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

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

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

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

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9 x^{2} - 12 x = 14

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

Move

14

to the left side

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) (2 x + 4) = 12

2 x^{2} - 1 = 11 x + 5

3 x^{2} - 12 x + 13

(100 - 2 x) (50 - 2 x) = 3600

(c + 1)^{2} = \frac{21}{2}

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