What are the solutions to the equation 0=-5t^2+30t+10 ?

The solutions to the equation 0=-5t^2+30t+10 are t=3-sqrt(11),t=3+sqrt(11)

Find the zeros of 0=-5t^2+30t+10

The zeros of 0=-5t^2+30t+10 are t=3-sqrt(11),t=3+sqrt(11)

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0 = - 5 t^{2} + 30 t + 10

t = 3 - 11, t = 3 + 11

Decimal Notation

t = - 0.31662 \dots, t = 6.31662 \dots

Solution steps

0 = - 5 t^{2} + 30 t + 10

Switch sides

- 5 t^{2} + 30 t + 10 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 ( - 5 ) \cdot 10}{2 ( - 5 )}

3 0^{2} - 4 (- 5) \cdot 10 = 1011

t_{1, 2} = \frac{- 30 \pm 10 11}{2 ( - 5 )}

Separate the solutions

t_{1} = \frac{- 30 + 10 11}{2 ( - 5 )}, t_{2} = \frac{- 30 - 10 11}{2 ( - 5 )}

t = \frac{- 30 + 10 11}{2 ( - 5 )} : 3 - 11

t = \frac{- 30 - 10 11}{2 ( - 5 )} : 3 + 11

The solutions to the quadratic equation are:

t = 3 - 11, t = 3 + 11

x^{2} - 14 x - 5 = 0

72 = a \cdot 2 x^{2}

6 x - 5 = - x^{2}

- 3 x^{2} = - 108

x, x^{2} - 3 x + 10 = 0

What are the solutions to the equation 0=-5t^2+30t+10 ?
The solutions to the equation 0=-5t^2+30t+10 are t=3-sqrt(11),t=3+sqrt(11)
Find the zeros of 0=-5t^2+30t+10
The zeros of 0=-5t^2+30t+10 are t=3-sqrt(11),t=3+sqrt(11)