What are the solutions to the equation -0.5x^2+620=30x+270 ?

The solutions to the equation -0.5x^2+620=30x+270 are x=-70,x=10

Find the zeros of -0.5x^2+620=30x+270

The zeros of -0.5x^2+620=30x+270 are x=-70,x=10

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- 0.5 x^{2} + 620 = 30 x + 270

x = - 70, x = 10

Solution steps

- 0.5 x^{2} + 620 = 30 x + 270

Multiply both sides by

10

- 5 x^{2} + 6200 = 300 x + 2700

Move

2700

to the left side

- 5 x^{2} + 3500 = 300 x

Move

300 x

to the left side

- 5 x^{2} + 3500 - 300 x = 0

Write in the standard form

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

- 5 x^{2} - 300 x + 3500 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 300 ) \pm ( - 300 ) ^{2} - 4 ( - 5 ) \cdot 3500}{2 ( - 5 )}

(- 300)^{2} - 4 (- 5) \cdot 3500 = 400

x_{1, 2} = \frac{- ( - 300 ) \pm 400}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 300 ) + 400}{2 ( - 5 )}, x_{2} = \frac{- ( - 300 ) - 400}{2 ( - 5 )}

x = \frac{- ( - 300 ) + 400}{2 ( - 5 )} : - 70

x = \frac{- ( - 300 ) - 400}{2 ( - 5 )} : 10

The solutions to the quadratic equation are:

x = - 70, x = 10

4 x^{2} + 14 x - 3 = 3 x

8 x^{2} + 9 x - 4 = 0

20 x + 100 = 400 - x^{2}

- 4 x^{2} + 8 x + 12 = 0

4 p^{2} + p - 6 = 0

What are the solutions to the equation -0.5x^2+620=30x+270 ?
The solutions to the equation -0.5x^2+620=30x+270 are x=-70,x=10
Find the zeros of -0.5x^2+620=30x+270
The zeros of -0.5x^2+620=30x+270 are x=-70,x=10