What are the solutions to the equation completesquare x^2+x+2 ?

The solutions to the equation completesquare x^2+x+2 are (x+1/2)^2+7/4

Find the zeros of completesquare x^2+x+2

The zeros of completesquare x^2+x+2 are (x+1/2)^2+7/4

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complete the square

x^{2} + x + 2

(x + \frac{1}{2})^{2} + \frac{7}{4}

Solution steps

x^{2} + x + 2

Write

x^{2} + x + 2

in the form:

x^{2} + 2 a x + a^{2}

2 a = 1 : a = \frac{1}{2}

Add and subtract

(\frac{1}{2})^{2}

x^{2} + x + 2 + (\frac{1}{2})^{2} - (\frac{1}{2})^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 1 x + (\frac{1}{2})^{2} = (x + \frac{1}{2})^{2}

(x + \frac{1}{2})^{2} + 2 - (\frac{1}{2})^{2}

Simplify

(x + \frac{1}{2})^{2} + \frac{7}{4}

u, v^{2} = u^{2} + 2 a s

x^{2} - 16 = 0

5 x^{2} + 100 x + 460 = 0

3 (4 x + 1)^{2} - 37 = 5

x^{2} - 3 x - 10 = 0

What are the solutions to the equation completesquare x^2+x+2 ?
The solutions to the equation completesquare x^2+x+2 are (x+1/2)^2+7/4
Find the zeros of completesquare x^2+x+2
The zeros of completesquare x^2+x+2 are (x+1/2)^2+7/4