SOLUTION: Find the coordinates of the points of intersection of the line with equation y=x+k and the parabola with equation y=x^2-4x, where k>0

SOLUTION: Find the coordinates of the points of intersection of the line with equation y=x+k and the parabola with equation y=x^2-4x, where k>0

Algebra.Com

Question 1029174: Find the coordinates of the points of intersection of the line with equation y=x+k and the parabola with equation y=x^2-4x, where k>0
Answer by Natolino1983(23) (Show Source): You can put this solution on YOUR website!
Y=(x+k)=x^2-4x then, x^2-5x-k=0 must be solved.
Formula says x=(5+sqrt(25 +4k))/2 or (5-sqrt(25+4k))/2.
The points are P=((5+sqrt(25+4k))/2,(5+sqrt(25+4k)+2k)/2) and Q=((5-sqrt(25-4k))/2,5-sqrt(25+4k)+2k)/2)
RELATED QUESTIONS
Find the coordinates of the points of intersection of the line with equation y=kx+1 and... (answered by Alan3354)

Hi, I need help with this question. Detailed working out would be greatly appreciated. (answered by math_tutor2020)

Hi, I need help with this question. Detailed working out would be greatly appreciated. (answered by ikleyn)

find the coordinates of the points of intersection of the parabola y=x2 and the line... (answered by Edwin McCravy)

Find the y-coordinates of the points of the intersection of the curve with equation y=x^2 (answered by Fombitz)

find the distance between the poionts of intersection of the line with equation y=2x+1... (answered by Alan3354)

Find the value of a such that the line y=x^2+a has exactly one intersection point with... (answered by Alan3354)

The equation of a parabola is C is y=-2x^2+5x. The equation of line L is y-4x+1=0. a)find (answered by Alan3354)

Find the coordinates of the points of intersection of the parabola y = x2 - ax and the... (answered by ikleyn)