Question

Find the value of x minus y when x + y is equal to 9 and x y is equals to 14

Answer 1

Answer:

here is it answer , hope it will help u

Answer 2

x+y=9….1

xy=14
Therefore, y=14…2
x

Substituting value of y in equation 1
Therefore,
x+y=9
x+14/x=9

Taking LCM
x^2+14=9x
x^2-9x+14=0
Solving the quadratic equation by factorisation we get
x2-7x-2x+14=0
x(x-7)-2(x-7)=0
Therefore
(x-2)(x-7)=0
x-2=0 or x-7=0
x=2 or x=7

Substituting value of x=2,7 in equation 1

Taking x=2. Taking x=7
x+y=9. x+y=9
2+y=9. 7+y=9
y=9-2. y=9-7
y=7. y=2


Therefore
X-y=2-7
=-5

x-y=7-2
=5

Therefore the solution is (-5,5)