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

The answer to sqrt(x+5)+sqrt(x-2)=sqrt(5x-6) is x=11

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

x + 5 + x - 2 = 5 x - 6

x = 11

Solution steps

x + 5 + x - 2 = 5 x - 6

Remove square roots

4 x^{2} + 12 x - 40 = 9 x^{2} - 54 x + 81

Solve

4 x^{2} + 12 x - 40 = 9 x^{2} - 54 x + 81 : x = \frac{11}{5}, x = 11

x = \frac{11}{5}, x = 11

Verify Solutions:

x = \frac{11}{5}

False

, x = 11

True

The solution is

x = 11

x + 64 = 0

- x + (3 x - 11)^{\frac{1}{2}} = - 3

243 = (17 - 4 n)^{\frac{6}{4}}

1 + 2 x + 7 = x - 3

x^{\frac{1}{2}} - 7 x^{\frac{1}{4}} + 12 = 0

What is the answer to sqrt(x+5)+sqrt(x-2)=sqrt(5x-6) ?
The answer to sqrt(x+5)+sqrt(x-2)=sqrt(5x-6) is x=11
Solve for x: sqrt(x+5)+sqrt(x-2)=sqrt(5x-6)
The solution is x=11