If one root of the equation is √3 + 2, form the equation.
(a)x² - 2√3 – 1=0
(b)x²-3x+1=0
(C)x²-5x+1=0
(d)x² - 4x+1=0
Answers
Answered by
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One root of the equation is given as
And we are asked to find the equation.
The concept that we are supposed to apply here is that :-
irrational roots always found in conjugate pairs.
hence, the second root of this equation will be :-
Now, we can easily find the equation by using the following formula:-
Let's calculate the sum of roots :-
Now, calculate the product of roots :-
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