10 (a) Find the complex number z satisfying the equation z* + 1 = 2iz, where z* denotes the complex conjugate of z. Give your answer in the form x + iy, where x and y are real.[5] (b) (i) On a sketch of an Argand diagram, shade the region whose points represent complex ...
Letzbe a complex number andi=√−1then the number of common points which satisfyarg(z−1−i)=π6andarg(z−1−iz+1−i)=π2is 05:51 View Solution Ifz=(1+i√3)24i(1−i√3)is a complex number then a.arg(z)=π4b.arg(z)=π2c.|z|=12d.|z|=2 ...
This is the trigonometric form of a complex number where ( |z|) is the modulus and ( θ ) is the angle created on the complex plane.( z=a+bi=|z|((cos)(θ )+i(sin)(θ )))The modulus of a complex number is the distance from the origin on the complex plane.( |z|=√(a^...
Find the modulus and argument of the complex numbers : (i) (1+i)/(1-i... 03:34 Find the conjugate of ((3-2i)(2+3i))/((1+2i)(2-i)). 05:47 Solve: sqrt(5)x^(2) + x + sqrt(5) = 0 03:56 Solve x^2+x+1=0. 03:26 Convert of the complex number in the polar ...
解析 Raise each side of the equation to the ( 3/2)power to eliminate the fractional exponent on the left side. ( (((x-3))^(2/3)))^(3/2)=± ((9))^(3/2)) Solve the equation for ( x). ( x=30,-24) 反馈 收藏
Let us start with the complex number c =a +bi where a and b are real (b =0)and attempt to find an explicit representation for its square root.Of course,every complex number (other than 0)will have two square roots.If w is one square root,then the other one will be −w .We...
De Moivre's Theorem For Complex Number:De Moivre's formula is also known as the theorem and identity of de Moivre, says that it is true for any real number {eq}x{/eq} and integer {eq}n{/eq} . {eq}{{\left( \cos x+i\sin x \...
Find the roots of each complex number. Write the roots in polar form. The two square roots of {eq}36(\cos 100^{\circ} + i \sin 100^{\circ}) {/eq} De Moivre's Theorem: A key mathematical formula that connects complex n...
Learn the definition of conjugate, conjugate of complex numbers, conjugate of a matrix along with formulas and examples, here at BYJU’S today!
百度试题 结果1 题目For complex number, name the complex conjugate. Then find the product.12-23 相关知识点: 试题来源: 解析 12+23; (25)(36) 反馈 收藏