Let z=6-7i and z^2=a+bi. what are the values of a and b ?

The values are

a = -13

b = -84

Step-by-step explanation:

Given:

z=6-7i and

To Find:

a = ?

b = ?

Solution:

Z is Complex Number consist of Real part and Imaginary part

We have

Using the identity we get

i² = -1

∴

Now on comparing with    equation we get

a = -13

b = -84

step-by-step explanation:

why? because i noticed a pattern. 60 120. those numbers without the zero, make the 6 times tables leaving your answer to be b since 6 times 4 is 24 and adding a zero making it 240.