find two numbers with sum 4 and product 2.
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Find two numbers
Class 10th
Kerala Board Mathematics Part-1
4. Second Degree Equations
Answer
Let the numbers be x and y.
According to the question
x + y = 4
= y = 4 – x ---- (1)
xy = 2 ---- (2)
by (1) and (2)
x(4–x) = 2
4x – x2 = 2
x2 – 4x + 2 = 0
We can use the formula
x = 2 + √(2) , 2 – √(2)
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