If one root of equation z 2-11- i z - k -3 i -0 is 3 -Find the other root- K - ZA- 8- iB- 5-iC- 5- iD- 8 - i

The correct option is A 8 + i Let the roots of the equation be α amp; β. Sum of the root of quadratic equation α + β = ( b)/a 3 + β = 11 + i ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Sum and Product of Roots of a Quadratic Equation

If one root o...

Question

If one root of equation $z^{2}$ - (11 + i)z + k +3i = 0 is 3.Find the other root. K $ϵ$ Z

8 + i

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5 + i

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 - i

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 - i

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
8 + i

Let the roots of the equation be $α$ & $β$ .

Sum of the root of quadratic equation $α$ + $β$ = $\frac{(- b)}{a}$

3 + $β$ = 11 + i

$β$ = 8 +i.

Suggest Corrections

Similar questions

Let Z be a complex Numbers satisfying the equation $z^{2}$ - (11 + i) z+k+3i = 0 where k $ϵ$ R and i = $\sqrt{(- i)}$ , suppose equation has one real and one non-real root. Find the non-real root.

Q. Let

z

be a complex number satisfying the equation

z^{2} - (3 + i) z + m + 2 i = 0,

where

m \in R .

Suppose the equation has a real root. The additive inverse of non-real root, is

Q. Find k if one root of the equation

x^{2} - 6 k x + 8 = 0

is twice the other

Q. Assertion :A quadratic equation has a root

8 - 3 i

, then sum of roots of the quadratic equation is

16

. Reason: If one root of the quadratic equation

a x^{2} + b x + c = 0

(a \neq 0, a, b, c \in R)

8 - 3 i

, then other root has to be

8 + 3 i

Q. If 2 + i is a root of the equation

x^{3} - 5 x^{2} + 9 x - 5 = 0

, then the other roots are

Join BYJU'S Learning Program

If one root of equation z2 - (11 + i)z + k +3i = 0 is 3.Find the other root. K ϵ Z

The correct option is A 8 + i Let the roots of the equation be α & β. Sum of the root of quadratic equation α + β = (−b)a 3 + β = 11 + i β = 8 +i.

If one root of equation $z^{2}$ - (11 + i)z + k +3i = 0 is 3.Find the other root. K $ϵ$ Z

The correct option is A
8 + i

Let the roots of the equation be $α$ & $β$ .

Sum of the root of quadratic equation $α$ + $β$ = $\frac{(- b)}{a}$

3 + $β$ = 11 + i

$β$ = 8 +i.