GATE CE 2026 Set 1 — Question 28
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
It is given that and are integers in the following equation:The value of is ________ (in integer).
Correct answer
91 to 91
Solution
Given equation:
Since and are integers (and thus real), the sum of squares is zero only if each term is zero:
1)
2)
Subtracting equation (1) from (2):
Substituting into equation (1):
The value of .
Since and are integers (and thus real), the sum of squares is zero only if each term is zero:
1)
2)
Subtracting equation (1) from (2):
Substituting into equation (1):
The value of .
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