What are the solutions to the equation 6x^2-17x-54=2x^2-11x ?

The solutions to the equation 6x^2-17x-54=2x^2-11x are x= 9/2 ,x=-3

Find the zeros of 6x^2-17x-54=2x^2-11x

The zeros of 6x^2-17x-54=2x^2-11x are x= 9/2 ,x=-3

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6 x^{2} - 17 x - 54 = 2 x^{2} - 11 x

x = \frac{9}{2}, x = - 3

Decimal Notation

x = 4.5, x = - 3

Solution steps

6 x^{2} - 17 x - 54 = 2 x^{2} - 11 x

Move

11 x

to the left side

6 x^{2} - 6 x - 54 = 2 x^{2}

Move

2 x^{2}

to the left side

4 x^{2} - 6 x - 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 4 ( - 54 )}{2 \cdot 4}

(- 6)^{2} - 4 \cdot 4 (- 54) = 30

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

Separate the solutions

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

x = \frac{- ( - 6 ) + 30}{2 \cdot 4} : \frac{9}{2}

x = \frac{- ( - 6 ) - 30}{2 \cdot 4} : - 3

The solutions to the quadratic equation are:

x = \frac{9}{2}, x = - 3

x^{2} + 3 x - 35 = 3 x + 1

- 4 n^{2} - 3 n - 6 = 0

x, 9 x^{2} - 5 x y + 7 y^{2} = 120

5 y^{2} - 30 y = 0

x, f^{- 1} (x) = x^{2}

What are the solutions to the equation 6x^2-17x-54=2x^2-11x ?
The solutions to the equation 6x^2-17x-54=2x^2-11x are x= 9/2 ,x=-3
Find the zeros of 6x^2-17x-54=2x^2-11x
The zeros of 6x^2-17x-54=2x^2-11x are x= 9/2 ,x=-3