Algebra-1

To find the result of multiplying the complex number (-2 + 5i) by its conjugate, we first identify the conjugate of (-2 + 5i).

Step 1: Find the Conjugate

The conjugate of a complex number is obtained by changing the sign of its imaginary part. A complex number is typically written in the form:

a + bi

where (a) is the real part and (b) is the imaginary part. The conjugate is given by:

a - bi

 

The conjugate of (-2 + 5i) is:

-2 - 5i

 

Step 2: Multiply the Complex Number by Its Conjugate

Now, we will multiply (-2 + 5i) by (-2 - 5i):

(-2 + 5i)(-2 - 5i)

 

Using the formula for multiplying conjugates,