What are the solutions to the equation -5x^2+24.5x=0 ?

The solutions to the equation -5x^2+24.5x=0 are x=0,x=4.9

Find the zeros of -5x^2+24.5x=0

The zeros of -5x^2+24.5x=0 are x=0,x=4.9

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- 5 x^{2} + 24.5 x = 0

x = 0, x = 4.9

Solution steps

- 5 x^{2} + 24.5 x = 0

Factor

- 5 x^{2} + 24.5 x : - x (5 x - 24.5)

- x (5 x - 24.5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x - 24.5 = 0

Solve

5 x - 24.5 = 0 : x = 4.9

The solutions to the quadratic equation are:

x = 0, x = 4.9

2 x (x + 2) = 1

r^{2} - 2 r - 24 = 0

9 x^{2} + 42 x + 53 = 0

(x + 5) (x + 9) = 0

(x + 3) (x - 2) = 6

What are the solutions to the equation -5x^2+24.5x=0 ?
The solutions to the equation -5x^2+24.5x=0 are x=0,x=4.9
Find the zeros of -5x^2+24.5x=0
The zeros of -5x^2+24.5x=0 are x=0,x=4.9