9000069904 Level: AFind the factorization of the quadratic polynomial x2+2x+5 in the set of polynomials with complex valued coefficients.(x+1−2i)(x+1+2i)(x−1−2i)(x−1+2i)(x+1−2i)(x−1+2i)(x−1−2i)(x+1+2i)
9000069905 Level: AFind the sum of all the complex solutions of the following quadratic equation. 5x2+4x+8=0−45−410245i0
9000069906 Level: AFind the sum of all the complex solutions of the following quadratic equation. x2−8x+17=0844i0
1003102504 Level: BFind the set of all complex roots of the following quadratic equation. x2+4x+8=0{22(cos3π4+i⋅sin3π4);22(cos5π4+i⋅sin5π4)}{2(cos3π4+i⋅sin3π4);2(cos5π4+i⋅sin5π4)}{22(cosπ4+i⋅sinπ4);22(cos7π4+i⋅sin7π4)}{2(cosπ4+i⋅sinπ4);2(cos7π4+i⋅sin7π4)}
1003102505 Level: BFind the set of all complex roots of the following equation. (x2−2x+5)(x2+6x+10)=0{1±2i;−3±i}{−1±2i;−3±i}{−1±2i;3±i}{1±2i;3±i}
2000001505 Level: BWhich of the numbers below does not satisfy the equation 2x2=−16?8(cosπ+isinπ)22(cosπ2+isinπ2)22(cos(−π2)+isin(−π2))22i
2000001507 Level: BFind the quadratic equation with real valued coefficients and one of the solutions 14i.16x2+1=016x2−1=0x2−14=0x2+14=0
2000001510 Level: BChoose the equation that has the solutions x1=5+i15 and x2=5−i15.x2−10x+40=0x2+10x−40=0x2+10x+15=0x2+15x−25=0
2000001511 Level: BFind the solution set of the equation (2x−2i)(2x+4i)(2x2−4)=0 in the set of complex numbers.{i;−2i;2;−2}{i;−2i}{i;−2i;2i;−2i}{−i;2i;2;−2}