Question

7. What is the nature of the roots of the quadratic equation 4X² -8X +9=0 ?
a) Real
b) Not real
c) Real and equal
d) Real and unequal​

Answer 1

$\huge\mathbb\color{purple}{AN}\purple{SW}\pink{ER}\color{pink}{:}$

First we have to find discriminant.

${b}^{2} - 4ac \\ = { (- 8)}^{2} - 4 \times 4 \times 9 \\ = 64 - 144 \\ = - 80 < 0 \\ \huge \bold \green{ \therefore \: not \: real}$