What is the answer to sqrt(2b-3)=4+sqrt(b+7) ?

The answer to sqrt(2b-3)=4+sqrt(b+7) is b=114

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sqrt(2b-3)=4+sqrt(b+7)

2 b - 3 = 4 + b + 7

b = 114

Solution steps

2 b - 3 = 4 + b + 7

Remove square roots

b^{2} - 52 b + 676 = 64 b + 448

Solve

b^{2} - 52 b + 676 = 64 b + 448 : b = 114, b = 2

b = 114, b = 2

Verify Solutions:

b = 114

True

, b = 2

False

The solution is

b = 114

9 x - 45 = x - 3

5 x + 4 - 4 x + 9 = 0

\frac{2 x + 1}{x} = 2

3 x - 1 = x - 4

What is the answer to sqrt(2b-3)=4+sqrt(b+7) ?
The answer to sqrt(2b-3)=4+sqrt(b+7) is b=114
Solve for b: sqrt(2b-3)=4+sqrt(b+7)
The solution is b=114