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

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

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

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

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9 v^{2} = 30 v - 25

v = \frac{5}{3}

Decimal Notation

v = 1.66666 \dots

Solution steps

9 v^{2} = 30 v - 25

Move

25

to the left side

9 v^{2} + 25 = 30 v

Move

30 v

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

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

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

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

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

v = \frac{5}{3}

The solution to the quadratic equation is:

v = \frac{5}{3}

x, x^{2} + 3 y^{2} - 6 x + 15 y + 84 = 0

(x - 9)^{2} + (x - 8)^{2} = x^{2}

(2 x + 1)^{2} = x + 2

2 - 8 x + 2 x^{2} = 4 - 3 x^{2} - 3 x

4 x^{2} + 1 x - 5 = 0

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