Question

True or False
1. A quadratic equation can have at most $2$ real roots.
2. In quadratic equation $ax^{2} +bx+c=0$ , if $a$ and $c$ are of same sign and $b$ is $zero$ , the quadratic equation has real roots.

Answer 1

Answer:

(1) True, quadratic equations can have atmost 2 real roots because the degree decides the no. of roots. Quadratic equation has degree 2 therefore 2 roots

(2)false because when we take the determinant,

b² - 4ac, b=0 and a, c are of same sign, so determinant will be negative so it will not have real roots

#WMK