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Solve the quadratic equation using square root property.

(m-4)2+3=15

Short Answer

Expert verified

The solutions arem=4±23.

Step by step solution

01

Given Information.  

The Given equation is(m-4)2+3=15.

02

Isolate the binomial term.

(m-4)2=15-3(m-4)2=12

03

Use the Square Root Property.

m-4=±12

Factor the radical.

m-4=±2×2×3m-4=±23

04

Solve for m.

m=4±23

Rewrite to show two solutions.

m=4+23,m=4-23

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