What are the solutions to the equation 3x^2-16x-84=0 ?

The solutions to the equation 3x^2-16x-84=0 are x=(2(4+sqrt(79)))/3 ,x=(2(4-sqrt(79)))/3

Find the zeros of 3x^2-16x-84=0

The zeros of 3x^2-16x-84=0 are x=(2(4+sqrt(79)))/3 ,x=(2(4-sqrt(79)))/3

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3 x^{2} - 16 x - 84 = 0

x = \frac{2 ( 4 + 79 )}{3}, x = \frac{2 ( 4 - 79 )}{3}

Decimal Notation

x = 8.59212 \dots, x = - 3.25879 \dots

Solution steps

3 x^{2} - 16 x - 84 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 3 ( - 84 )}{2 \cdot 3}

(- 16)^{2} - 4 \cdot 3 (- 84) = 479

x_{1, 2} = \frac{- ( - 16 ) \pm 4 79}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 4 79}{2 \cdot 3}, x_{2} = \frac{- ( - 16 ) - 4 79}{2 \cdot 3}

x = \frac{- ( - 16 ) + 4 79}{2 \cdot 3} : \frac{2 ( 4 + 79 )}{3}

x = \frac{- ( - 16 ) - 4 79}{2 \cdot 3} : \frac{2 ( 4 - 79 )}{3}

The solutions to the quadratic equation are:

x = \frac{2 ( 4 + 79 )}{3}, x = \frac{2 ( 4 - 79 )}{3}

2 x^{2} - 2 x = - 5

(x - a) (x + b) = 0

- 16 x^{2} + 112 x + 84 = 0

\frac{1}{2} x^{2} + x - 12 = 0

18 x^{2} - 3 x - 8 = 0

What are the solutions to the equation 3x^2-16x-84=0 ?
The solutions to the equation 3x^2-16x-84=0 are x=(2(4+sqrt(79)))/3 ,x=(2(4-sqrt(79)))/3
Find the zeros of 3x^2-16x-84=0
The zeros of 3x^2-16x-84=0 are x=(2(4+sqrt(79)))/3 ,x=(2(4-sqrt(79)))/3