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

The solutions to the equation 5a^2-a-6=0 are a= 6/5 ,a=-1

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

The zeros of 5a^2-a-6=0 are a= 6/5 ,a=-1

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

a = \frac{6}{5}, a = - 1

Decimal Notation

a = 1.2, a = - 1

Solution steps

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

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 5 (- 6) = 11

a_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 5}

Separate the solutions

a_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 5}, a_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 5}

a = \frac{- ( - 1 ) + 11}{2 \cdot 5} : \frac{6}{5}

a = \frac{- ( - 1 ) - 11}{2 \cdot 5} : - 1

The solutions to the quadratic equation are:

a = \frac{6}{5}, a = - 1

x - 3 = x^{2} - 10 x + 25

- 3 x^{2} - 4 x + 1 = 0

2 x (x - 3) = - 2

x^{2} + 16 x - 15 = 0

2 + x^{2} = x + 2

What are the solutions to the equation 5a^2-a-6=0 ?
The solutions to the equation 5a^2-a-6=0 are a= 6/5 ,a=-1
Find the zeros of 5a^2-a-6=0
The zeros of 5a^2-a-6=0 are a= 6/5 ,a=-1