What are the solutions to the equation -6x^2-5x+6=0 ?

The solutions to the equation -6x^2-5x+6=0 are x=-3/2 ,x= 2/3

Find the zeros of -6x^2-5x+6=0

The zeros of -6x^2-5x+6=0 are x=-3/2 ,x= 2/3

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- 6 x^{2} - 5 x + 6 = 0

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

Decimal Notation

x = - 1.5, x = 0.66666 \dots

Solution steps

- 6 x^{2} - 5 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 ( - 6 ) \cdot 6}{2 ( - 6 )}

(- 5)^{2} - 4 (- 6) \cdot 6 = 13

x_{1, 2} = \frac{- ( - 5 ) \pm 13}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 13}{2 ( - 6 )}, x_{2} = \frac{- ( - 5 ) - 13}{2 ( - 6 )}

x = \frac{- ( - 5 ) + 13}{2 ( - 6 )} : - \frac{3}{2}

x = \frac{- ( - 5 ) - 13}{2 ( - 6 )} : \frac{2}{3}

The solutions to the quadratic equation are:

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

0 = - x^{2} - 8 x - 16

3 x^{2} + 6 x + 2

x^{2} + 8 x + 12 = 0

12 x^{2} + 17 x - 40 = 0

3 x^{2} + 6 x - 2

What are the solutions to the equation -6x^2-5x+6=0 ?
The solutions to the equation -6x^2-5x+6=0 are x=-3/2 ,x= 2/3
Find the zeros of -6x^2-5x+6=0
The zeros of -6x^2-5x+6=0 are x=-3/2 ,x= 2/3