What is the answer to sqrt(10x)-4=sqrt(x+26) ?

The answer to sqrt(10x)-4=sqrt(x+26) is x=10

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sqrt(10x)-4=sqrt(x+26)

10 x - 4 = x + 26

x = 10

Solution steps

10 x - 4 = x + 26

Remove square roots

640 x = 81 x^{2} - 180 x + 100

Solve

640 x = 81 x^{2} - 180 x + 100 : x = 10, x = \frac{10}{81}

x = 10, x = \frac{10}{81}

Verify Solutions:

x = 10

True

, x = \frac{10}{81}

False

The solution is

x = 10

9 x^{2} - 5 - 3 x + 1 = 0

x - x = 2

7 + 2 + x - 3 = 3

x + 11 = \frac{x ^{2} + 1}{2}

x - 5 - 4 x - 7 = 0

What is the answer to sqrt(10x)-4=sqrt(x+26) ?
The answer to sqrt(10x)-4=sqrt(x+26) is x=10
Solve for x: sqrt(10x)-4=sqrt(x+26)
The solution is x=10