What is the answer to sqrt((7x+1)/4)=(5x-7)/6 ?

The answer to sqrt((7x+1)/4)=(5x-7)/6 is x=5

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sqrt((7x+1)/4)=(5x-7)/6

\frac{7 x + 1}{4} = \frac{5 x - 7}{6}

x = 5

Solution steps

\frac{7 x + 1}{4} = \frac{5 x - 7}{6}

Multiply both sides by

6

\frac{7 x + 1}{4} \cdot 6 = \frac{5 x - 7}{6} \cdot 6

Simplify

\frac{7 x + 1}{4} \cdot 6 = 5 x - 7

Square both sides:

9 (7 x + 1) = 25 x^{2} - 70 x + 49

9 (7 x + 1) = 25 x^{2} - 70 x + 49

Solve

9 (7 x + 1) = 25 x^{2} - 70 x + 49 : x = 5, x = \frac{8}{25}

x = 5, x = \frac{8}{25}

Verify Solutions:

x = 5

True

, x = \frac{8}{25}

False

The solution is

x = 5

a, a + b = a + b

x + 2 x - 1 = 2 x - 1

- x - 2 = x + 2

10 x - 6 = x + 1

9 x + 73 = x + 7

What is the answer to sqrt((7x+1)/4)=(5x-7)/6 ?
The answer to sqrt((7x+1)/4)=(5x-7)/6 is x=5
Solve for x: sqrt((7x+1)/4)=(5x-7)/6
The solution is x=5