How to find the value of two numbers if their sum and product are given?
Answers
Answered by
1
let Two numbers are x and y
and their Sum=16
product=55
Our two equations are:
x+y=16(1)(1)x+y=16
xy=55(2)(2)xy=55
Rewriting equation (1) in terms of just y=y=something, we get:
y=16−xy=16−x
Substituting this into equation (2) leaves us:
x(16−x)=55x(16−x)=55
16x−x2=55⟹x=5 or 1116x−x2=55⟹x=5 or 11
which can be easily seen by factoring or using the quadratic formula. It follows that y=11|x=5y=11|x=5 and y=5|x=11y=5|x=11.
Thus your solutions in terms of (x,y)(x,y) are (5,11)(5,11) and (11,5)(11,5).
and their Sum=16
product=55
Our two equations are:
x+y=16(1)(1)x+y=16
xy=55(2)(2)xy=55
Rewriting equation (1) in terms of just y=y=something, we get:
y=16−xy=16−x
Substituting this into equation (2) leaves us:
x(16−x)=55x(16−x)=55
16x−x2=55⟹x=5 or 1116x−x2=55⟹x=5 or 11
which can be easily seen by factoring or using the quadratic formula. It follows that y=11|x=5y=11|x=5 and y=5|x=11y=5|x=11.
Thus your solutions in terms of (x,y)(x,y) are (5,11)(5,11) and (11,5)(11,5).
Similar questions