What are the solutions to the equation 220+11x-11x^2=11x^2-55x ?

The solutions to the equation 220+11x-11x^2=11x^2-55x are x=-2,x=5

Find the zeros of 220+11x-11x^2=11x^2-55x

The zeros of 220+11x-11x^2=11x^2-55x are x=-2,x=5

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220 + 11 x - 11 x^{2} = 11 x^{2} - 55 x

x = - 2, x = 5

Solution steps

220 + 11 x - 11 x^{2} = 11 x^{2} - 55 x

Move

55 x

to the left side

- 11 x^{2} + 66 x + 220 = 11 x^{2}

Move

11 x^{2}

to the left side

- 22 x^{2} + 66 x + 220 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 66 \pm 6 6 ^{2} - 4 ( - 22 ) \cdot 220}{2 ( - 22 )}

6 6^{2} - 4 (- 22) \cdot 220 = 154

x_{1, 2} = \frac{- 66 \pm 154}{2 ( - 22 )}

Separate the solutions

x_{1} = \frac{- 66 + 154}{2 ( - 22 )}, x_{2} = \frac{- 66 - 154}{2 ( - 22 )}

x = \frac{- 66 + 154}{2 ( - 22 )} : - 2

x = \frac{- 66 - 154}{2 ( - 22 )} : 5

The solutions to the quadratic equation are:

x = - 2, x = 5

8 x^{2} + 4 x + 2 = 0

0 = 12 x^{2} - 24 x + 9

x^{2} + 7 x - 14 = 0

2 x^{2} - 7 x + 2

8^{2} + 1 5^{2} = r^{2}

What are the solutions to the equation 220+11x-11x^2=11x^2-55x ?
The solutions to the equation 220+11x-11x^2=11x^2-55x are x=-2,x=5
Find the zeros of 220+11x-11x^2=11x^2-55x
The zeros of 220+11x-11x^2=11x^2-55x are x=-2,x=5