What are the solutions to the equation 5/6 x-2/9 x^2=0 ?

The solutions to the equation 5/6 x-2/9 x^2=0 are x=0,x= 15/4

Find the zeros of 5/6 x-2/9 x^2=0

The zeros of 5/6 x-2/9 x^2=0 are x=0,x= 15/4

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\frac{5}{6} x - \frac{2}{9} x^{2} = 0

x = 0, x = \frac{15}{4}

Decimal Notation

x = 0, x = 3.75

Solution steps

\frac{5}{6} x - \frac{2}{9} x^{2} = 0

Find Least Common Multiplier of

6, 9 : 18

Multiply by LCM=

18

\frac{5}{6} x \cdot 18 - \frac{2}{9} x^{2} \cdot 18 = 0 \cdot 18

Simplify

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 ( - 4 ) \cdot 0}{2 ( - 4 )}

1 5^{2} - 4 (- 4) \cdot 0 = 15

x_{1, 2} = \frac{- 15 \pm 15}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- 15 + 15}{2 ( - 4 )}, x_{2} = \frac{- 15 - 15}{2 ( - 4 )}

x = \frac{- 15 + 15}{2 ( - 4 )} : 0

x = \frac{- 15 - 15}{2 ( - 4 )} : \frac{15}{4}

The solutions to the quadratic equation are:

x = 0, x = \frac{15}{4}

y^{2} - 72 = 0

3 x (x - 7) = 0

- 4 x^{2} - 42 x + 22 = 0

v^{2} + 3 v - 28 = 0

x^{2} - 13 x + 36 = 0

What are the solutions to the equation 5/6 x-2/9 x^2=0 ?
The solutions to the equation 5/6 x-2/9 x^2=0 are x=0,x= 15/4
Find the zeros of 5/6 x-2/9 x^2=0
The zeros of 5/6 x-2/9 x^2=0 are x=0,x= 15/4