X+y =-42and xy =441 then find x and y
Answers
Answered by
2
Step-by-step explanation:
x+y=(-42)
(-21) + (-21) = (-42)
xy=441
(-21)*(-21)=441
Hope it helps!!
Answered by
5
Given,
x + y = -42 ----------------- eq 1
xy = 441
To find x,y
We know that (x+y)²=x²+y²+2xy
(-42)² = x² + y² + 2(441)
1764 = x²+y²+882
1764-882 = x²+y²
882 = x²+y²
From this we can find (x-y)²
x²+y²-2xy=(x-y)²
882-2(441)=(x-y)²
0=(x-y)²
(x-y) =0 -----------------eq 2
x+y = -42
x-y = 0
_______
2x= -42
________
x= -21
Substuite in eq 1
-21+ y = -42
y = -21
There for2 required values of x,y are -21,-21
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