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Chapter 10: Q 77 (page 1181)

Solve the equation by completing square method.

m2+4m=-44

Short Answer

Expert verified

The equation has no real solutions.

Step by step solution

01

Given Information 

The Given equation ism2+4m=-44.

02

Isolate the variable terms on one side and the constant terms on the other. 

The variable terms are on the left side.

m2+4m=-44

Here ,b=4

03

Find 12b2 and add to the both sides of equation. 

=12(4)2=22=4

Add 4both sides.

m2+4m+4=-44+4m2+4m+4=-40

04

Factor the perfect square trinomial as a binomial square. 

(m+2)2=-40

Use the square root property.

m+2=卤-40

The -40is not a real number.

Thus, the equation has no real solutions.

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