If x + y = 12 and xy = 14 , find the value of (x square + y square)
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Answer:
x²+y² = 116
Step-by-step explanation:
Given x+y=12 ---(1)
xy = 14 ------(2)
On Squaring both sides of equation (1) ,we get
(x+y)²= 12²
=> x²+2xy+y² = 144
=> x²+y² +2×14=144
/* From (2)*/
=> x²+y²+28 = 144
=> x²+y² = 144-28
=> x²+y² = 116
Therefore
x²+y² = 116
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