What are the solutions to the equation 3x^2-24x-100=0 ?

The solutions to the equation 3x^2-24x-100=0 are x=(2(6+sqrt(111)))/3 ,x=(2(6-sqrt(111)))/3

Find the zeros of 3x^2-24x-100=0

The zeros of 3x^2-24x-100=0 are x=(2(6+sqrt(111)))/3 ,x=(2(6-sqrt(111)))/3

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3 x^{2} - 24 x - 100 = 0

x = \frac{2 ( 6 + 111 )}{3}, x = \frac{2 ( 6 - 111 )}{3}

Solution steps

3 x^{2} - 24 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 3 ( - 100 )}{2 \cdot 3}

(- 24)^{2} - 4 \cdot 3 (- 100) = 4111

x_{1, 2} = \frac{- ( - 24 ) \pm 4 111}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 4 111}{2 \cdot 3}, x_{2} = \frac{- ( - 24 ) - 4 111}{2 \cdot 3}

x = \frac{- ( - 24 ) + 4 111}{2 \cdot 3} : \frac{2 ( 6 + 111 )}{3}

x = \frac{- ( - 24 ) - 4 111}{2 \cdot 3} : \frac{2 ( 6 - 111 )}{3}

The solutions to the quadratic equation are:

x = \frac{2 ( 6 + 111 )}{3}, x = \frac{2 ( 6 - 111 )}{3}

39 = x^{2} - 2 x + 4

x, (x + y_{i})^{2} = 3 - 4 i

x, 4 x^{2} + 9 x + 3 = 0

2 x^{2} - 3 x + \frac{5}{8} = 0

5 x^{2} - 3 x + 1 = - 3 x^{2} - 2 x

What are the solutions to the equation 3x^2-24x-100=0 ?
The solutions to the equation 3x^2-24x-100=0 are x=(2(6+sqrt(111)))/3 ,x=(2(6-sqrt(111)))/3
Find the zeros of 3x^2-24x-100=0
The zeros of 3x^2-24x-100=0 are x=(2(6+sqrt(111)))/3 ,x=(2(6-sqrt(111)))/3