What are the solutions to the equation 6x^2-5x-56=0 ?

The solutions to the equation 6x^2-5x-56=0 are x= 7/2 ,x=-8/3

Find the zeros of 6x^2-5x-56=0

The zeros of 6x^2-5x-56=0 are x= 7/2 ,x=-8/3

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6 x^{2} - 5 x - 56 = 0

x = \frac{7}{2}, x = - \frac{8}{3}

Decimal Notation

x = 3.5, x = - 2.66666 \dots

Solution steps

6 x^{2} - 5 x - 56 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 6 ( - 56 )}{2 \cdot 6}

(- 5)^{2} - 4 \cdot 6 (- 56) = 37

x_{1, 2} = \frac{- ( - 5 ) \pm 37}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 37}{2 \cdot 6}, x_{2} = \frac{- ( - 5 ) - 37}{2 \cdot 6}

x = \frac{- ( - 5 ) + 37}{2 \cdot 6} : \frac{7}{2}

x = \frac{- ( - 5 ) - 37}{2 \cdot 6} : - \frac{8}{3}

The solutions to the quadratic equation are:

x = \frac{7}{2}, x = - \frac{8}{3}

24 x + 9 = - 16 x^{2}

(x - 7)^{2} - 7 (x - 7) + 10 = 0

5 x^{2} + 7 x + 20 = 7 x^{2} + 3 x - 10

- 2 x^{2} - 32 x - 112 = 0

3 x^{2} - 24 = - 9 x^{2}

What are the solutions to the equation 6x^2-5x-56=0 ?
The solutions to the equation 6x^2-5x-56=0 are x= 7/2 ,x=-8/3
Find the zeros of 6x^2-5x-56=0
The zeros of 6x^2-5x-56=0 are x= 7/2 ,x=-8/3