What is the answer to 135pi=9pisqrt(9^2+x^2) ?

The answer to 135pi=9pisqrt(9^2+x^2) is x=12,x=-12

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135pi=9pisqrt(9^2+x^2)

135 π = 9 π 9^{2} + x^{2}

x = 12, x = - 12

Solution steps

135 π = 9 π 9^{2} + x^{2}

Switch sides

9 π 9^{2} + x^{2} = 135 π

Divide both sides by

9 π

9^{2} + x^{2} = 15

Square both sides:

81 + x^{2} = 225

81 + x^{2} = 225

Solve

81 + x^{2} = 225 : x = 12, x = - 12

x = 12, x = - 12

Verify Solutions:

x = 12

True

, x = - 12

True

The solutions are

x = 12, x = - 12

4 x - 1 = 3

\frac{2 x}{x ^{2} + 4} - 1 = 0

\frac{2 x - 3}{x - 1} = 2

What is the answer to 135pi=9pisqrt(9^2+x^2) ?
The answer to 135pi=9pisqrt(9^2+x^2) is x=12,x=-12