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Chapter 10: Q 10.49 (page 1178)

Solve2m2+16m-8=0.

Short Answer

Expert verified

The solutions arem=-4卤25

Step by step solution

01

Given Information.  

The Given equation is2m2+16m-8=0.

02

Divide both sides by 2.

12(2m2+16m-8)=0

m2+8m-4=0

m2+8m=4

Here, b=8.

So, add 12b2to both sides.

m2+8m+16=4+16m2+8m+16=20

03

Factor the perfect square trinomial as a binomial square.     

(m+4)2=20

Use the square root property.

m+4=卤20m=卤25-4m=-4卤25

Rewrite to show two solutions.

m=-4+25,m=-4-25

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