Question

a,b,c are three rational number and a+b+c= 0 . then find the roots of the equation of ax^2+bx+c=0​

Answer 1

Answer:

$a + b + c = 0 \: then \\ b = - (a + c) \\ put \: the \: value \: of \: b \: in \\ a {x}^{2} + b x + c = 0 \\ a {x}^{2} + (a + c)x + c = 0 \\ a {x}^{2} + ax + cx + c = 0 \\ ax(x + 1) + c( x + 1) = 0 \\ (ax + c)(x + 1) = 0 \: \\ roots \: : \\ x = \frac{ - c}{a} \: \: or \: x = - 1$

plz mark me as BRAINLIEST and thank you for giving such interesting QUESTION