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thesilverlark2
A curve with the equation y= -(x+p)(x+q) cuts the x-axis at the points A(-2,0) and B(6,0). Write down the values of p and q.
the curve cuts the axis when y=0
So sub A(-2,0) into the equation? I got stuck because there were too many unknowns :/
Write a system of two equations. For the first equation, replace x with -2 and y with 0. For the second equation replace x with 6 and y with 0. Now you have two equations with variables p and q. Solve the system.
I got stuck again. Ended up with q+p=-4 .
p+q=-4 is correct, now substitute back in pq+36+6(p+q)=0 to get pq=-12 can u find p and q knowing p+q=-4 and pq= -12 ???
yeah I got it (: Thank you!