What are the solutions to the equation 3u^2=30u-6 ?

The solutions to the equation 3u^2=30u-6 are u=5+sqrt(23),u=5-sqrt(23)

Find the zeros of 3u^2=30u-6

The zeros of 3u^2=30u-6 are u=5+sqrt(23),u=5-sqrt(23)

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3 u^{2} = 30 u - 6

u = 5 + 23, u = 5 - 23

Decimal

u = 9.79583 \dots, u = 0.20416 \dots

Solution steps

3 u^{2} = 30 u - 6

Move

6

to the left side

3 u^{2} + 6 = 30 u

Move

30 u

to the left side

3 u^{2} + 6 - 30 u = 0

Write in the standard form

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

3 u^{2} - 30 u + 6 = 0

Solve with the quadratic formula

u_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

(- 30)^{2} - 4 \cdot 3 \cdot 6 = 623

u_{1, 2} = \frac{- ( - 30 ) \pm 6 23}{2 \cdot 3}

Separate the solutions

u_{1} = \frac{- ( - 30 ) + 6 23}{2 \cdot 3}, u_{2} = \frac{- ( - 30 ) - 6 23}{2 \cdot 3}

u = \frac{- ( - 30 ) + 6 23}{2 \cdot 3} : 5 + 23

u = \frac{- ( - 30 ) - 6 23}{2 \cdot 3} : 5 - 23

The solutions to the quadratic equation are:

u = 5 + 23, u = 5 - 23

5^{2} + 1 2^{2} = 2 x^{2}

8 s^{2} - 7 s + 6 = 0

x^{2} - 4 x - 14 = 0

t, M (t) = - 2 t^{2} + 100 t + 180

0.937058 x^{2} - 2.125884 x + 0.937058 = 0

What are the solutions to the equation 3u^2=30u-6 ?
The solutions to the equation 3u^2=30u-6 are u=5+sqrt(23),u=5-sqrt(23)
Find the zeros of 3u^2=30u-6
The zeros of 3u^2=30u-6 are u=5+sqrt(23),u=5-sqrt(23)