Question:
Sum of two numbers is 20 and their product is 75. Then sum of their squares is
Sum of two numbers is 20 and their product is 75. Then sum of their squares is
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Remember identity: $x^2 + y^2 = (x+y)^2 - 2xy$.
Updated On: Feb 27, 2026
- 225
- 240
- 250
- 260
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The Correct Option is C
Solution and Explanation
Concept:
Use identity:
\[
x^2 + y^2 = (x+y)^2 - 2xy
\]
Explanation:
Given:
\[
x+y = 20,\quad xy = 75
\]
\[
x^2 + y^2 = 20^2 - 2(75)
\]
\[
= 400 - 150 = 250
\]
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