What is the answer to sqrt(5\sqrt{x)}=sqrt(2x-3) ?

The answer to sqrt(5\sqrt{x)}=sqrt(2x-3) is x=9

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sqrt(5\sqrt{x)}=sqrt(2x-3)

5 x = 2 x - 3

x = 9

Solution steps

5 x = 2 x - 3

Remove square roots

25 x = 4 x^{2} - 12 x + 9

Solve

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

x = 9, x = \frac{1}{4}

Verify Solutions:

x = 9

True

, x = \frac{1}{4}

False

The solution is

x = 9

7 x + 39 = x + 7

x + 7 - 11 = 2

2 + 2 X = - X + 10

9 y + 4 = 7 y + 1 + 1

2 x^{\frac{7}{2}} - 10 = 0

What is the answer to sqrt(5\sqrt{x)}=sqrt(2x-3) ?
The answer to sqrt(5\sqrt{x)}=sqrt(2x-3) is x=9
Solve for x: sqrt(5\sqrt{x)}=sqrt(2x-3)
The solution is x=9