If 1-2 i is one of the roots of the equation x4-3 x3-8 x2-7 x-5-0 and z 1- z 2- z 3 are other three roots then Rez 1-z 2-z 3-

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Standard XII

Mathematics

Existence of Limit

If 1+2 i is o...

Question

If (1+2i) is one of the roots of the equation x⁴-3x³+8x²-7x+5=0 and z1,z2,z3 are other three roots then Re(z1+z2+z3) =

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Solution

z1+z2+z3+1+2i = -b/a
z1+z2+z3=3-1-2i
re(z1+z2+z3)=2

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If (1+2i) is one of the roots of the equation x⁴-3x³+8x²-7x+5=0 and z1,z2,z3 are other three roots then Re(z1+z2+z3) =

z1+z2+z3+1+2i = -b/a z1+z2+z3=3-1-2i re(z1+z2+z3)=2

z1+z2+z3+1+2i = -b/a
z1+z2+z3=3-1-2i
re(z1+z2+z3)=2