What is the answer to sqrt(2x-5)+sqrt(x+6)=4 ?

The answer to sqrt(2x-5)+sqrt(x+6)=4 is x=3

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sqrt(2x-5)+sqrt(x+6)=4

2 x - 5 + x + 6 = 4

x = 3

Solution steps

2 x - 5 + x + 6 = 4

Remove square roots

x^{2} - 54 x + 729 = 64 x + 384

Solve

x^{2} - 54 x + 729 = 64 x + 384 : x = 115, x = 3

x = 115, x = 3

Verify Solutions:

x = 115

False

, x = 3

True

The solution is

x = 3

y, x^{2} + y^{2} = 1

x, x^{2} + y^{2} = r

\frac{4}{x} = 3 x - 2

9 x^{\frac{4}{3}} - 10 x^{\frac{2}{3}} + 1 = 0

(x^{2} + 1)^{2} = 5

What is the answer to sqrt(2x-5)+sqrt(x+6)=4 ?
The answer to sqrt(2x-5)+sqrt(x+6)=4 is x=3
Solve for x: sqrt(2x-5)+sqrt(x+6)=4
The solution is x=3