What is the answer to x-5x^{1/2}+4=0 ?

The answer to x-5x^{1/2}+4=0 is x=16,x=1

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x-5x^{1/2}+4=0

x - 5 x^{\frac{1}{2}} + 4 = 0

x = 16, x = 1

Solution steps

x - 5 x^{\frac{1}{2}} + 4 = 0

Remove square roots

25 x = x^{2} + 8 x + 16

Solve

25 x = x^{2} + 8 x + 16 : x = 16, x = 1

x = 16, x = 1

Verify Solutions:

x = 16

True

, x = 1

True

The solutions are

x = 16, x = 1

5 - 2 x = 2 x^{2} + x - 1 - x

x + 5 - 3 = 4

2 a - 5 = a - 4

x^{2} - x - 1 = x + 5

2 x - 1 - x - 4 = 2