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.

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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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.

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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!
welcome :)

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