leahchipp06
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Find two integers whose sum is 20 and product Is 100​

Sagot :

Answer: 10

Step-by-step explanation:

10+10 = 20

10 x 10 = 100

mi would do another but i supposed to be in class :P

The two Integers are  [tex]10,10.[/tex]

What is Integer ?

An Integer number that can be written without a fractional component.

We have,

Sum of two Integers [tex]=20[/tex]

Product of two Integers [tex]=100[/tex]

Now,

Let,

One integer [tex]=x[/tex]

Another integer [tex]=y[/tex]

So,

According to the question,

[tex]x+y= 20[/tex]     [tex].....(i)[/tex]

[tex]x*y=100[/tex]

⇒ [tex]x=\frac{100}{y}[/tex]     [tex].....(ii)[/tex]

Now,

Putting value of x in equation (i),

We get,

[tex]\frac{100}{y}+y= 20[/tex]

[tex]100+y^2=20y[/tex]

[tex]y^2-20y+100=0[/tex]

Using middle term split method,

[tex]y^2-10y-10y+100=0[/tex]

[tex]y(y-10)-10(y-10)=0[/tex]

[tex](y-10) (y-10)=0[/tex]

We get,

[tex](y-10)=0[/tex] and [tex](y-10)=0[/tex]

So, [tex]y=10[/tex]

Now, putting value of y in in equation (i),

[tex]x+10=20[/tex]

[tex]x=10[/tex]

So, two integers are [tex]10,10.[/tex]

Hence, we can say that the two Integers are  [tex]10,10.[/tex]

To know more about Integers click here

https://brainly.com/question/15276410

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