What are the solutions to the equation 6x^2-35=-11x ?

The solutions to the equation 6x^2-35=-11x are x= 5/3 ,x=-7/2

Find the zeros of 6x^2-35=-11x

The zeros of 6x^2-35=-11x are x= 5/3 ,x=-7/2

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6 x^{2} - 35 = - 11 x

x = \frac{5}{3}, x = - \frac{7}{2}

Decimal Notation

x = 1.66666 \dots, x = - 3.5

Solution steps

6 x^{2} - 35 = - 11 x

Move

11 x

to the left side

6 x^{2} - 35 + 11 x = 0

Write in the standard form

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

6 x^{2} + 11 x - 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 6 ( - 35 )}{2 \cdot 6}

1 1^{2} - 4 \cdot 6 (- 35) = 31

x_{1, 2} = \frac{- 11 \pm 31}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 11 + 31}{2 \cdot 6}, x_{2} = \frac{- 11 - 31}{2 \cdot 6}

x = \frac{- 11 + 31}{2 \cdot 6} : \frac{5}{3}

x = \frac{- 11 - 31}{2 \cdot 6} : - \frac{7}{2}

The solutions to the quadratic equation are:

x = \frac{5}{3}, x = - \frac{7}{2}

2 x^{2} + 7 x - 5 = 0

x, x^{2} - y - 1 = C

x, 4 x^{2} + 8 x = 21

8 (x^{2} - x) = - 2

36 y^{2} + 24 - 85 = 0

What are the solutions to the equation 6x^2-35=-11x ?
The solutions to the equation 6x^2-35=-11x are x= 5/3 ,x=-7/2
Find the zeros of 6x^2-35=-11x
The zeros of 6x^2-35=-11x are x= 5/3 ,x=-7/2