Examine the following quadratic equations.
i. x^2−4x+5=0
ii. x^2−5x+14=0
iii. 2x^2−8x+5=0
a: which statements are true about the solutions to the quadratic equations?
b: which statements are true about the factors of the related quadratic expressions?
there may be more than one correct answer for each question. select all correct answers for each question.
a: the solutions to x^2−5x+14=0 are x=52−31√2i or x=52+31√2i.
a: the solutions to x^2−4x+5=0 are x=2 or x=−2.
a: the solutions to 2x^2−8x+5=0 are x=32−−√ or −32−−√.
b: the quadratic expression x^2−4x+5 has two complex factors, (x−2+i) and (x−2−i).
b: the quadratic expression 2x^2−8x+5 has two real factors, (x+2+6√2) and (x+2−6√2).
b: the quadratic expression x^2−5x+14 has one complex factor, (x−i31−−√).