What are the solutions to the equation 10a^2-3a-1=0 ?

The solutions to the equation 10a^2-3a-1=0 are a= 1/2 ,a=-1/5

Find the zeros of 10a^2-3a-1=0

The zeros of 10a^2-3a-1=0 are a= 1/2 ,a=-1/5

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10 a^{2} - 3 a - 1 = 0

a = \frac{1}{2}, a = - \frac{1}{5}

Decimal Notation

a = 0.5, a = - 0.2

Solution steps

10 a^{2} - 3 a - 1 = 0

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 10 (- 1) = 7

a_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 \cdot 10}

Separate the solutions

a_{1} = \frac{- ( - 3 ) + 7}{2 \cdot 10}, a_{2} = \frac{- ( - 3 ) - 7}{2 \cdot 10}

a = \frac{- ( - 3 ) + 7}{2 \cdot 10} : \frac{1}{2}

a = \frac{- ( - 3 ) - 7}{2 \cdot 10} : - \frac{1}{5}

The solutions to the quadratic equation are:

a = \frac{1}{2}, a = - \frac{1}{5}

x^{2} - 8 x - 29 = 0

2 x^{2} - 8 x + 15

2 x^{2} - 12 x - 3 = 0

5 x + 3 x^{2} = 4 x - 7

(3 x + 1)^{2} = 4 (x - 1)^{2}

What are the solutions to the equation 10a^2-3a-1=0 ?
The solutions to the equation 10a^2-3a-1=0 are a= 1/2 ,a=-1/5
Find the zeros of 10a^2-3a-1=0
The zeros of 10a^2-3a-1=0 are a= 1/2 ,a=-1/5