What are the solutions to the equation 3a^2-6a-5=0 ?

The solutions to the equation 3a^2-6a-5=0 are a=(3+2sqrt(6))/3 ,a=(3-2sqrt(6))/3

Find the zeros of 3a^2-6a-5=0

The zeros of 3a^2-6a-5=0 are a=(3+2sqrt(6))/3 ,a=(3-2sqrt(6))/3

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3 a^{2} - 6 a - 5 = 0

a = \frac{3 + 2 6}{3}, a = \frac{3 - 2 6}{3}

Decimal Notation

a = 2.63299 \dots, a = - 0.63299 \dots

Solution steps

3 a^{2} - 6 a - 5 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 5) = 46

a_{1, 2} = \frac{- ( - 6 ) \pm 4 6}{2 \cdot 3}

Separate the solutions

a_{1} = \frac{- ( - 6 ) + 4 6}{2 \cdot 3}, a_{2} = \frac{- ( - 6 ) - 4 6}{2 \cdot 3}

a = \frac{- ( - 6 ) + 4 6}{2 \cdot 3} : \frac{3 + 2 6}{3}

a = \frac{- ( - 6 ) - 4 6}{2 \cdot 3} : \frac{3 - 2 6}{3}

The solutions to the quadratic equation are:

a = \frac{3 + 2 6}{3}, a = \frac{3 - 2 6}{3}

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

h^{2} - 31 h = 0

9 x^{2} - 4 = 0

\frac{x}{2} = (\frac{x}{5})^{2}

x^{2} - 2 x - 1 = 0

What are the solutions to the equation 3a^2-6a-5=0 ?
The solutions to the equation 3a^2-6a-5=0 are a=(3+2sqrt(6))/3 ,a=(3-2sqrt(6))/3
Find the zeros of 3a^2-6a-5=0
The zeros of 3a^2-6a-5=0 are a=(3+2sqrt(6))/3 ,a=(3-2sqrt(6))/3