What are the solutions to the equation 24x^2-36x-24=0 ?

The solutions to the equation 24x^2-36x-24=0 are x=2,x=-1/2

Find the zeros of 24x^2-36x-24=0

The zeros of 24x^2-36x-24=0 are x=2,x=-1/2

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24 x^{2} - 36 x - 24 = 0

x = 2, x = - \frac{1}{2}

Decimal Notation

x = 2, x = - 0.5

Solution steps

24 x^{2} - 36 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 24 ( - 24 )}{2 \cdot 24}

(- 36)^{2} - 4 \cdot 24 (- 24) = 60

x_{1, 2} = \frac{- ( - 36 ) \pm 60}{2 \cdot 24}

Separate the solutions

x_{1} = \frac{- ( - 36 ) + 60}{2 \cdot 24}, x_{2} = \frac{- ( - 36 ) - 60}{2 \cdot 24}

x = \frac{- ( - 36 ) + 60}{2 \cdot 24} : 2

x = \frac{- ( - 36 ) - 60}{2 \cdot 24} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = 2, x = - \frac{1}{2}

24 x^{2} - 6 x = 0

x, x^{2} + 3 x - 5 = 0

3 x^{2} + 2 x = - 9

x (13 + x) + 6 = 42

x^{2} + 4 x + 1 = 0

What are the solutions to the equation 24x^2-36x-24=0 ?
The solutions to the equation 24x^2-36x-24=0 are x=2,x=-1/2
Find the zeros of 24x^2-36x-24=0
The zeros of 24x^2-36x-24=0 are x=2,x=-1/2