If one root of x^2 – 8x + 13 = 0 is 4 + √3,then the other root is …………….
If one root of x2 – 8x + 13 = 0 is 4 + √3,then the other root is …………….
A) 2 + √3
B) 2 – √3
C) -4 + √3
D) 4 – √3
4 views
2 Answers
Correct option is (D) 4 – √3
Let the other root be \(\alpha.\)
Then sum of roots \(=\frac{-b}a\)
\(=\frac{-(-8)}1=8\)
\(\therefore \alpha+4+\sqrt3=8\)
\(\Rightarrow\alpha=8-(4+\sqrt3)\)
= \(4-\sqrt{3}\)
Hence, the other root of given quadratic equation is \(4-\sqrt{3}.\)
4 views
Answered