What is the answer to (1)sqrt(9x^2-25)=12 ?

The answer to (1)sqrt(9x^2-25)=12 is x= 13/3 ,x=-13/3

Solve for x: (1)sqrt(9x^2-25)=12

The solution is x= 13/3 ,x=-13/3

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(1) 9 x^{2} - 25 = 12

x = \frac{13}{3}, x = - \frac{13}{3}

Decimal Notation

x = 4.33333 \dots, x = - 4.33333 \dots

Solution steps

(1) 9 x^{2} - 25 = 12

Expand

1 \cdot 9 x^{2} - 25 : 9 x^{2} - 25

9 x^{2} - 25 = 12

Square both sides:

9 x^{2} - 25 = 144

9 x^{2} - 25 = 144

Solve

9 x^{2} - 25 = 144 : x = \frac{13}{3}, x = - \frac{13}{3}

x = \frac{13}{3}, x = - \frac{13}{3}

Verify Solutions:

x = \frac{13}{3}

True

, x = - \frac{13}{3}

True

The solutions are

x = \frac{13}{3}, x = - \frac{13}{3}

3 x - 5 + 3 x - 14 = 9

a, 11 + 21 = \frac{a}{b} + \frac{c}{d}

x^{\frac{1}{2}} = 9

x - 1 = 3 - x

3 x^{2} + 7 5 x - 30 = 0

What is the answer to (1)sqrt(9x^2-25)=12 ?
The answer to (1)sqrt(9x^2-25)=12 is x= 13/3 ,x=-13/3
Solve for x: (1)sqrt(9x^2-25)=12
The solution is x= 13/3 ,x=-13/3