What is the answer to 3*(x-1)^{0.5}+11=2x ?

The answer to 3*(x-1)^{0.5}+11=2x is x=10

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3*(x-1)^{0.5}+11=2x

3 \cdot (x - 1)^{0.5} + 11 = 2 x

x = 10

Solution steps

3 (x - 1)^{0.5} + 11 = 2 x

Remove square roots

9 x - 9 = 4 x^{2} - 44 x + 121

Solve

9 x - 9 = 4 x^{2} - 44 x + 121 : x = 10, x = \frac{13}{4}

x = 10, x = \frac{13}{4}

Verify Solutions:

x = 10

True

, x = \frac{13}{4}

False

The solution is

x = 10

x - 10 + x + 5 = 5

2 x + 95 - 8 = 1

9 x + 58 = x + 8

5 x + 66 - 10 = - 1

What is the answer to 3*(x-1)^{0.5}+11=2x ?
The answer to 3*(x-1)^{0.5}+11=2x is x=10
Solve for x: 3*(x-1)^{0.5}+11=2x
The solution is x=10