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

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 3 0 ^{2} - 4 \cdot 9 \cdot 25}{2 \cdot 9}

3 0^{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}

(6 x - 1) (6 x + 1) - 4 x (9 x + 2) = - 1

x^{2} + 0 x - 36

(- 3)^{2} - 3

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

n^{2} - 6 n - 3 = 0

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