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Chapter 10: Q 84 (page 1181)

Solve the equation by completing square method.

z2+2z-5=2

Short Answer

Expert verified

The solutions arez=-1+22,z=-1-22.

Step by step solution

01

Given Information    

The Given equation isz2+2z-5=2

02

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

z2+2z=2+5z2+2z=7

Here, b=2.

So, 12b2=12(2)2=(1)2=1.

Add 1to both sides of equation.

z2+2z+1=7+1z2+2z+1=8

03

Factor the perfect square trinomial as a binomial square. 

(z+1)2=8

Use the square root property.

z+1=卤8z+1=卤2脳2脳2z+1=卤22

04

Solve for z.

z=-1卤22

Rewrite to show two solutions.

z=-1+22,z=-1-22

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