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-

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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) =

Open in App

Solution

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

Suggest Corrections

Similar questions

Q. If

z_{1}, z_{2}, z_{3}

are any three roots of the equation

z^{6} = (z + 1)^{6},

then

arg (\frac{z_{1} - z_{3}}{z_{2} - z_{3}})

can be equal to

Q. If

z_{1}, z_{2}, z_{3}

are any three roots of the equation

Z^{6} = {(z + 1)}^{6}

, then

a r g (\frac{z_{1} - z_{3}}{z_{2} + z_{3}})

can be equal to-

If $z_{1}$ , $z_{2}$ , $z_{3}$ are any three roots of the equation $z^{6} = (z + 1)^{6}$ , then $a r g (\frac{z_{1} - z_{3}}{z_{2} - z_{3}})$ can be equal to

Q. If

z_{1}, z_{2}, z_{3}, z_{4}, z_{5}

are roots of the equation

z^{5} + z^{4} + z^{3} + z^{2} + z + 1 = 0

, then the value of

∣ ∣ ∣ ∣ 5 \sum i = 1 z_{i}^{4} ∣ ∣ ∣ ∣

Q. If

z_{1}

z_{2}

and

z_{3}

are three distinct complex numbers such that

\frac{1}{∣ z_{1} - z_{2} ∣} = \frac{3}{∣ z_{2} - z_{3} ∣} = \frac{5}{∣ z_{1} - z_{3} ∣}

, then the value of

\frac{1}{z_{1} - z_{2}} + \frac{9}{z_{2} - z_{3}} + \frac{25}{z_{3} - z_{1}}

Join BYJU'S Learning Program

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