Question

if a and 1/a satisfies the equation ax²+bx+c =0 then a) a=c b) b=c c) a=b d) a=0 explain​

Answer 1

Answer:

$a)$ $a = c$

Step-by-step explanation:

Given Equation is $ax^{2} +bx +c = 0$

The question states that $a$, $\frac{1}{a}$ satisfies the equation

We know that the Product of roots of a quadratic equation = $\frac{c}{a}$

⇒ $(a)(\frac{1}{a}) = \frac{c}{a}$

⇒ $1 = \frac{c}{a}$

⇒ $c = a$

∴ $a)$ $a = c$ is correct