What are the solutions to the equation 3t^2-10t-6=2 ?

The solutions to the equation 3t^2-10t-6=2 are t=4,t=-2/3

Find the zeros of 3t^2-10t-6=2

The zeros of 3t^2-10t-6=2 are t=4,t=-2/3

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3 t^{2} - 10 t - 6 = 2

t = 4, t = - \frac{2}{3}

Decimal Notation

t = 4, t = - 0.66666 \dots

Solution steps

3 t^{2} - 10 t - 6 = 2

Move

2

to the left side

3 t^{2} - 10 t - 8 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 ( - 8 )}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 (- 8) = 14

t_{1, 2} = \frac{- ( - 10 ) \pm 14}{2 \cdot 3}

Separate the solutions

t_{1} = \frac{- ( - 10 ) + 14}{2 \cdot 3}, t_{2} = \frac{- ( - 10 ) - 14}{2 \cdot 3}

t = \frac{- ( - 10 ) + 14}{2 \cdot 3} : 4

t = \frac{- ( - 10 ) - 14}{2 \cdot 3} : - \frac{2}{3}

The solutions to the quadratic equation are:

t = 4, t = - \frac{2}{3}

9 y^{2} + 1.2 y

5 x^{2} - 32 x - 21 = 0

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

6 x^{2} - 3 = 8 x

30 x^{2} + 17 x + 2 = 0

What are the solutions to the equation 3t^2-10t-6=2 ?
The solutions to the equation 3t^2-10t-6=2 are t=4,t=-2/3
Find the zeros of 3t^2-10t-6=2
The zeros of 3t^2-10t-6=2 are t=4,t=-2/3