What are the solutions to the equation 0=-25/36 x^2+16 2/3 x ?

The solutions to the equation 0=-25/36 x^2+16 2/3 x are x=0,x=24

Find the zeros of 0=-25/36 x^2+16 2/3 x

The zeros of 0=-25/36 x^2+16 2/3 x are x=0,x=24

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0 = - \frac{25}{36} x^{2} + 16 \frac{2}{3} x

x = 0, x = 24

Solution steps

0 = - \frac{25}{36} x^{2} + 16 \frac{2}{3} x

Convert mixed numbers to improper fractions:

16 \frac{2}{3} = \frac{50}{3}

0 = - \frac{25}{36} x^{2} + \frac{50}{3} x

Find Least Common Multiplier of

36, 3 : 36

Multiply by LCM=

36

0 \cdot 36 = - \frac{25}{36} x^{2} \cdot 36 + \frac{50}{3} x \cdot 36

Simplify

0 = - 25 x^{2} + 600 x

Switch sides

- 25 x^{2} + 600 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 600 \pm 60 0 ^{2} - 4 ( - 25 ) \cdot 0}{2 ( - 25 )}

60 0^{2} - 4 (- 25) \cdot 0 = 600

x_{1, 2} = \frac{- 600 \pm 600}{2 ( - 25 )}

Separate the solutions

x_{1} = \frac{- 600 + 600}{2 ( - 25 )}, x_{2} = \frac{- 600 - 600}{2 ( - 25 )}

x = \frac{- 600 + 600}{2 ( - 25 )} : 0

x = \frac{- 600 - 600}{2 ( - 25 )} : 24

The solutions to the quadratic equation are:

x = 0, x = 24

x^{2} - 16 x + 13 = - 10 x

x^{2} - 21 x + 81 = 0

q^{2} - 350 q + 25000 = 0

6 x^{2} - 13 + 6 = 0

x^{2} + 12 x + 37

What are the solutions to the equation 0=-25/36 x^2+16 2/3 x ?
The solutions to the equation 0=-25/36 x^2+16 2/3 x are x=0,x=24
Find the zeros of 0=-25/36 x^2+16 2/3 x
The zeros of 0=-25/36 x^2+16 2/3 x are x=0,x=24