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1/(2 + 5i) (multiply both the numerator and the denominator by 2 - 5i)
= 1(2 - 5i)/(2 + 5i)(2 - 5i)
= (2 - 5i)/(4 - 25i2) (substitute -1 for i2)
= (2 - 5i)/(4 + 25)
= (2 - 5i)/29
= 2/29 - (5/29)i
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What is a number written in the form a plus bi is called a what number?
It is called a complex number.
Is a complex number a number that can be written in the form a plus bi where a and b are real numbers?
Yes, a+bi is standard form for a complex number. The numbers (a) and (b) are both real and i is √(-1)
What is the reciprocal of a plus bi if a2 plus b2 equals 1?
The reciprocal of a + bi is a - bi:1/(a + bi) since the conjugate is a - bi:= 1(a - bi)/[(a + bi)(a - bi)]= (a - bi)/[a2 - (b2)(i2)] since i2 equals to -1:= (a - bi)/(a2 + b2) since a2 + b2 = 1:= a - bi/1= a - bi
A complex number is a number of the form a plus bi where?
"a + bi" is a common way to write a complex number. Here, "a" and "b" are real numbers.Another common way to write a complex number is in polar coordinates - basically specifying the distance from zero, and an angle.
Express the square root-48 plus 35 plus square root 25 plus square root-27 in simplest a plus bi form?
√-48 + 35 + √ 25 + √-27 = √[(i2)(16)(3)] + 35 + 5 + √[(i2)(9)(3)] = 4i√3 + 38 + 9i√3 = 38 + (13√3)i
What is the standard form of negative square root of 5i?
The standard form of a complex number is a+bi. So the standard form of the negative square root of 5i is 0-√(5i).
What is the reciprocal of 2-5i?
Let a + bi be the reciprocal. So (a + bi)(2 - 5i) = 1 (a + bi)(2 - 5i) = 2a - 5ai + 2bi + 5b = (2a + 5b) + (2b - 5a)i Therefore 2a + 5b = 1 and 2b - 5a = 0. Solving the simultaneous equations, we find that a = 2/29 and b = 5/29. So the reciprocal of 2 - 5i is 2/29 + 5i/29.
Write the complex number 2 - i divided by 5 plus i in the usual a plus bi form?
7
What is a number that can be written in the form a plus bi where a and b are real numbers?
A number of the form (a + bi) is a complex number.
A number written in the form a plus bi is called a number?
complex
What is a number written in the form a plus bi is called a what number?
It is called a complex number.
Is a complex number a number that can be written in the form a plus bi where a and b are real numbers?
Yes, a+bi is standard form for a complex number. The numbers (a) and (b) are both real and i is √(-1)
The complex conjugate of a plus bi is?
a-bi a(bi)-1 not negative bi
What is a number of the form a plus bi where a is the real part and b is the imaginary part?
a complex number
Find the reciprocal of the complex number 3 plus 2i Give your answer in the usual a plus bi form?
It is 3/13 - 2/13*i
What is the reciprocal of a plus bi if a2 plus b2 equals 1?
The reciprocal of a + bi is a - bi:1/(a + bi) since the conjugate is a - bi:= 1(a - bi)/[(a + bi)(a - bi)]= (a - bi)/[a2 - (b2)(i2)] since i2 equals to -1:= (a - bi)/(a2 + b2) since a2 + b2 = 1:= a - bi/1= a - bi
Give the three address code of the expression a equals bi plus cj?
plus a, bi, cj
