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

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

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

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

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9 y^{2} + 25 = 30 y

y = \frac{5}{3}

Decimal Notation

y = 1.66666 \dots

Solution steps

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}

x^{2} - 5 x + 25 = 4

x^{2} + 6 x - 3 = 12

3 m^{2} + 21 m - 8 = 0

4 x^{2} - 41 x = 73

0 = 3 x^{2} - 5 x - 5

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