What are the solutions to the equation 6x^2=7-11x ?

The solutions to the equation 6x^2=7-11x are x= 1/2 ,x=-7/3

Find the zeros of 6x^2=7-11x

The zeros of 6x^2=7-11x are x= 1/2 ,x=-7/3

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6 x^{2} = 7 - 11 x

x = \frac{1}{2}, x = - \frac{7}{3}

Decimal Notation

x = 0.5, x = - 2.33333 \dots

Solution steps

6 x^{2} = 7 - 11 x

Move

11 x

to the left side

6 x^{2} + 11 x = 7

Move

7

to the left side

6 x^{2} + 11 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 6 ( - 7 )}{2 \cdot 6}

1 1^{2} - 4 \cdot 6 (- 7) = 17

x_{1, 2} = \frac{- 11 \pm 17}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 11 + 17}{2 \cdot 6}, x_{2} = \frac{- 11 - 17}{2 \cdot 6}

x = \frac{- 11 + 17}{2 \cdot 6} : \frac{1}{2}

x = \frac{- 11 - 17}{2 \cdot 6} : - \frac{7}{3}

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - \frac{7}{3}

(y + 5)^{2} - 25 = 0

(r + 7)^{2} + 9 = 0

9 y^{2} + 12 y = 0

3 x^{2} + 14 x = - 11

(11 - x) (6 + x) = 2 (x - 2)^{2}

What are the solutions to the equation 6x^2=7-11x ?
The solutions to the equation 6x^2=7-11x are x= 1/2 ,x=-7/3
Find the zeros of 6x^2=7-11x
The zeros of 6x^2=7-11x are x= 1/2 ,x=-7/3