What are the solutions to the equation 6x^2-30x-36=56 ?

The solutions to the equation 6x^2-30x-36=56 are x=(15+sqrt(777))/6 ,x=(15-sqrt(777))/6

Find the zeros of 6x^2-30x-36=56

The zeros of 6x^2-30x-36=56 are x=(15+sqrt(777))/6 ,x=(15-sqrt(777))/6

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6 x^{2} - 30 x - 36 = 56

x = \frac{15 + 777}{6}, x = \frac{15 - 777}{6}

Decimal Notation

x = 7.14578 \dots, x = - 2.14578 \dots

Solution steps

6 x^{2} - 30 x - 36 = 56

Move

56

to the left side

6 x^{2} - 30 x - 92 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 6 ( - 92 )}{2 \cdot 6}

(- 30)^{2} - 4 \cdot 6 (- 92) = 2777

x_{1, 2} = \frac{- ( - 30 ) \pm 2 777}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 2 777}{2 \cdot 6}, x_{2} = \frac{- ( - 30 ) - 2 777}{2 \cdot 6}

x = \frac{- ( - 30 ) + 2 777}{2 \cdot 6} : \frac{15 + 777}{6}

x = \frac{- ( - 30 ) - 2 777}{2 \cdot 6} : \frac{15 - 777}{6}

The solutions to the quadratic equation are:

x = \frac{15 + 777}{6}, x = \frac{15 - 777}{6}

x, y = 2 (x - \frac{5}{4})^{2} - \frac{49}{8}

x^{2} + \frac{1}{2} x + \frac{1}{16} = \frac{4}{9}

12 x^{2} - 15 x + 4 = 0

x^{2} + 2.8 x = 23.04

(9 + 2 x) (4 + 2 x) = 84

What are the solutions to the equation 6x^2-30x-36=56 ?
The solutions to the equation 6x^2-30x-36=56 are x=(15+sqrt(777))/6 ,x=(15-sqrt(777))/6
Find the zeros of 6x^2-30x-36=56
The zeros of 6x^2-30x-36=56 are x=(15+sqrt(777))/6 ,x=(15-sqrt(777))/6