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(sqrt(79)-4))/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(sqrt(79)-4))/3

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

x = - \frac{2 ( 4 + 79 )}{3}, x = \frac{2 ( 79 - 4 )}{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 ( - 3 ) \cdot 84}{2 ( - 3 )}

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

125 - x^{2} = x^{2} + 15 x

x^{2} \cdot 3 = 33

x^{2} - 4 x + 10 = 0

r^{2} + 32 = 12 r

5200 + 25 x + \frac{1}{2} x^{2} = (195 - \frac{1}{2} x) x

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(sqrt(79)-4))/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(sqrt(79)-4))/3