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

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

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

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

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

u = - \frac{5}{3}

Decimal Notation

u = - 1.66666 \dots

Solution steps

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}

x^{2} + 5 x + \frac{9}{4}

5 y^{2} + 7 y - 1 = 0

x, x^{2} + y^{2} + z^{2} = 16

2 x^{2} - 3 x - 15 = - 4 x

9 x = - x^{2} - 18

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