What is the answer to a/(sqrt(a))=5 ?

The answer to a/(sqrt(a))=5 is a=25

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a/(sqrt(a))=5

\frac{a}{a} = 5

a = 25

Solution steps

\frac{a}{a} = 5

Multiply both sides by

a

\frac{a}{a} a = 5 a

Simplify

a = 5 a

Square both sides:

a^{2} = 25 a

a^{2} = 25 a

Solve

a^{2} = 25 a : a = 25, a = 0

a = 25, a = 0

Verify Solutions:

a = 25

True

, a = 0

False

The solution is

a = 25

y + 5 - 1 = 2

5 x + 4 = - 4 x - 4

x^{2} - x + 2 x^{2} - x - 5 = 8

1 - 8 x = 5 + 3 x + 9

9 x - 9 - 3 = 0