What is the answer to sqrt(7x)+1=sqrt(10x-6) ?

The answer to sqrt(7x)+1=sqrt(10x-6) is x=7

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sqrt(7x)+1=sqrt(10x-6)

7 x + 1 = 10 x - 6

x = 7

Solution steps

7 x + 1 = 10 x - 6

Remove square roots

28 x = 9 x^{2} - 42 x + 49

Solve

28 x = 9 x^{2} - 42 x + 49 : x = 7, x = \frac{7}{9}

x = 7, x = \frac{7}{9}

Verify Solutions:

x = 7

True

, x = \frac{7}{9}

False

The solution is

x = 7

x^{\frac{1}{2}} - 6 x^{\frac{1}{4}} + 5 = 0

x^{2} - 2 x + 2 - x = 2 - x + 3

4 x - 32 - 16 = - 14

2 x = 10

4 + x = 2 x - 1

What is the answer to sqrt(7x)+1=sqrt(10x-6) ?
The answer to sqrt(7x)+1=sqrt(10x-6) is x=7
Solve for x: sqrt(7x)+1=sqrt(10x-6)
The solution is x=7