Question

the sum of the sq.of two consecutive odd positive integer is 394. find the integers

Answer 1

let the ingers x and x+2
so
2xsq.+4+4x=394
xsq. + 2 + 2x = 192

now solve this..
hope it helps you.

Answer 2

Question;-

the sum of the sq.of two consecutive odd positive integer is 394. find the integers

Method of solution;-

let to be first consecutive odd positive(2x+1) and second consecutive odd positive(2x+3)

According to the question;-

(2x+1)²+(2x+3)²=394

4x²+1+4x+4x²+9+12x=394

8x²+16x-384=0

x²+2x-48=0

x²+8x-6x-48=0

x(x+8)-6(x+8)=0

(x+8)(x-6)=0

x=-8 x=6

Again, Hence,


x1=2(6)+1=13

x2=2(6)+3=15

‎‎‎‎‎‎‎‎Conclusion ;- 13 and 15 are required consecutive odd Integers.


Thanks!!