What are the solutions to the equation completesquare x^2-11x+18 ?

The solutions to the equation completesquare x^2-11x+18 are (x-11/2)^2-49/4

Find the zeros of completesquare x^2-11x+18

The zeros of completesquare x^2-11x+18 are (x-11/2)^2-49/4

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complete the square

x^{2} - 11 x + 18

(x - \frac{11}{2})^{2} - \frac{49}{4}

Solution steps

x^{2} - 11 x + 18

Write

x^{2} - 11 x + 18

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 + 18 + (- \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} + 18 - (- \frac{11}{2})^{2}

Simplify

(x - \frac{11}{2})^{2} - \frac{49}{4}

u, (2 uv)^{2} = 4 - 4 (u^{2} - v^{2})

(h + 10) (h) = 600

8 g^{2} + 8 g + 2 = 0

(x - 5)^{2} - 24 = 1

4^{2} + b^{2} = 9^{2}

What are the solutions to the equation completesquare x^2-11x+18 ?
The solutions to the equation completesquare x^2-11x+18 are (x-11/2)^2-49/4
Find the zeros of completesquare x^2-11x+18
The zeros of completesquare x^2-11x+18 are (x-11/2)^2-49/4