What are the solutions to the equation 3(5x+9)^2-31=14 ?

The solutions to the equation 3(5x+9)^2-31=14 are x=(sqrt(15)-9)/5 ,x=(-sqrt(15)-9)/5

Find the zeros of 3(5x+9)^2-31=14

The zeros of 3(5x+9)^2-31=14 are x=(sqrt(15)-9)/5 ,x=(-sqrt(15)-9)/5

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3 (5 x + 9)^{2} - 31 = 14

x = \frac{15 - 9}{5}, x = \frac{- 15 - 9}{5}

Decimal Notation

x = - 1.02540 \dots, x = - 2.57459 \dots

Solution steps

3 (5 x + 9)^{2} - 31 = 14

Move

31

to the right side

3 (5 x + 9)^{2} = 45

Divide both sides by

3

(5 x + 9)^{2} = 15

For

(g (x))^{2} = f (a)

the solutions are

g (x) = f (a), - f (a)

Solve

5 x + 9 = 15 : x = \frac{15 - 9}{5}

Solve

5 x + 9 = - 15 : x = \frac{- 15 - 9}{5}

The solutions to the quadratic equation are:

x = \frac{15 - 9}{5}, x = \frac{- 15 - 9}{5}

x^{2} - 12 x - 24 = 0

3^{2} = 2^{2} + x^{2}

x^{2} - 8 x + 7 = 0

5 x^{2} + 4 x = 0

x, y^{2} - x^{2} = x y + x^{2} y

What are the solutions to the equation 3(5x+9)^2-31=14 ?
The solutions to the equation 3(5x+9)^2-31=14 are x=(sqrt(15)-9)/5 ,x=(-sqrt(15)-9)/5
Find the zeros of 3(5x+9)^2-31=14
The zeros of 3(5x+9)^2-31=14 are x=(sqrt(15)-9)/5 ,x=(-sqrt(15)-9)/5