What is the answer to 6x-5sqrt(x)-6=0 ?

The answer to 6x-5sqrt(x)-6=0 is x= 9/4

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6x-5sqrt(x)-6=0

6 x - 5 x - 6 = 0

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

6 x - 5 x - 6 = 0

Remove square roots

25 x = 36 x^{2} - 72 x + 36

Solve

25 x = 36 x^{2} - 72 x + 36 : x = \frac{9}{4}, x = \frac{4}{9}

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

Verify Solutions:

x = \frac{9}{4}

True

, x = \frac{4}{9}

False

The solution is

x = \frac{9}{4}

f, f (x - 3) = x + 3 + 3

x - 1 = x - 9

x - 4 x - 1 = - 3

t^{\frac{2}{3}} = \frac{1}{3}

20 + x + 4 = 8