Quadratic Equations Test 2

Instructions

For the following questions answer them individually

Q 1

If p and q are the roots of the equation $$ax^2+bx+c=0$$, find the equation whose roots are $$p^2$$ and $$-q^2$$ given that p-q=1

Q 2

Every box can contain a maximum of 15 chocolates. If no three boxes can contain the same number of chocolates, what is the maximum number of chocolates a person can carry using 20 boxes?

Q 3

If the difference between the roots of $$2x^2 - 29 x + q = 0$$ is 11/2 then find q

Q 4

If P is a natural number greater than 1, which of the following statements is always true about the roots of the equations $$x^2-8px+16p=0$$ ?

Q 5

For how many positive integral values of p does $$3x^2+12x+p=0$$ have rational roots?

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