Question

the sum of the squares of two consecutive even numbers is 340 find the numbers

Answer 1

#AlexaRousey here!!

Let the first even no be x.

Then second consecutive even no is (x+2).

According to question ;

=) x^2 + (x+2)^2 = 340

=) x^2 + x^2 + 2(2)x + 2^2 = 340

=) 2x^2 + 4x + 4 = 340

=) 2x^2 + 4x = 336

=) x^2 + 2x = 168

=) x^2 + 2x - 168 = 0

=) x^2 +14x - 12x - 168 = 0

=) x(x+7) - 12(x+7) = 0

=) (x-12) (x+7) = 0

Hence x = 12

Second no = 12+2 = 14

Hence numbers are 12 nd 14.

Thanks!!

Answer 2

Answer:

Pls mark this answer as brainliest answer