What are the solutions to the equation completesquare x^2+11x+1 ?

The solutions to the equation completesquare x^2+11x+1 are (x+11/2)^2-117/4

Find the zeros of completesquare x^2+11x+1

The zeros of completesquare x^2+11x+1 are (x+11/2)^2-117/4

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complete the square

x^{2} + 11 x + 1

(x + \frac{11}{2})^{2} - \frac{117}{4}

Solution steps

x^{2} + 11 x + 1

Write

x^{2} + 11 x + 1

in the form:

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

2 a = 11 : a = \frac{11}{2}

Add and subtract

(\frac{11}{2})^{2}

x^{2} + 11 x + 1 + (\frac{11}{2})^{2} - (\frac{11}{2})^{2}

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

x^{2} + 11 x + (\frac{11}{2})^{2} = (x + \frac{11}{2})^{2}

(x + \frac{11}{2})^{2} + 1 - (\frac{11}{2})^{2}

Simplify

(x + \frac{11}{2})^{2} - \frac{117}{4}

2 x^{2} = 3 x + 5

3^{2} + y^{2} = 4

3^{2} + y^{2} = 9

- x^{2} + 3 x + 7 = 0

5 x^{2} + 3 x = 3

What are the solutions to the equation completesquare x^2+11x+1 ?
The solutions to the equation completesquare x^2+11x+1 are (x+11/2)^2-117/4
Find the zeros of completesquare x^2+11x+1
The zeros of completesquare x^2+11x+1 are (x+11/2)^2-117/4