What are the solutions to the equation t^2-30t-100=0 ?

The solutions to the equation t^2-30t-100=0 are t=5(3+sqrt(13)),t=5(3-sqrt(13))

Find the zeros of t^2-30t-100=0

The zeros of t^2-30t-100=0 are t=5(3+sqrt(13)),t=5(3-sqrt(13))

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t^{2} - 30 t - 100 = 0

t = 5 (3 + 13), t = 5 (3 - 13)

Decimal Notation

t = 33.02775 \dots, t = - 3.02775 \dots

Solution steps

t^{2} - 30 t - 100 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 1 \cdot ( - 100 )}{2 \cdot 1}

(- 30)^{2} - 4 \cdot 1 \cdot (- 100) = 1013

t_{1, 2} = \frac{- ( - 30 ) \pm 10 13}{2 \cdot 1}

Separate the solutions

t_{1} = \frac{- ( - 30 ) + 10 13}{2 \cdot 1}, t_{2} = \frac{- ( - 30 ) - 10 13}{2 \cdot 1}

t = \frac{- ( - 30 ) + 10 13}{2 \cdot 1} : 5 (3 + 13)

t = \frac{- ( - 30 ) - 10 13}{2 \cdot 1} : 5 (3 - 13)

The solutions to the quadratic equation are:

t = 5 (3 + 13), t = 5 (3 - 13)

y, y - 2 x y - y^{2} = 0

4 x^{2} + 1 = 10 x

12 x^{2} - 96 x + 128 = 0

X^{2} + 7 X + 5 = 0

x^{2} - 12 x = 58

What are the solutions to the equation t^2-30t-100=0 ?
The solutions to the equation t^2-30t-100=0 are t=5(3+sqrt(13)),t=5(3-sqrt(13))
Find the zeros of t^2-30t-100=0
The zeros of t^2-30t-100=0 are t=5(3+sqrt(13)),t=5(3-sqrt(13))