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

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

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

2 x + 5 x - 6 = 4

x = 2

Solution steps

2 x + 5 x - 6 = 4

Remove square roots

9 x^{2} + 60 x + 100 = 320 x - 384

Solve

9 x^{2} + 60 x + 100 = 320 x - 384 : x = \frac{242}{9}, x = 2

x = \frac{242}{9}, x = 2

Verify Solutions:

x = \frac{242}{9}

False

, x = 2

True

The solution is

x = 2

5 x^{2} - 44 = 3 x - 8

x - 4 x - 2 = 0

x^{- \frac{4}{3}} = 81

3 y + 4 = 2 + y + 2

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