What are the solutions to the equation 1/10 y^2=-y-5/2 ?

The solutions to the equation 1/10 y^2=-y-5/2 are y=-5

Find the zeros of 1/10 y^2=-y-5/2

The zeros of 1/10 y^2=-y-5/2 are y=-5

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\frac{1}{10} y^{2} = - y - \frac{5}{2}

y = - 5

Solution steps

\frac{1}{10} y^{2} = - y - \frac{5}{2}

Find Least Common Multiplier of

10, 2 : 10

Multiply by LCM=

10

\frac{1}{10} y^{2} \cdot 10 = - y \cdot 10 - \frac{5}{2} \cdot 10

Simplify

y^{2} = - 10 y - 25

Move

25

to the left side

y^{2} + 25 = - 10 y

Move

10 y

to the left side

y^{2} + 25 + 10 y = 0

Write in the standard form

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

y^{2} + 10 y + 25 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 25}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 25 = 0

y_{1, 2} = \frac{- 10 \pm 0}{2 \cdot 1}

y = \frac{- 10}{2 \cdot 1}

\frac{- 10}{2 \cdot 1} = - 5

y = - 5

The solution to the quadratic equation is:

y = - 5

- 6 x^{2} + 8 x + 4 = 0

5 = x^{2} + 4

x^{2} - 16 x + 71 = 0

- 3 t^{2} + 4 t + 40 = - t + 15

a^{2} + (\frac{5 3}{2} + a)^{2} = 5^{2}

What are the solutions to the equation 1/10 y^2=-y-5/2 ?
The solutions to the equation 1/10 y^2=-y-5/2 are y=-5
Find the zeros of 1/10 y^2=-y-5/2
The zeros of 1/10 y^2=-y-5/2 are y=-5