What are the solutions to the equation 1.5t^2-17.6t-75=0 ?

The solutions to the equation 1.5t^2-17.6t-75=0 are t=(88+sqrt(18994))/(15),t=(88-sqrt(18994))/(15)

Find the zeros of 1.5t^2-17.6t-75=0

The zeros of 1.5t^2-17.6t-75=0 are t=(88+sqrt(18994))/(15),t=(88-sqrt(18994))/(15)

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1.5 t^{2} - 17.6 t - 75 = 0

t = \frac{88 + 18994}{15}, t = \frac{88 - 18994}{15}

Decimal Notation

t = 15.05458 \dots, t = - 3.32124 \dots

Solution steps

1.5 t^{2} - 17.6 t - 75 = 0

Multiply both sides by

10

15 t^{2} - 176 t - 750 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 176 ) \pm ( - 176 ) ^{2} - 4 \cdot 15 ( - 750 )}{2 \cdot 15}

(- 176)^{2} - 4 \cdot 15 (- 750) = 218994

t_{1, 2} = \frac{- ( - 176 ) \pm 2 18994}{2 \cdot 15}

Separate the solutions

t_{1} = \frac{- ( - 176 ) + 2 18994}{2 \cdot 15}, t_{2} = \frac{- ( - 176 ) - 2 18994}{2 \cdot 15}

t = \frac{- ( - 176 ) + 2 18994}{2 \cdot 15} : \frac{88 + 18994}{15}

t = \frac{- ( - 176 ) - 2 18994}{2 \cdot 15} : \frac{88 - 18994}{15}

The solutions to the quadratic equation are:

t = \frac{88 + 18994}{15}, t = \frac{88 - 18994}{15}

0 = - x^{2} + 4 x + 12

3 (x - 2) = 2 (x^{2} - 9) + x^{2} - 5 (x + 2)

- 2 x^{2} + 3 x + 8 = 0

0 = 12 x^{2} - 280 x + 1000

x, x^{2} - 2 x y + y^{2} = 6

What are the solutions to the equation 1.5t^2-17.6t-75=0 ?
The solutions to the equation 1.5t^2-17.6t-75=0 are t=(88+sqrt(18994))/(15),t=(88-sqrt(18994))/(15)
Find the zeros of 1.5t^2-17.6t-75=0
The zeros of 1.5t^2-17.6t-75=0 are t=(88+sqrt(18994))/(15),t=(88-sqrt(18994))/(15)