Question

find X and y 1/4-x/100-y%​

Answer 1

Answer:

xy=200—equation 1

x=200/y

x-y=100—equation 2

putting the value of x in equation 2

=>x-y=100

=>200/y - y=100

=>200-y²/y=100

=>200-y²=100y

=>-y²-100y+200=0

=>y²+100y-200=0(taking — common)

Now,

a=1; b=100; c=-200

Y= {-b+√(b²-4ac)}/2a

= {-100+√(100²-4×1×-200)}/2×1

={-100+√(10000+800)}/2

=(-100+√10800)/2

=(-100+60√3)/2

=20(-5+3√3)/2

=10(-5+3√3)

=+- 30√3–50

So the value of y is +30√3–50 or -30√3-50

Putting the value of y in equation 1

xy=200

x=200/y

x=200/(30√3–50) or 200/(-30√3-50)

=200/2(15√3–25) or 200/2(-15√3–25)

=100/(15√3–25) or 100/(-15√3–25)

So the value of x is 100/(15√3–25) or 100/(-15√3–25)

Step-by-step explanation: