What are the solutions to the equation 6x^2-67x-100=0 ?

The solutions to the equation 6x^2-67x-100=0 are x= 25/2 ,x=-4/3

Find the zeros of 6x^2-67x-100=0

The zeros of 6x^2-67x-100=0 are x= 25/2 ,x=-4/3

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6 x^{2} - 67 x - 100 = 0

x = \frac{25}{2}, x = - \frac{4}{3}

Decimal Notation

x = 12.5, x = - 1.33333 \dots

Solution steps

6 x^{2} - 67 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 67 ) \pm ( - 67 ) ^{2} - 4 \cdot 6 ( - 100 )}{2 \cdot 6}

(- 67)^{2} - 4 \cdot 6 (- 100) = 83

x_{1, 2} = \frac{- ( - 67 ) \pm 83}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 67 ) + 83}{2 \cdot 6}, x_{2} = \frac{- ( - 67 ) - 83}{2 \cdot 6}

x = \frac{- ( - 67 ) + 83}{2 \cdot 6} : \frac{25}{2}

x = \frac{- ( - 67 ) - 83}{2 \cdot 6} : - \frac{4}{3}

The solutions to the quadratic equation are:

x = \frac{25}{2}, x = - \frac{4}{3}

x^{2} - 5 x + (- 25) = 4

\frac{- 11.86666 x ^{2} + 379.0771 x - 2604.10485}{2} = 0

1 + 6 x = 4 x^{2}

x, x^{2} + 8 x + y^{2} - 4 y + z^{2} - 6 z + 20 = 0

y^{2} + 22 y = 0

What are the solutions to the equation 6x^2-67x-100=0 ?
The solutions to the equation 6x^2-67x-100=0 are x= 25/2 ,x=-4/3
Find the zeros of 6x^2-67x-100=0
The zeros of 6x^2-67x-100=0 are x= 25/2 ,x=-4/3