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1027

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+1207

The quadratic $x^2+1300x+1300$ can be written in the form $(x+b)^2+c$ , where b and c are constants. What is $\frac{c}{b}$ ?

Logic Jul 15, 2019

CPhill · Answer 1 · 2019-07-15T08:00:19

x^2 + 1300x + 1300 complete the square on x

Take 1/2 of 1300 = 650.....square it = 422500

Add it and subtract it

x^2 + 1300x + 422500 + 1300 - 422500

Factor the first three terms and simplify

(x + 650)^2 - 421200

c = - 421200 b = 650

c / b = - 421200 / 650 = -648