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Chapter 9: Q 75E. (page 885)

In the following exercises, solve by completing the square.

u2+2u=3

Short Answer

Expert verified

The required solution isu=1.

Step by step solution

01

Step 1. Given Information

We are given the quadratic equationu2+2u=3

02

Step 2. Calculation

u2+2u=3

u2+2u+(22)2=3+(22)2 take half of 2and sqaure it and add it to both sides

u2+2u+1=3+1

(u+1)2=4 simplify

u+1=2 taking square root on both sides

u=2-1u=1 simplify

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