What are the solutions to the equation 5y^2-6=13y ?

The solutions to the equation 5y^2-6=13y are y=3,y=-2/5

Find the zeros of 5y^2-6=13y

The zeros of 5y^2-6=13y are y=3,y=-2/5

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5 y^{2} - 6 = 13 y

y = 3, y = - \frac{2}{5}

Decimal Notation

y = 3, y = - 0.4

Solution steps

5 y^{2} - 6 = 13 y

Move

13 y

to the left side

5 y^{2} - 6 - 13 y = 0

Write in the standard form

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

5 y^{2} - 13 y - 6 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

(- 13)^{2} - 4 \cdot 5 (- 6) = 17

y_{1, 2} = \frac{- ( - 13 ) \pm 17}{2 \cdot 5}

Separate the solutions

y_{1} = \frac{- ( - 13 ) + 17}{2 \cdot 5}, y_{2} = \frac{- ( - 13 ) - 17}{2 \cdot 5}

y = \frac{- ( - 13 ) + 17}{2 \cdot 5} : 3

y = \frac{- ( - 13 ) - 17}{2 \cdot 5} : - \frac{2}{5}

The solutions to the quadratic equation are:

y = 3, y = - \frac{2}{5}

x^{2} + x + 19 = 0

23 + p = 18

\frac{49}{64}

3 = 0.013 x^{2} - 1.18 x + 28.24

What are the solutions to the equation 5y^2-6=13y ?
The solutions to the equation 5y^2-6=13y are y=3,y=-2/5
Find the zeros of 5y^2-6=13y
The zeros of 5y^2-6=13y are y=3,y=-2/5