the sum of square of two consecutive numbers is 244 . find the number
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let number be a
then a²+ (a+2)²=244
a²+a²+4a+4=244
2a²+4a+4-244=0
2a²+4a-240=0
a²+2a-120
x= (-b±√b²-4ac)/2a
a=(-2±√(4+480))/2
a=-2±22/2
a=22-2/2 and a=-22-2/2
a=20/2 and a=-24/2
a=10 and a=-12
two consecutive number may be 10 and12 or -10 and -12
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