Question

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

Answer 1

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.