SKDP PC UNIT TEST COMPLEX NUMBERS

Simplify:  $4xi+5yi^8+6xi^3+2yi^4$  
Do not type spaces in your answer.

Simplify

 $\left(4+7i\right)^2$  
Do not type spaces in your answer.

Simplify

 $12i^6-7i^8$  
Do not use spaces in your answer.

The voltage in a circuit is 35 + 12i volts and the impedance is 4 + 5i ohms. By using the formula E = I • Z described in question 1, find the current.

• $\frac{200}{41}+\frac{127}{41}i$

• $\frac{200}{41}-\frac{127}{41}i$

• $35+12i$

• $\frac{80}{41}-\ \frac{127}{41}i$

Simplify.

 $\frac{5+4i}{3+2i}$  

• 5+i

•  $\frac{23}{13}+\frac{2}{13}i$  

•  $\frac{5}{3}+2i$  

• 2i

When using the quadratic formula, if b2 − 4ac = 0, then the equation:

• Has two separate real solutions

• Has one real solution

• Has only non-real solutions

What is |-6+i|

• 35

• 37

• $\sqrt{35}$

• $\sqrt{37}$

Suppose D = −2.85. What is the number of real solutions to this quadratic equation?

• Two real solutions

• One real sollution

• No real solutions

Given 'a', 'b', and 'c' are rational numbers with 'a' not equal to zero, and the discriminant is a perfect square, the roots will be

• Rational and equal

• Rational and unequal

• Irrational and unequal

• Imaginary

Simplify the following expression:

(8 − 3i) + (2 + 5i)

Do not use spaces in your answer.