What is the answer to 11sqrt(x)-1=5+7sqrt(x)-1 ?

The answer to 11sqrt(x)-1=5+7sqrt(x)-1 is x= 25/16

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11sqrt(x)-1=5+7sqrt(x)-1

11 x - 1 = 5 + 7 x - 1

x = \frac{25}{16}

Decimal Notation

x = 1.5625

Solution steps

11 x - 1 = 5 + 7 x - 1

Expand

5 + 7 x - 1 : 7 x + 4

11 x - 1 = 7 x + 4

Move

1

to the right side

11 x = 7 x + 5

Move

7 x

to the left side

4 x = 5

Divide both sides by

4

x = \frac{5}{4}

Square both sides:

x = \frac{25}{16}

x = \frac{25}{16}

Verify Solutions:

x = \frac{25}{16}

True

The solution is

x = \frac{25}{16}

x, x = 2 E + 12

x - 2 = 2 - x

4 - x^{2} = \frac{( 4 - x )}{2}

0.5 x - x^{0.5} = 0

2 x + 5 + 4 = 12

What is the answer to 11sqrt(x)-1=5+7sqrt(x)-1 ?
The answer to 11sqrt(x)-1=5+7sqrt(x)-1 is x= 25/16
Solve for x: 11sqrt(x)-1=5+7sqrt(x)-1
The solution is x= 25/16