Question

the sum of the squares of two consecutive odd numbers is 394 the mathematical equations for the above statement​

Answer 1

Answer:

13,-15

Step-by-step explanation:

Let 2 odd no.s = x,x+2

Sum of square = x² + x² +4+4x

2x² +4x+4 = 394

2x² + 4x -390 = 0

x² +2x -195 =0

x² + 15x -13x -195=0

x(x+15)-13(x+15) = 0

(x -13) (x+15) = 0

x= 13

x = -15

Answer 2

Answer:

$2 {x}^{2} + 8x + 384 = 0$

This is the answer...

Original Equation is

${(x + 1)}^{2} + {(x + 3)}^{2} = 394$

Which on further simplification gives the above equation

and on application quadratic formula the value of x becomes

$- 2 - 13.7113i$

where i stands for

$\sqrt{ - 1}$