Posted by Kristen on Monday, February 4, 2013 at 9:21pm.
I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great.
1. Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots.
x^24x=5
a.) Two rational roots
b.) one repreated root
c.) two complex roots
d.) two irrational roots.
2.Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots.
3x^3+19x20=0
a.) Two rational roots
b.) one repreated root
c.) two complex roots
d.) two irrational roots.
3. Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots.
5x^27x5=0
a.) Two rational roots
b.) one repreated root
c.) two complex roots
d.) two irrational roots.
4. Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots
x^212=7x
a.) Two rational roots
b.) one repreated root
c.) two complex roots
d.) two irrational roots.

College Algebra  Reiny, Monday, February 4, 2013 at 11:11pm
All these are based on the following concept (should be in your text)
for ax^2 + bx + c = 0
if b^2  4ac < 0 there are two imaginary or complex roots
if b^2  4ac = 0 , there is one root, (one repeated root)
if b^2  4ac > 0 , there are two distinct and real roots
if for the last case, b^2  4ac is a perfect square, then the two real roots will be rational, otherwise they are irrational.
in each case, evaluate b^2  4ac and decide where it fits in
remember to arrange the equation in the proper form
I will do #4
x^2  12 = 7x
x^2  7x  12 = 0 , a=1, b=7 , c= 12
b^2  4ac
= 49  4(1)(12) = +97
so we will have 2 irrational roots
Answer This Question
Related Questions
 College AlgebraStill Confused  I have a few problems I need help with and ...
 algebra  What would be the discriminant for this equation: x^22x+12=0 How many...
 College Algebra  I have a few more questions that I'm not understanding. Its ...
 College Algebra  I have a few more questions that I'm not understanding. Its ...
 College Algebra  I need some help with a few problems. They are multiple choice...
 physics  Hi, my teacher doesn't teach us too well and we have a few packets to ...
 Algebra  I have a few more questions that I either need help with or just need ...
 math  kx^2 + (k+2)x 3 =0 has roots which are real and positive. Find the ...
 Excel  I have to create a payroll document for class using Excel and I am quite...
 History  Hi I need some help with my history homework I have answer all of the ...
More Related Questions