EQUANG QUADRATIC

Question

EQUATIONS
17. Rewrite each expression using i.
a. V-100
b. V-75
18. List all words from the box that describe each given number.
natural number
whole number
Integer
rational number
irrational number
real number
imaginary number
complex number

a. -2i
b. 18.025
c. V19
19. Eugene is asked to find the solution to the equation x2 + 3x - 5 = 3x + 4.
a. When re-arranged, what is the equation that Eugene needs to solve to find the root
b. What is the factored form of the equation that Eugene needs to solve?
c. What are the solutions to this equation?

Answer 1

17.
a. √-100 = 10i
b. √-75 = 5√3i

18.
a. -2i: imaginary number, complex number
b. 18.025: rational number, real number
c. √19: irrational number, real number

19.
a. x2 + 3x - 5 = 3x + 4 can be rearranged to x2 + 3x - 3x - 5 - 4 = 0, which simplifies to x2 - 9 = 0.
b. Factored form of the equation is (x+3)(x-3) = 0.
c. The solutions are x = -3 and x = 3.