Question

if x+y =10 and xy=5 then the value of x/y+y/x?​

Answer 1

Answer:

hey mate!

Step-by-step explanation:

===================

x+y=10-----(1)

xy=5------(2)

dividing (1) by(2)... we get!

x/y+ y/x=10/5

=>2

ans

mark as brainlesit!

thanks!!

Answer 2

Answer:

The value of $\frac{x}{y}+\frac{y}{x}=18$

Step-by-step explanation:

Given : If x+y =10 and xy=5

To find : The value of $\frac{x}{y}+\frac{y}{x}$

Solution :

First we try to simplify the value by taking LCM

$\frac{x}{y}+\frac{y}{x}$

$=\frac{x^2+y^2}{xy}$ ......(A)

Now, We have xy=5 ...(1)

We find $x^2+y^2$ by squaring x+y=10

$(x+y)^2=10^2$

$x^2+y^2+2xy=100$

Substitute the value of (1)

$x^2+y^2+2(5)=100$

$x^2+y^2=100-10$

$x^2+y^2=90$ ....(2)

Substitute (1) and (2) in equation (A)

$=\frac{x^2+y^2}{xy}$

$=\frac{90}{5}$

$=18$

Therefore, The value of $\frac{x}{y}+\frac{y}{x}=18$