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

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

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

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

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30 v - 25 = 9 v^{2}

v = \frac{5}{3}

Decimal Notation

v = 1.66666 \dots

Solution steps

30 v - 25 = 9 v^{2}

Switch sides

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}

2^{k} + 2^{k - 1}

2 (z - 1) + 3 = 17

2 (x + 3) > - 16

23

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

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