What are the solutions to the equation completesquare s^2-14s+53 ?

The solutions to the equation completesquare s^2-14s+53 are (s-7)^2+4

Find the zeros of completesquare s^2-14s+53

The zeros of completesquare s^2-14s+53 are (s-7)^2+4

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complete the square

s^{2} - 14 s + 53

(s - 7)^{2} + 4

Solution steps

s^{2} - 14 s + 53

Write

s^{2} - 14 s + 53

in the form:

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

2 a = - 14 : a = - 7

Add and subtract

(- 7)^{2}

s^{2} - 14 s + 53 + (- 7)^{2} - (- 7)^{2}

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

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

(s - 7)^{2} + 53 - (- 7)^{2}

Simplify

(s - 7)^{2} + 4

2 X (X - 1) = 4 X - 3

5 x^{2} - 9 = 4 x

5 y - 6 + 50 y^{2} = 0

0 = 4 x^{2} - 5 x - 3

2 x^{2} + 6 x + 3 = 3

What are the solutions to the equation completesquare s^2-14s+53 ?
The solutions to the equation completesquare s^2-14s+53 are (s-7)^2+4
Find the zeros of completesquare s^2-14s+53
The zeros of completesquare s^2-14s+53 are (s-7)^2+4