What are the solutions to the equation 3g^2-10g-13=0 ?

The solutions to the equation 3g^2-10g-13=0 are g= 13/3 ,g=-1

Find the zeros of 3g^2-10g-13=0

The zeros of 3g^2-10g-13=0 are g= 13/3 ,g=-1

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3 g^{2} - 10 g - 13 = 0

g = \frac{13}{3}, g = - 1

Decimal Notation

g = 4.33333 \dots, g = - 1

Solution steps

3 g^{2} - 10 g - 13 = 0

Solve with the quadratic formula

g_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 ( - 13 )}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 (- 13) = 16

g_{1, 2} = \frac{- ( - 10 ) \pm 16}{2 \cdot 3}

Separate the solutions

g_{1} = \frac{- ( - 10 ) + 16}{2 \cdot 3}, g_{2} = \frac{- ( - 10 ) - 16}{2 \cdot 3}

g = \frac{- ( - 10 ) + 16}{2 \cdot 3} : \frac{13}{3}

g = \frac{- ( - 10 ) - 16}{2 \cdot 3} : - 1

The solutions to the quadratic equation are:

g = \frac{13}{3}, g = - 1

x^{2} + 5^{2} + 2 = - 4

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

10 = 2 + 23 t - 16 t^{2}

x^{2} - x - 10 = x + 5

x^{2} - 6 x - 6 = 0

What are the solutions to the equation 3g^2-10g-13=0 ?
The solutions to the equation 3g^2-10g-13=0 are g= 13/3 ,g=-1
Find the zeros of 3g^2-10g-13=0
The zeros of 3g^2-10g-13=0 are g= 13/3 ,g=-1