What are the solutions to the equation 6a^2-a-1=0 ?

The solutions to the equation 6a^2-a-1=0 are a= 1/2 ,a=-1/3

Find the zeros of 6a^2-a-1=0

The zeros of 6a^2-a-1=0 are a= 1/2 ,a=-1/3

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6 a^{2} - a - 1 = 0

a = \frac{1}{2}, a = - \frac{1}{3}

Decimal Notation

a = 0.5, a = - 0.33333 \dots

Solution steps

6 a^{2} - a - 1 = 0

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 6 (- 1) = 5

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

Separate the solutions

a_{1} = \frac{- ( - 1 ) + 5}{2 \cdot 6}, a_{2} = \frac{- ( - 1 ) - 5}{2 \cdot 6}

a = \frac{- ( - 1 ) + 5}{2 \cdot 6} : \frac{1}{2}

a = \frac{- ( - 1 ) - 5}{2 \cdot 6} : - \frac{1}{3}

The solutions to the quadratic equation are:

a = \frac{1}{2}, a = - \frac{1}{3}

r, r^{2} - 2 b r + b = 0

(x - 8) (x - 4) = - 4

x, 2 x^{2} + 4 y^{2} + 8 x - 8 y + 12 = 0

(2 x - 1) (6 x + 8) = 4 (x^{2} - 5)

\frac{2 x ^{2} - 6}{2} = \frac{15 x - 9}{6} - \frac{3 x + 14}{8}

What are the solutions to the equation 6a^2-a-1=0 ?
The solutions to the equation 6a^2-a-1=0 are a= 1/2 ,a=-1/3
Find the zeros of 6a^2-a-1=0
The zeros of 6a^2-a-1=0 are a= 1/2 ,a=-1/3