What are the solutions to the equation 5x^2-2=-9x ?

The solutions to the equation 5x^2-2=-9x are x= 1/5 ,x=-2

Find the zeros of 5x^2-2=-9x

The zeros of 5x^2-2=-9x are x= 1/5 ,x=-2

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5 x^{2} - 2 = - 9 x

x = \frac{1}{5}, x = - 2

Solution steps

5 x^{2} - 2 = - 9 x

Move

9 x

to the left side

5 x^{2} - 2 + 9 x = 0

Write in the standard form

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

5 x^{2} + 9 x - 2 = 0

Solve with the quadratic formula

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

9^{2} - 4 \cdot 5 (- 2) = 11

x_{1, 2} = \frac{- 9 \pm 11}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 9 + 11}{2 \cdot 5}, x_{2} = \frac{- 9 - 11}{2 \cdot 5}

x = \frac{- 9 + 11}{2 \cdot 5} : \frac{1}{5}

x = \frac{- 9 - 11}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

x = \frac{1}{5}, x = - 2

x^{2} + 70 = 17 x

t (t) = 25 - 2 t

2 + 3 (2 x + 1) (2 x - 1) = 3

10 - 4 x - x^{2}

x^{2} - 4 x - 20 = - 5 x

What are the solutions to the equation 5x^2-2=-9x ?
The solutions to the equation 5x^2-2=-9x are x= 1/5 ,x=-2
Find the zeros of 5x^2-2=-9x
The zeros of 5x^2-2=-9x are x= 1/5 ,x=-2