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Chapter 7: Q. 478 (page 901)

In the following exercises, solve:

x2+9x+20=0.

Short Answer

Expert verified

The solution for the equation is,

x=-4x=-5

Step by step solution

01

Step 1. Given Information.

The equation is,

x2+9x+20=0.

02

Step 2. Finding the solution.

x2+9x+20=0.

Splitting the middle term such that the sum of the terms is 9and the product of the terms is 20,

鈬�x2+4x+5x+20=0鈬�(x2+4x)+(5x+20)=0鈬�x(x+4)+5(x+4)=0鈬�(x+4)(x+5)=0鈬�x+4=0

or, role="math" localid="1647719897934" x+5=0鈬�x=-4

or,x=-5

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