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

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

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

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

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30 u = 9 u^{2} + 25

u = \frac{5}{3}

Decimal Notation

u = 1.66666 \dots

Solution steps

30 u = 9 u^{2} + 25

Switch sides

9 u^{2} + 25 = 30 u

Move

30 u

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

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

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

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

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

u = \frac{5}{3}

The solution to the quadratic equation is:

u = \frac{5}{3}

3^{2} + x^{2} = 13^{2}

x^{2} - 15 x = 0

x^{2} - 2 x + 0.5 = 0

e x = e x^{2} - 6

x^{2} + 12 x = 6

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