Question

Sum of squares of 2 consecutive odd number of 290 find the number

Answer 1

Answer:

11 and 13

-11 and -13

Step-by-step explanation:

Let one number is x.

The other number would be x+2

(x)^2 + (x+2)^2 = 290

x^2 + x^2 + 4x + 4 = 290

2x^2 + 4x + 4 - 290 = 0

2x^2 + 4x - 286 = 0

x^ 2 + 2x - 143 = 0

x^2 + 13x - 11x - 143 =0

x(x + 13) - 11(x+13) = 0

(x-11)(x+13) = 0

x = 11

x = -13