What are the solutions to the equation 9x^2-12x-14=0 ?

The solutions to the equation 9x^2-12x-14=0 are x=(2+3sqrt(2))/3 ,x=(2-3sqrt(2))/3

Find the zeros of 9x^2-12x-14=0

The zeros of 9x^2-12x-14=0 are x=(2+3sqrt(2))/3 ,x=(2-3sqrt(2))/3

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9 x^{2} - 12 x - 14 = 0

x = \frac{2 + 3 2}{3}, x = \frac{2 - 3 2}{3}

Decimal Notation

x = 2.08088 \dots, x = - 0.74754 \dots

Solution steps

9 x^{2} - 12 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 9 ( - 14 )}{2 \cdot 9}

(- 12)^{2} - 4 \cdot 9 (- 14) = 182

x_{1, 2} = \frac{- ( - 12 ) \pm 18 2}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 18 2}{2 \cdot 9}, x_{2} = \frac{- ( - 12 ) - 18 2}{2 \cdot 9}

x = \frac{- ( - 12 ) + 18 2}{2 \cdot 9} : \frac{2 + 3 2}{3}

x = \frac{- ( - 12 ) - 18 2}{2 \cdot 9} : \frac{2 - 3 2}{3}

The solutions to the quadratic equation are:

x = \frac{2 + 3 2}{3}, x = \frac{2 - 3 2}{3}

x^{2} - 13 x + 1 = - 9 x + 6

x^{2} + 3 x + 10

x, x^{2} = a x y + b y

2 x^{2} - 7 x - 8 = 12

2 x^{2} - 12 x + 15

What are the solutions to the equation 9x^2-12x-14=0 ?
The solutions to the equation 9x^2-12x-14=0 are x=(2+3sqrt(2))/3 ,x=(2-3sqrt(2))/3
Find the zeros of 9x^2-12x-14=0
The zeros of 9x^2-12x-14=0 are x=(2+3sqrt(2))/3 ,x=(2-3sqrt(2))/3