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

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

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

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

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9 u^{2} = 30 u - 25

u = \frac{5}{3}

Decimal Notation

u = 1.66666 \dots

Solution steps

9 u^{2} = 30 u - 25

Move

25

to the left side

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}

x (6 x + 3) = 0

2 x^{2} + 5 x - 8 = \frac{5}{2} x + 20

x^{2} - 28 x + 16 = 0

9 x^{(2)} - 6 x - 11 = 0

x^{2} - 6 x + 5 = 117

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