Root-Coefficent Relationships(3)
2007-11-11 9:10 pm
Given that x2-3x+1=0 has 2 different roots, create a quadrativ equation with roots 1 greater than the corresponding roots of the original equation.
回答 (1)
2007-11-11 9:16 pm
✔ 最佳答案
Let a and b be the roots of the equation x2-3x+1=0a+b = 3, ab = 1
a+1+b+1 = a+b + 2 = 3+2 = 5
(a+1)(b+1) = ab + (a+b) + 1 = 1+3+1 = 5
The equation is x^2 - 5x + 5 = 0
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