What are the solutions to the equation x^2+x+0.25=0 ?

The solutions to the equation x^2+x+0.25=0 are x=-1/2

Find the zeros of x^2+x+0.25=0

The zeros of x^2+x+0.25=0 are x=-1/2

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x^{2} + x + 0.25 = 0

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

x^{2} + x + 0.25 = 0

Multiply both sides by

100

100 x^{2} + 100 x + 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 100 \cdot 25}{2 \cdot 100}

10 0^{2} - 4 \cdot 100 \cdot 25 = 0

x_{1, 2} = \frac{- 100 \pm 0}{2 \cdot 100}

x = \frac{- 100}{2 \cdot 100}

\frac{- 100}{2 \cdot 100} = - \frac{1}{2}

x = - \frac{1}{2}

The solution to the quadratic equation is:

x = - \frac{1}{2}

7 x^{2} + 34 = 5 x^{2} + 20 + 14

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

3 x^{2} + 4 x

x^{2} + \frac{2}{3} x - \frac{2}{9} = 0

5 r^{2} - 7 r + 8 = r^{2} + 16 r + 14

What are the solutions to the equation x^2+x+0.25=0 ?
The solutions to the equation x^2+x+0.25=0 are x=-1/2
Find the zeros of x^2+x+0.25=0
The zeros of x^2+x+0.25=0 are x=-1/2