What are the solutions to the equation 2730=-0.4x^2+68x ?

The solutions to the equation 2730=-0.4x^2+68x are x=65,x=105

Find the zeros of 2730=-0.4x^2+68x

The zeros of 2730=-0.4x^2+68x are x=65,x=105

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2730 = - 0.4 x^{2} + 68 x

x = 65, x = 105

Solution steps

2730 = - 0.4 x^{2} + 68 x

Multiply both sides by

10

27300 = - 4 x^{2} + 680 x

Switch sides

- 4 x^{2} + 680 x = 27300

Move

27300

to the left side

- 4 x^{2} + 680 x - 27300 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 680 \pm 68 0 ^{2} - 4 ( - 4 ) ( - 27300 )}{2 ( - 4 )}

68 0^{2} - 4 (- 4) (- 27300) = 160

x_{1, 2} = \frac{- 680 \pm 160}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- 680 + 160}{2 ( - 4 )}, x_{2} = \frac{- 680 - 160}{2 ( - 4 )}

x = \frac{- 680 + 160}{2 ( - 4 )} : 65

x = \frac{- 680 - 160}{2 ( - 4 )} : 105

The solutions to the quadratic equation are:

x = 65, x = 105

x, 2 x^{2} - x y - y^{2} = 0

7 s^{2} - 21 s = - 14

x, 3 x^{2} + 12 x + 6 = 0

3 x^{2} - 11 x + 2 = 0

(x - 2)^{2} + (x + 1)^{2} = 9

What are the solutions to the equation 2730=-0.4x^2+68x ?
The solutions to the equation 2730=-0.4x^2+68x are x=65,x=105
Find the zeros of 2730=-0.4x^2+68x
The zeros of 2730=-0.4x^2+68x are x=65,x=105