What are the solutions to the equation 9x^2-24x-24=0 ?

The solutions to the equation 9x^2-24x-24=0 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3

Find the zeros of 9x^2-24x-24=0

The zeros of 9x^2-24x-24=0 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3

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

x = \frac{2 ( 2 + 10 )}{3}, x = \frac{2 ( 2 - 10 )}{3}

Decimal Notation

x = 3.44151 \dots, x = - 0.77485 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 9 ( - 24 )}{2 \cdot 9}

(- 24)^{2} - 4 \cdot 9 (- 24) = 1210

x_{1, 2} = \frac{- ( - 24 ) \pm 12 10}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 12 10}{2 \cdot 9}, x_{2} = \frac{- ( - 24 ) - 12 10}{2 \cdot 9}

x = \frac{- ( - 24 ) + 12 10}{2 \cdot 9} : \frac{2 ( 2 + 10 )}{3}

x = \frac{- ( - 24 ) - 12 10}{2 \cdot 9} : \frac{2 ( 2 - 10 )}{3}

The solutions to the quadratic equation are:

x = \frac{2 ( 2 + 10 )}{3}, x = \frac{2 ( 2 - 10 )}{3}

14 x + 3 = - 8 x^{2}

2 x^{2} - 12 = 2 x

x, z = x y^{2} (1 - x - y)

4 x^{2} + 6 x + 35 = 16 x^{2} + 7 x

m (m - 6) = 0

What are the solutions to the equation 9x^2-24x-24=0 ?
The solutions to the equation 9x^2-24x-24=0 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3
Find the zeros of 9x^2-24x-24=0
The zeros of 9x^2-24x-24=0 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3