Quadratic EquationsMathematics

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Question 1
EasyJEE

Thenatureofrootsofx2+2x+5=0is:The nature of roots of x^{2} + 2x + 5 = 0 is:

A. Complex
B. Real and unequal
C. Real and equal
D. Rational
Question 2
MediumJEE

Ifα,βarerootsofx24x+1=0,thenα2+β2=If α,β are roots of x²-4x+1=0, then α²+β² =

A. 14
B. 16
C. 12
D. 8
Question 3
MediumJEE

Thevalueofkforwhichtheequation2x23x+k=0hasreciprocalrootsis:The value of k for which the equation 2x²-3x+k=0 has reciprocal roots is:

A. 2
B. 2-2
C. 3
D. 3-3

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