What is the answer to sqrt(8)x-11=sqrt(x)+3 ?

The answer to sqrt(8)x-11=sqrt(x)+3 is x=(56sqrt(2)+1+sqrt(1+112\sqrt{2)})/(16)

Solve for x: sqrt(8)x-11=sqrt(x)+3

The solution is x=(56sqrt(2)+1+sqrt(1+112\sqrt{2)})/(16)

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8 x - 11 = x + 3

x = \frac{56 2 + 1 + 1 + 112 2}{16}

Decimal Notation

x = 5.80131 \dots

Solution steps

8 x - 11 = x + 3

Expand

8 x - 11 : 22 x - 11

22 x - 11 = x + 3

Remove square roots

8 x^{2} - 562 x + 196 = x

Solve

8 x^{2} - 562 x + 196 = x : x = \frac{56 2 + 1 + 1 + 112 2}{16}, x = \frac{56 2 + 1 - 1 + 112 2}{16}

x = \frac{56 2 + 1 + 1 + 112 2}{16}, x = \frac{56 2 + 1 - 1 + 112 2}{16}

Verify Solutions:

x = \frac{56 2 + 1 + 1 + 112 2}{16}

True

, x = \frac{56 2 + 1 - 1 + 112 2}{16}

False

The solution is

x = \frac{56 2 + 1 + 1 + 112 2}{16}

x - 7 = x - 1

x - x + 28 = 2

a^{\frac{- 6}{8}} = 0.001

(x + 5)^{\frac{2}{3}} = 9

What is the answer to sqrt(8)x-11=sqrt(x)+3 ?
The answer to sqrt(8)x-11=sqrt(x)+3 is x=(56sqrt(2)+1+sqrt(1+112\sqrt{2)})/(16)
Solve for x: sqrt(8)x-11=sqrt(x)+3
The solution is x=(56sqrt(2)+1+sqrt(1+112\sqrt{2)})/(16)