What are the solutions to the equation 5x^2=60-20x ?

The solutions to the equation 5x^2=60-20x are x=2,x=-6

Find the zeros of 5x^2=60-20x

The zeros of 5x^2=60-20x are x=2,x=-6

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5 x^{2} = 60 - 20 x

x = 2, x = - 6

Solution steps

5 x^{2} = 60 - 20 x

Move

20 x

to the left side

5 x^{2} + 20 x = 60

Move

60

to the left side

5 x^{2} + 20 x - 60 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 5 ( - 60 )}{2 \cdot 5}

2 0^{2} - 4 \cdot 5 (- 60) = 40

x_{1, 2} = \frac{- 20 \pm 40}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 20 + 40}{2 \cdot 5}, x_{2} = \frac{- 20 - 40}{2 \cdot 5}

x = \frac{- 20 + 40}{2 \cdot 5} : 2

x = \frac{- 20 - 40}{2 \cdot 5} : - 6

The solutions to the quadratic equation are:

x = 2, x = - 6

z^{4} = 289

1157

12 - 11 x - x^{2}

x^{2} - x + 1 < 0

(x - 4) (- 5 x + 1) = 0

What are the solutions to the equation 5x^2=60-20x ?
The solutions to the equation 5x^2=60-20x are x=2,x=-6
Find the zeros of 5x^2=60-20x
The zeros of 5x^2=60-20x are x=2,x=-6