What are the solutions to the equation 6x^2+9=-55x ?

The solutions to the equation 6x^2+9=-55x are x=-1/6 ,x=-9

Find the zeros of 6x^2+9=-55x

The zeros of 6x^2+9=-55x are x=-1/6 ,x=-9

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6 x^{2} + 9 = - 55 x

x = - \frac{1}{6}, x = - 9

Solution steps

6 x^{2} + 9 = - 55 x

Move

55 x

to the left side

6 x^{2} + 9 + 55 x = 0

Write in the standard form

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

6 x^{2} + 55 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 55 \pm 5 5 ^{2} - 4 \cdot 6 \cdot 9}{2 \cdot 6}

5 5^{2} - 4 \cdot 6 \cdot 9 = 53

x_{1, 2} = \frac{- 55 \pm 53}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 55 + 53}{2 \cdot 6}, x_{2} = \frac{- 55 - 53}{2 \cdot 6}

x = \frac{- 55 + 53}{2 \cdot 6} : - \frac{1}{6}

x = \frac{- 55 - 53}{2 \cdot 6} : - 9

The solutions to the quadratic equation are:

x = - \frac{1}{6}, x = - 9

7 = (x - 4)^{2} + 3

3 0^{2} + 1 6^{2} = c^{2}

2 z^{2} - 50 = 100

y^{2} + 6 = 0

7 x^{2} + 4 x = 1

What are the solutions to the equation 6x^2+9=-55x ?
The solutions to the equation 6x^2+9=-55x are x=-1/6 ,x=-9
Find the zeros of 6x^2+9=-55x
The zeros of 6x^2+9=-55x are x=-1/6 ,x=-9