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

The solutions to the equation a^2+3a-1/2 =0 are a=(-3+sqrt(11))/2 ,a=-(3+sqrt(11))/2

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

The zeros of a^2+3a-1/2 =0 are a=(-3+sqrt(11))/2 ,a=-(3+sqrt(11))/2

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a^{2} + 3 a - \frac{1}{2} = 0

a = \frac{- 3 + 11}{2}, a = - \frac{3 + 11}{2}

Decimal Notation

a = 0.15831 \dots, a = - 3.15831 \dots

Solution steps

a^{2} + 3 a - \frac{1}{2} = 0

Multiply both sides by

2

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

Solve with the quadratic formula

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

6^{2} - 4 \cdot 2 (- 1) = 211

a_{1, 2} = \frac{- 6 \pm 2 11}{2 \cdot 2}

Separate the solutions

a_{1} = \frac{- 6 + 2 11}{2 \cdot 2}, a_{2} = \frac{- 6 - 2 11}{2 \cdot 2}

a = \frac{- 6 + 2 11}{2 \cdot 2} : \frac{- 3 + 11}{2}

a = \frac{- 6 - 2 11}{2 \cdot 2} : - \frac{3 + 11}{2}

The solutions to the quadratic equation are:

a = \frac{- 3 + 11}{2}, a = - \frac{3 + 11}{2}

x^{2} + 12 x + 9 = 0

12 x^{2} - 4 x + 4 = - 3

x^{2} - 21 = - 4 x

3 x^{2} + 30 = - 18 x

5 x^{2} + 17 x + 6 = 0

What are the solutions to the equation a^2+3a-1/2 =0 ?
The solutions to the equation a^2+3a-1/2 =0 are a=(-3+sqrt(11))/2 ,a=-(3+sqrt(11))/2
Find the zeros of a^2+3a-1/2 =0
The zeros of a^2+3a-1/2 =0 are a=(-3+sqrt(11))/2 ,a=-(3+sqrt(11))/2