What are the solutions to the equation 13x-2x^2=0 ?

The solutions to the equation 13x-2x^2=0 are x=0,x= 13/2

Find the zeros of 13x-2x^2=0

The zeros of 13x-2x^2=0 are x=0,x= 13/2

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13 x - 2 x^{2} = 0

x = 0, x = \frac{13}{2}

Decimal Notation

x = 0, x = 6.5

Solution steps

13 x - 2 x^{2} = 0

Write in the standard form

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

- 2 x^{2} + 13 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 ( - 2 ) \cdot 0}{2 ( - 2 )}

1 3^{2} - 4 (- 2) \cdot 0 = 13

x_{1, 2} = \frac{- 13 \pm 13}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- 13 + 13}{2 ( - 2 )}, x_{2} = \frac{- 13 - 13}{2 ( - 2 )}

x = \frac{- 13 + 13}{2 ( - 2 )} : 0

x = \frac{- 13 - 13}{2 ( - 2 )} : \frac{13}{2}

The solutions to the quadratic equation are:

x = 0, x = \frac{13}{2}

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

x^{2} + 24 = - 10 x

12 x - 6 x^{2} = 0

- x^{2} + 8 x + 15 = 0

5 x^{2} + 7 x - 9 = 0

What are the solutions to the equation 13x-2x^2=0 ?
The solutions to the equation 13x-2x^2=0 are x=0,x= 13/2
Find the zeros of 13x-2x^2=0
The zeros of 13x-2x^2=0 are x=0,x= 13/2