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

The answer to sqrt(2x+3)+sqrt(x-2)=4 is x=3

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sqrt(2x+3)+sqrt(x-2)=4

2 x + 3 + x - 2 = 4

x = 3

Solution steps

2 x + 3 + x - 2 = 4

Remove square roots

x^{2} - 22 x + 121 = 64 x - 128

Solve

x^{2} - 22 x + 121 = 64 x - 128 : x = 83, x = 3

x = 83, x = 3

Verify Solutions:

x = 83

False

, x = 3

True

The solution is

x = 3

2 x + 14 = x - 5

3 x - 2 = 5

x - 2 = x + 2

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

x + 5 - 3 = 4

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