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Chapter 9: Q. 102 E (page 885)

In the following exercises, solve by completing the square.

5x2+20x=15

Short Answer

Expert verified

The solution isx=-2-7,x=-2+7

Step by step solution

01

Step 1. Given information 

Equation:5x2+20x=15

02

Step 2. Calculation   

We have,

5x2+20x=15

5x2+4x=53

5x2+4x5=535

x2+4x=3

x2+4x+12路42=3+12路42

x2+4x+22=3+22

x2+4x+4=3+4

x+22=7

x+22=7

x+2=卤7

x+2-2=-2-7,x+2-2=-2+7

x=-2-7,x=-2+7

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