What is the answer to sqrt(2)x-8=sqrt(x)+3 ?

The answer to sqrt(2)x-8=sqrt(x)+3 is x=(22sqrt(2)+1+sqrt(1+44\sqrt{2)})/4

Solve for x: sqrt(2)x-8=sqrt(x)+3

The solution is x=(22sqrt(2)+1+sqrt(1+44\sqrt{2)})/4

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2 x - 8 = x + 3

x = \frac{22 2 + 1 + 1 + 44 2}{4}

Decimal Notation

x = 10.01603 \dots

Solution steps

2 x - 8 = x + 3

Remove square roots

2 x^{2} - 222 x + 121 = x

Solve

2 x^{2} - 222 x + 121 = x : x = \frac{22 2 + 1 + 1 + 44 2}{4}, x = \frac{22 2 + 1 - 1 + 44 2}{4}

x = \frac{22 2 + 1 + 1 + 44 2}{4}, x = \frac{22 2 + 1 - 1 + 44 2}{4}

Verify Solutions:

x = \frac{22 2 + 1 + 1 + 44 2}{4}

True

, x = \frac{22 2 + 1 - 1 + 44 2}{4}

False

The solution is

x = \frac{22 2 + 1 + 1 + 44 2}{4}

2 x + 8 - 2 x + 5 = - 2

x = 18 - x^{2}

0.3758 = 9 x^{- 2.103}

x, z = y + x^{2}

What is the answer to sqrt(2)x-8=sqrt(x)+3 ?
The answer to sqrt(2)x-8=sqrt(x)+3 is x=(22sqrt(2)+1+sqrt(1+44\sqrt{2)})/4
Solve for x: sqrt(2)x-8=sqrt(x)+3
The solution is x=(22sqrt(2)+1+sqrt(1+44\sqrt{2)})/4