02

Calculation

(y+9)(y+7)=80鈬�y(y+7)+9(y+7)=80鈬�y2+7y+9y+63=80鈬�y2+16y=80-63鈬�y2+16y=17鈬�y2+16y+(12脳16)2=17 鈬�y2+16y+64=17+64鈬�(y+8)2=81 鈬�y+8=卤81=卤9鈬�y=-8卤9=-8+9,-8-9=1,-17

The required value ofyis1,-17

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Most popular questions from this chapter

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