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What is the value of x at the intersecti...

What is the value of x at the intersection of `y=8/((x^(2)+4)) and x+y=2`?

A

0

B

1

C

2

D

-1

Text Solution

Verified by Experts

The correct Answer is:
A
Given equation are
` y= 8/(x^(2) +4) and x+y=2`
Putting value of y from 1st equation into second equation .
` x+ 8/(x^(2+4))=2`
` rArr x^(3) + 4x + 8 = 2x^(2) + 8 `
` rArr x^(3) - 2x^(2) + 4x = 0 `
`rArr x(x^(2) - 2x + 4)=0`
`rArr x=0" "` [The other value of x is not real]
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