What are the solutions to the equation completesquare x^2-10x+21 ?

The solutions to the equation completesquare x^2-10x+21 are (x-5)^2-4

Find the zeros of completesquare x^2-10x+21

The zeros of completesquare x^2-10x+21 are (x-5)^2-4

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complete the square

x^{2} - 10 x + 21

(x - 5)^{2} - 4

Solution steps

x^{2} - 10 x + 21

Write

x^{2} - 10 x + 21

in the form:

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

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

x^{2} - 10 x + 21 + (- 5)^{2} - (- 5)^{2}

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

x^{2} - 10 x + (- 5)^{2} = (x - 5)^{2}

(x - 5)^{2} + 21 - (- 5)^{2}

Simplify

(x - 5)^{2} - 4

(- \frac{8}{3})^{2} + y^{2} = 1^{2}

x^{2} + 3 x + 21 = 22

a, (a + b + c)^{2} = 225

x^{2} + 2 x = x + 3.75

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

What are the solutions to the equation completesquare x^2-10x+21 ?
The solutions to the equation completesquare x^2-10x+21 are (x-5)^2-4
Find the zeros of completesquare x^2-10x+21
The zeros of completesquare x^2-10x+21 are (x-5)^2-4