Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 541963: The question from my book says that "the radicand of the quadratic formula, b^2 - 4ac, can be used to determine whether has solutions that are rational, irrational, or not real numbers." I haven't been able to solve the problem on this website because it's saying that the first coefficient is zero. It's also asking me to explain how this works. And if it possible to determine the kinds of answers that one will obtain to a quadratic equation without actually solving the equation. I would greatly appreciate any help I can get.
Click here to see answer by josmiceli(19441)  |
Question 542089: If I had a question like this: f(x)= 2(x-4)^2-2, what would I have to do with the 2 left of the parentheses? I understand how to do the rest, I had only forgotten what I was supposed to do with that. Please help =)
Click here to see answer by Alan3354(69443)  |
Question 542571: Solve the equation by making an appropriate substitution.
x-512-16sqrtx=0
here is what I have tried:
x^1-16x^1/2-512
(x^1/2)^2-16^1/2-512
subsitute x for u
u^2-16u-512
factor (I cannot find a factor for this problem so I divide everything by 2)
u^2-8u-256
using the formula
8 +-sqrt8^2-4(1)(256)/2(1)
8 +-sqrrt1088 / 2
reduced
4+12sqrrt17, 4-12sqrrt17
my answer choices are
{768}
{2068}
{1024}
{512}
Click here to see answer by Earlsdon(6294) |
Question 543688: Solve this problem by completing the square show your work: 3x^2 - 12x + 11 = 0
This is what I have done:
3(x^2 - 4x + 4) = -11
3(x^2 - 4x + 4) = -11 + 12
3(x^2 - 4x + 4) = 1
(x^2 - 4x + 4) = 1/3
(x - 2)^2 = 1/3
(x - 2) = (1/3)^1/2
x = 2 +- (1/3)^1/2
But the answer in the back oh my book reads x = 2 +- (square root of 3) / 3
Click here to see answer by Earlsdon(6294) |
Question 544108: Use the quadratic formula to solve the equation.
5x^2 + 12x + 3 = 0
here is what I have tried
5x^2+12x=-3
12/2 = 6^2 = 36
5x^2+12x+36=-3+36
5x^2+12x+36=33
factor
5(x+6)(x+6)=33
5(x+6)^2=33
5x+180=33
5x=-147
5x/5=-147/5
I am lost from here
Click here to see answer by richwmiller(17219)  |
Question 544834: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
8x2 + 2x + 4 = 0 (Points : 10)
Two different irrational solutions
Two different imaginary solutions
Exactly one rational solution
Two different rational solutions
Click here to see answer by stanbon(75887) |
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