If one root of the equation x² + ax + 3 = 0) is 1, then its other root is
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Step-by-step explanation:
Given :-
One root of the equation x^2 + ax + 3 = 0 is 1
To find:-
Find its another root of the equation?
Solution:-
Given that
The quadratic equation is X^2+ ax + 3 = 0
Given root = 1
If 1 is the root of the given equation then it satisfies the given equation.
On Putting X = 1 then
=>(1)^2+a(1)+3 = 0
=> 1+a +3 = 0
=>a+4 = 0
=> a= -4
The value of a = -4
Now the given equation becomes then
x^2 -4x+3 = 0
=>x^2-x-3x+3 = 0
=>x(x-1) -3(x-1) = 0
=>(x-1)(x-3) = 0
=>(x-1) = 0 or (x-3) = 0
=> x = 1 or x = 3
The roots are 1 and 3
The other root = 3
Answer:-
The other root for the given problem is 3
Used formulae:-
- If a number is a solution or a root then it satisfies the given equation.
- Factorization method.
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