What are the solutions to the equation 3t^2-t-7=0 ?

The solutions to the equation 3t^2-t-7=0 are t=(1+sqrt(85))/6 ,t=(1-sqrt(85))/6

Find the zeros of 3t^2-t-7=0

The zeros of 3t^2-t-7=0 are t=(1+sqrt(85))/6 ,t=(1-sqrt(85))/6

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3 t^{2} - t - 7 = 0

t = \frac{1 + 85}{6}, t = \frac{1 - 85}{6}

Decimal Notation

t = 1.70325 \dots, t = - 1.36992 \dots

Solution steps

3 t^{2} - t - 7 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( - 7 )}{2 \cdot 3}

(- 1)^{2} - 4 \cdot 3 (- 7) = 85

t_{1, 2} = \frac{- ( - 1 ) \pm 85}{2 \cdot 3}

Separate the solutions

t_{1} = \frac{- ( - 1 ) + 85}{2 \cdot 3}, t_{2} = \frac{- ( - 1 ) - 85}{2 \cdot 3}

t = \frac{- ( - 1 ) + 85}{2 \cdot 3} : \frac{1 + 85}{6}

t = \frac{- ( - 1 ) - 85}{2 \cdot 3} : \frac{1 - 85}{6}

The solutions to the quadratic equation are:

t = \frac{1 + 85}{6}, t = \frac{1 - 85}{6}

2 x^{3} - 7 x^{2} + 4 x + 4

- \frac{1}{3} \cdot 21

(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})^{2}

12 x^{2} y - 3 y

83 = \frac{1}{2} \cdot (\frac{π}{4}) r^{2}

What are the solutions to the equation 3t^2-t-7=0 ?
The solutions to the equation 3t^2-t-7=0 are t=(1+sqrt(85))/6 ,t=(1-sqrt(85))/6
Find the zeros of 3t^2-t-7=0
The zeros of 3t^2-t-7=0 are t=(1+sqrt(85))/6 ,t=(1-sqrt(85))/6