Kujah
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Question from the cambridge book.
a)Obtain in the form a+ib the roots of the equation x^2+2x+3=0. Find the modulus and argument of each root. Represent these roots on an Argand diagram by the points A and B.
b) Let H and K be the points representing the roots of x^2+2px+q=0, where p and q are real and p^2<q. Find the algebraic relation satisified by p and q in each of the following cases
i) Angle HOK is a right angle.
ii) A, B, H and K are equidistant from O.
I'm fine with Qa). Just added as it links to Qb).
ANSWERS for b):
i) 2p^2-q=0
ii) q=3
a)Obtain in the form a+ib the roots of the equation x^2+2x+3=0. Find the modulus and argument of each root. Represent these roots on an Argand diagram by the points A and B.
b) Let H and K be the points representing the roots of x^2+2px+q=0, where p and q are real and p^2<q. Find the algebraic relation satisified by p and q in each of the following cases
i) Angle HOK is a right angle.
ii) A, B, H and K are equidistant from O.
I'm fine with Qa). Just added as it links to Qb).
ANSWERS for b):
i) 2p^2-q=0
ii) q=3
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