9 is added to the product of two consecutive multiples of 6 gives 625. what are the numbers?
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Step-by-step explanation:
Let the multiples of 7x&7(x+1)
(7x)
2
+(7(x+1))
2
=637
⇒49x
2
+49(x+1)
2
=637
⇒x
2
+(x+1)
2
=13
⇒x
2
+x
2
+1+2x−13=0
⇒2x
2
+2x−12=0
⇒x
2
+x−6=0
⇒(x+3)(x−2)=0
so x=-3 or x=2
no s= -14,-21 no s=14,21
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