이차함수와 일차함수(직선)의 교점과 직선의 y절편과의 관계
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Home / Forums / Liberal Arts / Math Education / 이차함수와 일차함수(직선)의 교점과 직선의 y절편과의 관계
The product of the $x$-coordinates of the intersection points between a quadratic and a linear function is equal to the absolute y intercept of the line.
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x^2=ax+b
x^2-ax-b = 0
x1=(a+sqrt(D))/2, where D=판별식=Discriminant of a Quadratic
x2=(a-sqrt(S))/2
x1x2=(a^2-(a^2-4b))/4
x1x2=b
Thus, |x1*x2|=b=y_intercept_of_the_line