(1) The product of a number and 2 more than that is 168, what are the
numbers?
Answers
Answer:
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Let the one number be x and the other number be ( x + 2 ) .
Product of these numbers = 168
\begin{gathered}\sf\Longrightarrow x(x+2) = 168 \\\\\Longrightarrow x^2+2x = 168 \\\\\Longrightarrow x^2+2x+1^2= 168 + 1^2 \ \ \ \ \ \ ( Square \ completion \ method )\\\\\Longrightarrow (x+1)^2 = 169 \\\\\Longrightarrow x+1 = \pm 13 \\\\If \ x+1 = +13 \ ,\bf { \ x = 12} \\\\\sf If \ x+1 = -13 \ , \bf \ x = -14\end{gathered}
⟹x(x+2)=168
⟹x
2
+2x=168
⟹x
2
+2x+1
2
=168+1
2
(Square completion method)
⟹(x+1)
2
=169
⟹x+1=±13
If x+1=+13 , x=12
If x+1=−13 , x=−14
The numbers are 12 and 14 or -12 and -14 .
HOPE IT HELPS U .
Answer:
12,14
Explanation:
let's take number as x, x+2
so x(x+2)=168
x^2+2x-168=0
solve it to get x= 12
so numbers are 12,14
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