Math Chapter Wise question with answer

Q01 if α, β are real numbers and β ≠ 0 and α + iβ is a root of the equation x3 + qx2 + r = 0, then one of the roots is English · UP PCS (Pre) 2007 Q02 The value of 'a' for which one root of the quadratic equation (a² – 5a + 3)x² + (3a – 1)x + 2 = 0 is twice as large... English · EMRS PGT-2023 Q03 If one root of the equation (x − 4)(x − 6) = p is four times the other, then p equals to: English · NVS PGT 2022 Q04 If one root of the equation ax² + bx + c = 0 is 3 − 4i, then 31a + b + c = ________. English · OAVS TGT 2022 Q05 One non zero root of the equation (((()))) 2 x 3x 2 2 8 = English · DSE TGT 2022 Q06 If one root of any equation is (2 – 3i) (where i = –1), then what is the equation? English · DSSSB PGT 2021