What is the answer to sqrt(4x+7)=2+sqrt(2x) ?

The answer to sqrt(4x+7)=2+sqrt(2x) is x= 9/2 ,x= 1/2

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sqrt(4x+7)=2+sqrt(2x)

4 x + 7 = 2 + 2 x

x = \frac{9}{2}, x = \frac{1}{2}

Decimal Notation

x = 4.5, x = 0.5

Solution steps

4 x + 7 = 2 + 2 x

Remove square roots

4 x^{2} + 12 x + 9 = 32 x

Solve

4 x^{2} + 12 x + 9 = 32 x : x = \frac{9}{2}, x = \frac{1}{2}

x = \frac{9}{2}, x = \frac{1}{2}

Verify Solutions:

x = \frac{9}{2}

True

, x = \frac{1}{2}

True

The solutions are

x = \frac{9}{2}, x = \frac{1}{2}

a = 21 - 2 a + 11

x - 2 x - 3 = 1

5 x + 11 - 1 = x

x + 5 - 20 = - 18

5 w + 3 = 4 w + 5

What is the answer to sqrt(4x+7)=2+sqrt(2x) ?
The answer to sqrt(4x+7)=2+sqrt(2x) is x= 9/2 ,x= 1/2
Solve for x: sqrt(4x+7)=2+sqrt(2x)
The solution is x= 9/2 ,x= 1/2