What are the solutions to the equation 5-11x^2=-8x ?

The solutions to the equation 5-11x^2=-8x are x=-(-4+sqrt(71))/(11),x=(4+sqrt(71))/(11)

Find the zeros of 5-11x^2=-8x

The zeros of 5-11x^2=-8x are x=-(-4+sqrt(71))/(11),x=(4+sqrt(71))/(11)

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5 - 11 x^{2} = - 8 x

x = - \frac{- 4 + 71}{11}, x = \frac{4 + 71}{11}

Decimal Notation

x = - 0.40237 \dots, x = 1.12964 \dots

Solution steps

5 - 11 x^{2} = - 8 x

Move

8 x

to the left side

5 - 11 x^{2} + 8 x = 0

Write in the standard form

a x^{2} + b x + c = 0

- 11 x^{2} + 8 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 ( - 11 ) \cdot 5}{2 ( - 11 )}

8^{2} - 4 (- 11) \cdot 5 = 271

x_{1, 2} = \frac{- 8 \pm 2 71}{2 ( - 11 )}

Separate the solutions

x_{1} = \frac{- 8 + 2 71}{2 ( - 11 )}, x_{2} = \frac{- 8 - 2 71}{2 ( - 11 )}

x = \frac{- 8 + 2 71}{2 ( - 11 )} : - \frac{- 4 + 71}{11}

x = \frac{- 8 - 2 71}{2 ( - 11 )} : \frac{4 + 71}{11}

The solutions to the quadratic equation are:

x = - \frac{- 4 + 71}{11}, x = \frac{4 + 71}{11}

3 x^{2} - 8 x = 8

4.69742 x^{2} + 53.20224 x - 4738.618 = 0

4 X^{2} - 5 X - 6 = 0

6 x^{2} - 67 x - 100 = 0

x^{2} - 5 x + (- 25) = 4

What are the solutions to the equation 5-11x^2=-8x ?
The solutions to the equation 5-11x^2=-8x are x=-(-4+sqrt(71))/(11),x=(4+sqrt(71))/(11)
Find the zeros of 5-11x^2=-8x
The zeros of 5-11x^2=-8x are x=-(-4+sqrt(71))/(11),x=(4+sqrt(71))/(11)