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−−√).

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.