If x - y = 13 and xy = 25, then the value of $x^2 - y^2 = ?$
Answer & explanation
Correct answer: option 1
We know that,
a2 - b2 = (a + b) (a – b)
If x - y = n
then, x + y = \(\sqrt {n^2 + 4xy}\)
If x - y = 13
xy = 25,
x + y = \(\sqrt {13^2 + 4 × 25}\) = \(\sqrt {269}\)
then the value of $x^2 - y^2$ = $13\sqrt{269}$