What is the answer to sqrt(2x+5)+sqrt(10x-4)=7 ?

The answer to sqrt(2x+5)+sqrt(10x-4)=7 is x=2

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sqrt(2x+5)+sqrt(10x-4)=7

2 x + 5 + 10 x - 4 = 7

x = 2

Solution steps

2 x + 5 + 10 x - 4 = 7

Remove square roots

64 x^{2} + 640 x + 1600 = 1960 x - 784

Solve

64 x^{2} + 640 x + 1600 = 1960 x - 784 : x = \frac{149}{8}, x = 2

x = \frac{149}{8}, x = 2

Verify Solutions:

x = \frac{149}{8}

False

, x = 2

True

The solution is

x = 2

3 3 x - 2 = 5

x^{3} + 3 x^{2} + 3 x - (x - 6)^{\frac{1}{3}} + 8 = 0

\frac{x}{( x - 5 )} + \frac{( x - 5 )}{x} = \frac{21}{6}

2 x + 1 - 3 2 x - 5 = x - 2

x^{\frac{1}{3}} = 8

What is the answer to sqrt(2x+5)+sqrt(10x-4)=7 ?
The answer to sqrt(2x+5)+sqrt(10x-4)=7 is x=2
Solve for x: sqrt(2x+5)+sqrt(10x-4)=7
The solution is x=2