What are the solutions to the equation completesquare x^2-14x+49 ?

The solutions to the equation completesquare x^2-14x+49 are (x-7)^2

Find the zeros of completesquare x^2-14x+49

The zeros of completesquare x^2-14x+49 are (x-7)^2

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complete the square

x^{2} - 14 x + 49

(x - 7)^{2}

Solution steps

x^{2} - 14 x + 49

Write

x^{2} - 14 x + 49

in the form:

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

2 a = - 14 : a = - 7

Add and subtract

(- 7)^{2}

x^{2} - 14 x + 49 + (- 7)^{2} - (- 7)^{2}

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

x^{2} - 14 x + (- 7)^{2} = (x - 7)^{2}

(x - 7)^{2} + 49 - (- 7)^{2}

Simplify

(x - 7)^{2}

x^{2} - 14 x + 40

3 (x + 2)^{2} = 30

4 x^{2} - 24 = 60

43 = a^{2} \cdot 3

3 x^{2} + 18 x - 120 = 0

What are the solutions to the equation completesquare x^2-14x+49 ?
The solutions to the equation completesquare x^2-14x+49 are (x-7)^2
Find the zeros of completesquare x^2-14x+49
The zeros of completesquare x^2-14x+49 are (x-7)^2