What is the answer to (sqrt(a^2-18))/3 =2 ?

The answer to (sqrt(a^2-18))/3 =2 is a=3sqrt(6),a=-3sqrt(6)

Solve for a: (sqrt(a^2-18))/3 =2

The solution is a=3sqrt(6),a=-3sqrt(6)

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\frac{a ^{2} - 18}{3} = 2

a = 36, a = - 36

Decimal Notation

a = 7.34846 \dots, a = - 7.34846 \dots

Solution steps

\frac{a ^{2} - 18}{3} = 2

Multiply both sides by

3

\frac{a ^{2} - 18}{3} \cdot 3 = 2 \cdot 3

Simplify

a^{2} - 18 = 6

Square both sides:

a^{2} - 18 = 36

a^{2} - 18 = 36

Solve

a^{2} - 18 = 36 : a = 36, a = - 36

a = 36, a = - 36

Verify Solutions:

a = 36

True

, a = - 36

True

The solutions are

a = 36, a = - 36

- y - 3 + 4 = 2

x + 116 = x + 6

x = \frac{1}{x}

(x - 3)^{\frac{2}{3}} = 36

5 x - 1 = 3

What is the answer to (sqrt(a^2-18))/3 =2 ?
The answer to (sqrt(a^2-18))/3 =2 is a=3sqrt(6),a=-3sqrt(6)
Solve for a: (sqrt(a^2-18))/3 =2
The solution is a=3sqrt(6),a=-3sqrt(6)