What are the solutions to the equation 6x^2+6x-36=84 ?

The solutions to the equation 6x^2+6x-36=84 are x=4,x=-5

Find the zeros of 6x^2+6x-36=84

The zeros of 6x^2+6x-36=84 are x=4,x=-5

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6 x^{2} + 6 x - 36 = 84

x = 4, x = - 5

Solution steps

6 x^{2} + 6 x - 36 = 84

Move

84

to the left side

6 x^{2} + 6 x - 120 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 6 ( - 120 )}{2 \cdot 6}

6^{2} - 4 \cdot 6 (- 120) = 54

x_{1, 2} = \frac{- 6 \pm 54}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 6 + 54}{2 \cdot 6}, x_{2} = \frac{- 6 - 54}{2 \cdot 6}

x = \frac{- 6 + 54}{2 \cdot 6} : 4

x = \frac{- 6 - 54}{2 \cdot 6} : - 5

The solutions to the quadratic equation are:

x = 4, x = - 5

\frac{( k ! ) ^{2}}{( ( k + 1 ) ! ) ^{2}}

x^{2} = 22 + 10 x

2 \cdot 2 x^{\frac{5}{4}} - 2 x^{\frac{1}{4}}

x^{2} - 6 x + 8 \geq 0

What are the solutions to the equation 6x^2+6x-36=84 ?
The solutions to the equation 6x^2+6x-36=84 are x=4,x=-5
Find the zeros of 6x^2+6x-36=84
The zeros of 6x^2+6x-36=84 are x=4,x=-5