What are the solutions to the equation (x^2)/(15)-x/5-2/3 =0 ?

The solutions to the equation (x^2)/(15)-x/5-2/3 =0 are x=5,x=-2

Find the zeros of (x^2)/(15)-x/5-2/3 =0

The zeros of (x^2)/(15)-x/5-2/3 =0 are x=5,x=-2

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\frac{x ^{2}}{15} - \frac{x}{5} - \frac{2}{3} = 0

x = 5, x = - 2

Solution steps

\frac{x ^{2}}{15} - \frac{x}{5} - \frac{2}{3} = 0

Find Least Common Multiplier of

15, 5, 3 : 15

Multiply by LCM=

15

\frac{x ^{2}}{15} \cdot 15 - \frac{x}{5} \cdot 15 - \frac{2}{3} \cdot 15 = 0 \cdot 15

Simplify

x^{2} - 3 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 10) = 7

x_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 7}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 7}{2 \cdot 1}

x = \frac{- ( - 3 ) + 7}{2 \cdot 1} : 5

x = \frac{- ( - 3 ) - 7}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 5, x = - 2

\frac{3}{5} x^{2} + 3 x + 1 = - 2 - 3 x

(x - 2) (x + 2) = 0

x^{2} + 3 x + 8 = - 3 x + 3 - 3 x + 3

x, x^{2} + y^{2} + z^{2} - 2 x + 6 y - 4 z - 11 = 0

968 - 6 x^{2} = 0

What are the solutions to the equation (x^2)/(15)-x/5-2/3 =0 ?
The solutions to the equation (x^2)/(15)-x/5-2/3 =0 are x=5,x=-2
Find the zeros of (x^2)/(15)-x/5-2/3 =0
The zeros of (x^2)/(15)-x/5-2/3 =0 are x=5,x=-2