In each of these questions, two equation (I ) and (II) are given. You have to solve both the equations and give answer
Correct Answer :
If x > y
Solution :
To determine the relationship between and , we need to solve both given quadratic equations step-by-step.
Step 1: Solve Equation I for
The first equation is:
We split the middle term into two terms whose product is and sum is . The numbers are and .
This gives the roots:
or
Step 2: Solve Equation II for
The second equation is:
We split the middle term into two terms whose product is and sum is . The numbers are and .
This gives the roots:
or
Step 3: Compare values of and
Values of :
Values of :
Comparing each value of with each value of :
1. When : and
2. When : and
In all cases, every value of is strictly greater than every value of .
Hence, the correct option is If x > y.
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