What is the answer to x-4x^{1/2}+3=0 ?

The answer to x-4x^{1/2}+3=0 is x=9,x=1

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x-4x^{1/2}+3=0

x - 4 x^{\frac{1}{2}} + 3 = 0

x = 9, x = 1

Solution steps

x - 4 x^{\frac{1}{2}} + 3 = 0

Remove square roots

16 x = x^{2} + 6 x + 9

Solve

16 x = x^{2} + 6 x + 9 : x = 9, x = 1

x = 9, x = 1

Verify Solutions:

x = 9

True

, x = 1

True

The solutions are

x = 9, x = 1

(x + 7)^{0.5} = 2 x - 6

2 X = 4 X^{2} - 5 X + 50

3 x + 1 + x - 1 = 6

3 = x^{2}