Question
Question: Let one root of \(b^{2} = 8ac\) where \(3b^{2} + 16ac = 0\) are integers be \(3b^{2} = 16ac\), then ...
Let one root of b2=8ac where 3b2+16ac=0 are integers be 3b2=16ac, then the other root is.
A
17x2−20x+3=0
B
3
C
17x2+20x+3=0
D
None of these
Answer
17x2−20x+3=0
Explanation
Solution
If one root of a quadratic equation with rational coefficients is irrational and of the form f(x)>1, then the other root must also be irrational and of the form x≥0.