You didn't say 10+12i or 10-12i
In the case of (10+12i), you would have a point in the xy plane @ x=10 and y=12
or (10,12)
In the case of (10-12i), you would have a point in the xy plane @ x=10 and y=-12
or (10,-12)
There are programs to "bend" photos with complex numbers.
Refer to the LINK and Source below.
The absolute value of a complex number ( a + bi ) is calculated using the formula ( \sqrt{a^2 + b^2} ). For the complex number ( 9 + 12i ), the absolute value is ( \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15 ). Therefore, the absolute value of ( 9 + 12i ) is 15.
It seems like your question is incomplete or unclear. If you're asking about "12i" in a mathematical or complex number context, "12i" represents a purely imaginary number where "i" is the imaginary unit (the square root of -1). If you meant something else or need further clarification, please provide more details!
The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. The above is a complex number, which I suspect is not the answer you wanted; there is no real number that is the square root of a negative number If you wanted the negative square root of 144, then it is -12.
The complex conjugate of a+bi is a-bi. This is written as z* where z is a complex number. ex. z = a+bi z* = a-bi r = 3+12i r* = 3-12i s = 5-6i s* = 5+6i t = -3+7i = 7i-3 t* = -3-7i = -(3+7i)
Yes.
To find the complex conjugate of a number, change the sign in front of the imaginary part. Thus, the complex conjugate of 14 + 12i is simply 14 - 12i.
The absolute value of a complex number ( a + bi ) is calculated using the formula ( \sqrt{a^2 + b^2} ). For the complex number ( 9 + 12i ), the absolute value is ( \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15 ). Therefore, the absolute value of ( 9 + 12i ) is 15.
It seems like your question is incomplete or unclear. If you're asking about "12i" in a mathematical or complex number context, "12i" represents a purely imaginary number where "i" is the imaginary unit (the square root of -1). If you meant something else or need further clarification, please provide more details!
The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. The above is a complex number, which I suspect is not the answer you wanted; there is no real number that is the square root of a negative number If you wanted the negative square root of 144, then it is -12.
The complex conjugate of a+bi is a-bi. This is written as z* where z is a complex number. ex. z = a+bi z* = a-bi r = 3+12i r* = 3-12i s = 5-6i s* = 5+6i t = -3+7i = 7i-3 t* = -3-7i = -(3+7i)
Negative numbers have no real square roots.-144 has two square roots: 12i and -12i.
Yes.
Not necessarily, take for example the equation x^2=5-12i. Then, 3-2i satisfies the equation. However, 3+2i does not because (3+2i)^2 = 5+12i.
|5 + 12i| = +sqrt(52 + 122) = +sqrt(25 + 144) = +sqrt(169) = 13
The multiplicative inverse of a complex number is found by taking the complex conjugate of the number and dividing by the square of its magnitude. For the complex number 3-i, the complex conjugate is 3+i. The magnitude of 3-i is sqrt(3^2 + (-1)^2) = sqrt(9 + 1) = sqrt(10). Therefore, the multiplicative inverse of 3-i is (3+i) / 10.
This is a complex number, not an algebraic expression. The letter i represents the imaginary unit (which is equal to sqrt(-1)). Graphiclly, with real numbers on a horizontal axis, and imaginary numbers on a vertical axis, this means starting at the origin, go to the left 5 units, and then go down 12 units.
12i=1f.