If the sum of two numbers is 14 and multiplication is 40 , then find their difference.
in Mathematics
2 views
1 Vote
1 Vote
If the sum of two numbers is 14 and multiplication is 40 , then find their difference.
in Mathematics
by
7.2k Points

1 Answer

1 Vote
1 Vote
 
Best Answer

Solution

Let the numbers are $x$ and $y$.

$\therefore \quad$ From the question,

$$

\begin{array}{r}

x+y=14 \\

x y=40

\end{array}

$$

We know that

$$

\begin{aligned}

&(x-y)^{2}=(x+y)^{2}-4 \times y \\

\Rightarrow &(x-y)^{2}=(14)^{2}-4 \times 40 \\

\Rightarrow &(x-y)^{2}=196-160 \\

\Rightarrow &(x-y)^{2}=36 \\

\therefore & x-y=\sqrt{36}=6: \text { Ans. }

\end{aligned}

$$

by
7.2k Points

Related Questions

Categories

2.1k Questions

1.8k Answers

0 Comments

17 Users