SOLUTION: 27X^2/25 = 1/3

Question 396535: 27X^2/25 = 1/3
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

First let's eliminate the fraction by multiplying both sides by 25:

Dividing both sides by 27 isolates the base, x, and its exponent, 2:

Now we can find the square root of each side:

On the left side we get not "x" but . This is so because a square root is supposed to be positive but we do not know if x is positive. Using absolute value like this ensures that we get a positive square root.

On the right side we can use a property of radicals, , to split the square root of a fraction into a fraction of the square roots of the numerator and denominator:

which simplifies to:

Solving the absolute value equation we get:
or
These are both solutions to your equation.
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