Find the equation
Algebra
Level
3
If "a" and "b" are rational nos. and "b" is not a perfect square, then the quadratic equation with rational coefficients and whose one root is 1/[a+(sq, root b)],is:
Note: Sq. root b means the square root of "b". This problem is not of my own. I read it somewhere else.
(a^2 - b)x^2 - 2bx + 1 = 0
None of these
(a^2-b)x^2 - 2ax +1 = 0
x^2 - 2ax + (a^2 - b) = 0
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1 solution
I wont't solve the question completely but will give hints. Irrational roots always occur in pairs, thus we can get the other root and by using this formula complete the question
x^2 - (Product of roots)x + (Sum of roots) = 0