2) Find the quadratic equation, if one of the roots is √5-√3
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Answer:
The quadratic equation is x²+2(√3+√5)x+ (8-2√15)
Solution: A quadratic equation is an algebraic expression of the second degree in x. c is the constant term. Therefore, the product of the roots is -4.
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one root =2−
5
another root =2+
5
x
2
(4)x+(4−5)=0
x
2
−4x−1=0
solution
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