What is the answer to (27)/(xsqrt(x))=xsqrt(x) ?

The answer to (27)/(xsqrt(x))=xsqrt(x) is x=3

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(27)/(xsqrt(x))=xsqrt(x)

\frac{27}{x x} = x x

x = 3

Solution steps

\frac{27}{x x} = x x

Multiply both sides by

x x

\frac{27}{x x} x x = x x x x

Simplify

27 = (x)^{2} x^{2}

Move

(x)^{2} x^{2}

to the left side

27 - (x)^{2} x^{2} = 0

Factor

27 - (x)^{2} x^{2} : (x x + 33) (- x x + 33)

(x x + 33) (- x x + 33) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x x + 33 = 0 or - x x + 33 = 0

Solve

x x + 33 = 0 :

No Solution for

x \in R

Solve

- x x + 33 = 0 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

x^{2} = 5

x^{2} = 0

16 - 6 x = x

- 48 + 14 x = x

7 x + 60 = x

What is the answer to (27)/(xsqrt(x))=xsqrt(x) ?
The answer to (27)/(xsqrt(x))=xsqrt(x) is x=3
Solve for x: (27)/(xsqrt(x))=xsqrt(x)
The solution is x=3