Home › CBSE Class 11 (Commerce) › Mathematics › Complex Numbers and Quadratic Equations › Find the roots of x^2 - 2x + 5 = 0.
Find the roots of x^2 - 2x + 5 = 0.
A1 plus or minus i
B-1 plus or minus 2i
C1 plus or minus 2i
D2 plus or minus i
Answer & Solution
Correct answer: C. 1 plus or minus 2i
x = (2 plus or minus root(4 - 20))/2 = (2 plus or minus 4i)/2 = 1 plus or minus 2i.
Related questions
If x is real and |x + 3i| = 5, which values can x take?Which property explains why (2 + 3i)(1 − i) equals (1 − i)(2 + 3i)?Because complex numbers obey the usual associative, commutative and distributive laws, whaWhat is the real part of the reciprocal of a + ib (not both zero)?If z = −z̄ for a complex number z, which statement is correct?If a complex number z equals its own conjugate, what kind of number is z?For z = a + ib, the sum z + z̄ equals what?Taking the conjugate of the conjugate of z gives which result?