Question

For a quadratic equation $a{x}^2+bx+c=0$, if sum of the roots is - 1 and product of the roots is 1, then which of the following holds true?

• A. $a^2=bc$
• B. $ac=1$
• C. $ab=1$
• D. $bc=1$

Answer 1

The correct option is A $a^2=bc$

Quadratic equation $a{x}^2+bx+c=0$
Sum of roots, $-\frac{b}{a}=-1\Rightarrow b=a$
Product of roots $\frac{c}{a}=1\Rightarrow c=a$
On comparing,
we get
$a^2=bc$