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if 2 quadratic equation have real roots then will the new quadratic equation formed by summing them have real roots? pls help

if 2 quadratic equation have real roots then will
the new quadratic equation formed by summing them have real roots?
pls help

Grade:11

1 Answers

mycroft holmes
272 Points
7 years ago
Consider the quadratic P(x) = (x-2)^2+(x-3)^2 This is a sum of two quadratics both of which have real roots. However,P(x) is always positive and has no real roots.

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