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

The answer to sqrt(2x-2)=((x+7))/4 is x=9

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sqrt(2x-2)=((x+7))/4

2 x - 2 = \frac{( x + 7 )}{4}

x = 9

Solution steps

2 x - 2 = \frac{( x + 7 )}{4}

Multiply both sides by

4

2 x - 2 \cdot 4 = \frac{x + 7}{4} \cdot 4

Simplify

2 x - 2 \cdot 4 = x + 7

Square both sides:

32 x - 32 = x^{2} + 14 x + 49

32 x - 32 = x^{2} + 14 x + 49

Solve

32 x - 32 = x^{2} + 14 x + 49 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

x, \frac{x}{y} + \frac{y}{x} = \frac{10}{3}

5 x + 1 - 25 = 0

5 x^{2} + 3 x - 33 = 3 x

x^{2} - 2 5 x + 4 = 0

x = - 1

What is the answer to sqrt(2x-2)=((x+7))/4 ?
The answer to sqrt(2x-2)=((x+7))/4 is x=9
Solve for x: sqrt(2x-2)=((x+7))/4
The solution is x=9