What is the answer to (x-2)/4+9sqrt((x-2)/4)=10 ?

The answer to (x-2)/4+9sqrt((x-2)/4)=10 is x=6

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(x-2)/4+9sqrt((x-2)/4)=10

\frac{x - 2}{4} + 9 \frac{x - 2}{4} = 10

x = 6

Solution steps

\frac{x - 2}{4} + 9 \frac{x - 2}{4} = 10

Multiply both sides by

4

\frac{x - 2}{4} \cdot 4 + 9 \frac{x - 2}{4} \cdot 4 = 10 \cdot 4

Simplify

x - 2 + 36 \frac{x - 2}{4} = 40

Remove square roots

324 (x - 2) = x^{2} - 84 x + 1764

Solve

324 (x - 2) = x^{2} - 84 x + 1764 : x = 402, x = 6

x = 402, x = 6

Verify Solutions:

x = 402

False

, x = 6

True

The solution is

x = 6

3 = x - 1

2 x - 1 - x + 3 + 1 = 0

a, r = \frac{a}{3}

x = \frac{32}{x ^{2}}

- 3 16 x + 14 = - 10

What is the answer to (x-2)/4+9sqrt((x-2)/4)=10 ?
The answer to (x-2)/4+9sqrt((x-2)/4)=10 is x=6
Solve for x: (x-2)/4+9sqrt((x-2)/4)=10
The solution is x=6