What are the solutions to the equation -16t^2+70t+5=30 ?

The solutions to the equation -16t^2+70t+5=30 are t=(5(7-sqrt(33)))/(16),t=(5(7+sqrt(33)))/(16)

Find the zeros of -16t^2+70t+5=30

The zeros of -16t^2+70t+5=30 are t=(5(7-sqrt(33)))/(16),t=(5(7+sqrt(33)))/(16)

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- 16 t^{2} + 70 t + 5 = 30

t = \frac{5 ( 7 - 33 )}{16}, t = \frac{5 ( 7 + 33 )}{16}

Decimal Notation

t = 0.39232 \dots, t = 3.98267 \dots

Solution steps

- 16 t^{2} + 70 t + 5 = 30

Move

30

to the left side

- 16 t^{2} + 70 t - 25 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 70 \pm 7 0 ^{2} - 4 ( - 16 ) ( - 25 )}{2 ( - 16 )}

7 0^{2} - 4 (- 16) (- 25) = 1033

t_{1, 2} = \frac{- 70 \pm 10 33}{2 ( - 16 )}

Separate the solutions

t_{1} = \frac{- 70 + 10 33}{2 ( - 16 )}, t_{2} = \frac{- 70 - 10 33}{2 ( - 16 )}

t = \frac{- 70 + 10 33}{2 ( - 16 )} : \frac{5 ( 7 - 33 )}{16}

t = \frac{- 70 - 10 33}{2 ( - 16 )} : \frac{5 ( 7 + 33 )}{16}

The solutions to the quadratic equation are:

t = \frac{5 ( 7 - 33 )}{16}, t = \frac{5 ( 7 + 33 )}{16}

3 x + 2 < - 7

\frac{2 π}{( \frac{1}{3} )}

\frac{8 x ^{3} y - 5}{4 x ^{- 1} y ^{2}}

\frac{2}{3} - \frac{8}{3}

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

What are the solutions to the equation -16t^2+70t+5=30 ?
The solutions to the equation -16t^2+70t+5=30 are t=(5(7-sqrt(33)))/(16),t=(5(7+sqrt(33)))/(16)
Find the zeros of -16t^2+70t+5=30
The zeros of -16t^2+70t+5=30 are t=(5(7-sqrt(33)))/(16),t=(5(7+sqrt(33)))/(16)