Question

(4) What is the condition that one root of the quadratic equation is reciprocal of
the other?
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Answer 1

Answer:

Since one solution is the reciprocal of the other, we have r1r2=1, so that a=c. Hence, the roots are reciprocals of one another only when a=c. By the Quadratic Formula, given ax2+bx+c=0 with a≠0, we have x=−b±√b2−4ac2a.