The-sum-of-the-squares-of-two-consecutive-odd-numbers-is-130-Find-the-larger-number-

Question Number 137645 by mey3nipaba last updated on 05/Apr/21

T h e s u m o f t h e s q u a r e s o f t w o c o n s e c u t i v e

o d d n u m b e r s i s 130 . F i n d t h e l a r g e r n u m b e r .

Answered by bemath last updated on 05/Apr/21

x^{2} + {(x + 2)}^{2} = 130

2 x^{2} + 4 x - 126 = 0

x^{2} + 2 x - 63 = 0

(x + 9) (x - 7) = 0

{\begin{cases} x = 7 \\ x + 2 = 9 (t h e l a r g e r n u m b e r) \end{cases}

Commented by mey3nipaba last updated on 05/Apr/21

y e a h . t h a n k s s o m u c h