Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x - y = 25 and xy = 78, then what is the value of $x^2 + y^2 $ ?

Options:

625

781

103

756

Correct Answer:

781

Explanation:

If x - y = 25

xy = 78,

then what is the value of $x^2 + y^2 $

( a - b )2 = $a^2 + b^2 $- 2ab

( 25 )2 = $x^2 + y^2 $ - 2(78)

625 = $x^2 + y^2 $ - 156

$x^2 + y^2 $ =  781