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

The solutions to the equation factor x^2+x+1/4 =0 are x=-1/2

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

The zeros of factor x^2+x+1/4 =0 are x=-1/2

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Multiply both sides by

4

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

Factor

4 x^{2} + 4 x + 1 : (2 x + 1)^{2}

(2 x + 1)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 1 = 0

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

The solution to the quadratic equation is:

x = - \frac{1}{2}

(x + 3) (2 x - 1) = 9

- 20 y - 25 = 4 y^{2}

h^{2} - 3 h - 6 = 0

k^{2} + 6 k + 8 = 0

- 10 x^{2} + 1760 x - 5000 = 0

What are the solutions to the equation factor x^2+x+1/4 =0 ?
The solutions to the equation factor x^2+x+1/4 =0 are x=-1/2
Find the zeros of factor x^2+x+1/4 =0
The zeros of factor x^2+x+1/4 =0 are x=-1/2