What are the solutions to the equation x^2+1/4 x-1/2 =0 ?

The solutions to the equation x^2+1/4 x-1/2 =0 are x=(-1+sqrt(33))/8 ,x=(-1-sqrt(33))/8

Find the zeros of x^2+1/4 x-1/2 =0

The zeros of x^2+1/4 x-1/2 =0 are x=(-1+sqrt(33))/8 ,x=(-1-sqrt(33))/8

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x^{2} + \frac{1}{4} x - \frac{1}{2} = 0

x = \frac{- 1 + 33}{8}, x = \frac{- 1 - 33}{8}

Decimal Notation

x = 0.59307 \dots, x = - 0.84307 \dots

Solution steps

x^{2} + \frac{1}{4} x - \frac{1}{2} = 0

Find Least Common Multiplier of

4, 2 : 4

Multiply by LCM=

4

x^{2} \cdot 4 + \frac{1}{4} x \cdot 4 - \frac{1}{2} \cdot 4 = 0 \cdot 4

Simplify

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

Solve with the quadratic formula

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

1^{2} - 4 \cdot 4 (- 2) = 33

x_{1, 2} = \frac{- 1 \pm 33}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 1 + 33}{2 \cdot 4}, x_{2} = \frac{- 1 - 33}{2 \cdot 4}

x = \frac{- 1 + 33}{2 \cdot 4} : \frac{- 1 + 33}{8}

x = \frac{- 1 - 33}{2 \cdot 4} : \frac{- 1 - 33}{8}

The solutions to the quadratic equation are:

x = \frac{- 1 + 33}{8}, x = \frac{- 1 - 33}{8}

x^{2} - (a + b) x + ab = 0

x^{2} + 10 = - 6 x

12 x^{2} + 13 x = 5 x

(2 x + 2) (x) = 60

4 x^{2} + 24 x + 13 = 2 x^{2} + 6 x

What are the solutions to the equation x^2+1/4 x-1/2 =0 ?
The solutions to the equation x^2+1/4 x-1/2 =0 are x=(-1+sqrt(33))/8 ,x=(-1-sqrt(33))/8
Find the zeros of x^2+1/4 x-1/2 =0
The zeros of x^2+1/4 x-1/2 =0 are x=(-1+sqrt(33))/8 ,x=(-1-sqrt(33))/8