What is the answer to sqrt(x)+2=sqrt(3+5x) ?

The answer to sqrt(x)+2=sqrt(3+5x) is x=(3+2sqrt(2))/4

Solve for x: sqrt(x)+2=sqrt(3+5x)

The solution is x=(3+2sqrt(2))/4

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x + 2 = 3 + 5 x

x = \frac{3 + 2 2}{4}

Decimal Notation

x = 1.45710 \dots

Solution steps

x + 2 = 3 + 5 x

Remove square roots

16 x = 16 x^{2} - 8 x + 1

Solve

16 x = 16 x^{2} - 8 x + 1 : x = \frac{3 + 2 2}{4}, x = \frac{3 - 2 2}{4}

x = \frac{3 + 2 2}{4}, x = \frac{3 - 2 2}{4}

Verify Solutions:

x = \frac{3 + 2 2}{4}

True

, x = \frac{3 - 2 2}{4}

False

The solution is

x = \frac{3 + 2 2}{4}

7 x + 28 = x + 4

x^{- \frac{1}{3}} = 0

1 = 2 π \frac{l}{3.711}

8 x + 1 = 5 x + 7

What is the answer to sqrt(x)+2=sqrt(3+5x) ?
The answer to sqrt(x)+2=sqrt(3+5x) is x=(3+2sqrt(2))/4
Solve for x: sqrt(x)+2=sqrt(3+5x)
The solution is x=(3+2sqrt(2))/4