SOLUTION: Solve square root of (x+5) + square root of (x-3) = 4
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Question 255966
:
Solve square root of (x+5) + square root of (x-3) = 4
Answer by
edjones(8007)
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sqrt(x+5)+sqrt(x-3)=4
x+5+2sqrt(x+5)sqrt(x-3)+x-3=16 square each side.
2sqrt(x+5)sqrt(x-3)=14-2x
sqrt(x+5)sqrt(x-3)=7-x
(x+5)(x-3)=x^2-14x+49 square each side.
x^2+2x-15=x^2-14x+49
16x-64=0
16x=64
x=4
.
Ed