What are the solutions to the equation 6x^2-8x-30=0 ?

The solutions to the equation 6x^2-8x-30=0 are x=3,x=-5/3

Find the zeros of 6x^2-8x-30=0

The zeros of 6x^2-8x-30=0 are x=3,x=-5/3

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6 x^{2} - 8 x - 30 = 0

x = 3, x = - \frac{5}{3}

Decimal Notation

x = 3, x = - 1.66666 \dots

Solution steps

6 x^{2} - 8 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 6 ( - 30 )}{2 \cdot 6}

(- 8)^{2} - 4 \cdot 6 (- 30) = 28

x_{1, 2} = \frac{- ( - 8 ) \pm 28}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 28}{2 \cdot 6}, x_{2} = \frac{- ( - 8 ) - 28}{2 \cdot 6}

x = \frac{- ( - 8 ) + 28}{2 \cdot 6} : 3

x = \frac{- ( - 8 ) - 28}{2 \cdot 6} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = 3, x = - \frac{5}{3}

- 7 x + x^{2} = - 3 x^{2} + 6

\frac{1}{4} x^{2} + 3 x = x - 4

- x^{2} + 8 x + 1 = 0

x^{2} - x = 7

x^{2} + 12 x - 18 = 0

What are the solutions to the equation 6x^2-8x-30=0 ?
The solutions to the equation 6x^2-8x-30=0 are x=3,x=-5/3
Find the zeros of 6x^2-8x-30=0
The zeros of 6x^2-8x-30=0 are x=3,x=-5/3