if x+y= 13 and xy = -14 find (x-y)
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Step-by-step explanation:
squaring both sides we get
(x+y)² = (13)²
x²+y²+2xy = 169
putting value of xy as -14
x²+y²+2(-14)=169
x²+y²-28=169
x²+y²=197
to get x²+y² we can also write it as
(x+y)²-2xy = 197
adding -2xy on both sides we get,
(x+y)²- 4xy = 197-2xy
x²+y²+2xy-4xy = 197-2(-14)
x²+y²-2xy = 197 + 28
(x-y)² = 225
x-y = root225
x-y = 15
hope it helps.......
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