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1 vote
Write a Quadratic equation if the roots are: 2-
√(3) and
(1)/(2-√(3) )

User Mabalenk
by
8.4k points

1 Answer

6 votes

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Answer:

x² -4x +1 = 0

Explanation:

For roots p and q, the factored form of the equation is ...

(x -p)(x -q) = 0

The expanded form of this is ...

x² -(p+q)x +pq = 0

So, we can find the coefficients of the quadratic by finding the sum and product of the factors.

-b = (2 -√3) + 1/(2 -√3) = (2 -√3) +(2 +√3)/((2-√3)(2+√3)) = 4

c = (2 -√3)/(2 -√3) = 1

So, the quadratic is ...

x² -4x +1 = 0

User Larron
by
8.2k points

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