What are the solutions to the equation t^2+2t-15=-3t ?

The solutions to the equation t^2+2t-15=-3t are t=(-5+sqrt(85))/2 ,t=(-5-sqrt(85))/2

Find the zeros of t^2+2t-15=-3t

The zeros of t^2+2t-15=-3t are t=(-5+sqrt(85))/2 ,t=(-5-sqrt(85))/2

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t^{2} + 2 t - 15 = - 3 t

t = \frac{- 5 + 85}{2}, t = \frac{- 5 - 85}{2}

Decimal

t = 2.10977 \dots, t = - 7.10977 \dots

Solution steps

t^{2} + 2 t - 15 = - 3 t

Move

3 t

to the left side

t^{2} + 5 t - 15 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 15 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 15) = 85

t_{1, 2} = \frac{- 5 \pm 85}{2 \cdot 1}

Separate the solutions

t_{1} = \frac{- 5 + 85}{2 \cdot 1}, t_{2} = \frac{- 5 - 85}{2 \cdot 1}

t = \frac{- 5 + 85}{2 \cdot 1} : \frac{- 5 + 85}{2}

t = \frac{- 5 - 85}{2 \cdot 1} : \frac{- 5 - 85}{2}

The solutions to the quadratic equation are:

t = \frac{- 5 + 85}{2}, t = \frac{- 5 - 85}{2}

x^{2} - 9 x + 18 = 0

- 6 a^{2} + 6 b^{2} + a x + 7 b x + 2 x^{2}

(x - 3)^{2} - 10 = 0

x^{2} - 12 x + c

220900 x^{2} - 4760 x + 16 = 0

What are the solutions to the equation t^2+2t-15=-3t ?
The solutions to the equation t^2+2t-15=-3t are t=(-5+sqrt(85))/2 ,t=(-5-sqrt(85))/2
Find the zeros of t^2+2t-15=-3t
The zeros of t^2+2t-15=-3t are t=(-5+sqrt(85))/2 ,t=(-5-sqrt(85))/2