Question

if one root of the equation x2+ax+3=0 is 1, then its other root is

Answer 1

$AnswEr$

Let α be the one root of the equation and β be the other root .

Given : x² + ax + 3 = 0 , α = 1

On comparing the given equation with ax² + bx + c = 0

Here, a = 1 , b = a , c = 3

Product of zeroes = c/a

α × β = c/a

1× β = 3/1

β = 3

Hence, the other root of the equation is β = 3 .

Answer 2

Answer:

Let α be the one root  of the equation and β be the other root .

Given : x² + ax + 3 = 0 , α = 1

On comparing the given equation with ax² + bx + c = 0  

Here, a = 1 , b = a , c = 3

Product of zeroes = c/a  

α × β = c/a

1×  β = 3/1

β = 3

Hence, the other root of  the equation is β = 3 .

Step-by-step explanation: