What are the solutions to the equation 30y-25=9y^2 ?

The solutions to the equation 30y-25=9y^2 are y= 5/3

Find the zeros of 30y-25=9y^2

The zeros of 30y-25=9y^2 are y= 5/3

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30 y - 25 = 9 y^{2}

y = \frac{5}{3}

Decimal Notation

y = 1.66666 \dots

Solution steps

30 y - 25 = 9 y^{2}

Switch sides

9 y^{2} = 30 y - 25

Move

25

to the left side

9 y^{2} + 25 = 30 y

Move

30 y

to the left side

9 y^{2} + 25 - 30 y = 0

Write in the standard form

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

9 y^{2} - 30 y + 25 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 9 \cdot 25}{2 \cdot 9}

(- 30)^{2} - 4 \cdot 9 \cdot 25 = 0

y_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 \cdot 9}

y = \frac{- ( - 30 )}{2 \cdot 9}

\frac{- ( - 30 )}{2 \cdot 9} = \frac{5}{3}

y = \frac{5}{3}

The solution to the quadratic equation is:

y = \frac{5}{3}

3 (x + 5) = 30

5 x = 10

\frac{4}{5} \cdot \frac{4}{5}

5 (y + 2) = 7 (y + 1) + 1

- 2 x^{2} + 7 x - 3 = 0

What are the solutions to the equation 30y-25=9y^2 ?
The solutions to the equation 30y-25=9y^2 are y= 5/3
Find the zeros of 30y-25=9y^2
The zeros of 30y-25=9y^2 are y= 5/3