quadratic equation can have at the most two
roots.
(v) True: In quadratic equation , if
and have opposite signs, then .
Therefore, . So, the quadratic
equation has real roots.
(vi) True: In quadratic equation , if
and have same signs and , then
2
2
b 4ac 0 4ac 4ac 0
So, the quadratic equation has no real roots.
Question: 3
A quadratic equation with integral coefficient has
integral roots. Justify your answer.
Solution:
No, in a quadratic equation with integral coefficient
can have roots in non-integral,
i.e., fraction.
For example, has integral coefficient.
Now, simplify the equation.