Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 368545: Use polynomial long division to divide
-20x3 – 10x2 – 16x – 8
by
-5x2 – 4
Click here to see answer by Fombitz(32388) About Me 
Question 368554: find vertex, axis of symmetry and the minimum or maximum value
+f%28x%29=%28x%2B3%29%5E2-2+
Click here to see answer by Fombitz(32388) About Me 
Question 368537: 3x²-3x-2=0 a=3 b=-3 c=-2

Click here to see answer by Fombitz(32388) About Me 
Question 368573: find vertex and axis of symmetry
+h%28x%29=2x%5E2-16x%2B25+
Click here to see answer by Fombitz(32388) About Me 
Question 368621: Hello. Can you please help me? It's greatly appreciated.
solve equation by factoring:
3x^2 - 13x -10 thank you!
Click here to see answer by jim_thompson5910(35256) About Me 
Question 368621: Hello. Can you please help me? It's greatly appreciated.
solve equation by factoring:
3x^2 - 13x -10 thank you!
Click here to see answer by stanbon(75887) About Me 
Question 368606: find vertex and axis of symmetry
+g%28x%29=x%5E2%2B5x%2B4+
so far I've done...
+%28x%5E2%2B5%29%2B4+
+%28x%5E2%2B5%2B6.25%29%2B%28-6.25%2B4%29+
+%28x%2B11.25%29%5E2-2.25+
vertex= (11.25, -2.25)
axis of symmetry= 11.25
not sure if my numbers are right!
Click here to see answer by Alan3354(69443) About Me 
Question 368640: Hello. Can you please help me?
I need to find two consecutive even positive integers whose product is 624??
thank you!
Click here to see answer by Alan3354(69443) About Me 
Question 368644: Find an equation of the line containing the given pair of points (3,5) (9,9)
type answer in slope-intercept form
Click here to see answer by rfer(16322) About Me 
Question 368602: Can you please help me factor and find the roots of the equation h=-16t^2+24t
Click here to see answer by dlh(17) About Me 
Question 368684: Car speed. On a sales trip, Mark drives the 600 mi to Richmond averaging a certain speed. The return trip is made at an average speed that is 10 mph slower. Total time for the round trip is 22 hr. Find Mark’s average speed on each part of the trip.
Click here to see answer by stanbon(75887) About Me 
Question 368747: Divide
3 over 3+i
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Question 368879: x2+12x=-20
Click here to see answer by Fombitz(32388) About Me 
Question 368896: Using the 2 solutions and the foil technique, create a quadratic equation.
(x-6) (x-4)
x=6,4
Click here to see answer by robertb(5830) About Me 
Question 368978: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8y + 2x = 48
2x = 4y – 12
Click here to see answer by lefty4ever26(59) About Me 
Question 368683: Solve by factoring.
10t^2 - t - 2 = 0
Click here to see answer by lefty4ever26(59) About Me 
Question 368649: Can you please help me find the vertex and factor the equation of y=-16x^2+24x
so far for factoring it I have y=-8x(2x-3) but I am not sure if I did that right.
Click here to see answer by lefty4ever26(59) About Me 
Question 367246: how u solve nd check 6x-2=2x-1
Click here to see answer by lefty4ever26(59) About Me 
Question 368985: A = Ao(1 – r)2 for r
(A business formula)

That is a small zero at the bottom of the A
Click here to see answer by Fombitz(32388) About Me 
Question 367560: Solving (2x+3)(2x+5)(x-1)(x-2)=30, the roots available are :
Click here to see answer by lefty4ever26(59) About Me 
Question 367560: Solving (2x+3)(2x+5)(x-1)(x-2)=30, the roots available are :
Click here to see answer by Fombitz(32388) About Me 
Question 369036: Y=2(x-1)(x-6)
Click here to see answer by jokaehler(26) About Me 
Question 369077: the roots 2x^2-3x+c=0 are imaginary if c equals
Click here to see answer by jsmallt9(3758) About Me 
Question 369077: the roots 2x^2-3x+c=0 are imaginary if c equals
Click here to see answer by CharlesG2(834) About Me 
Question 369203: quadratic equation.
Solutions: 6, 4
(x-6) (x-4)
Click here to see answer by Alan3354(69443) About Me 
Question 369235: what are rational expressions? Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 – 16). What values in the denominator must we be mindful of? Explain why.
Click here to see answer by lefty4ever26(59) About Me 
Question 369244: Graph the quadratic function f(x)=7(x+1)^2+4: state the ordeed pairs representing the x-intercept and y-intercept (if any) and the vertex or the parabola.
Click here to see answer by stanbon(75887) About Me 
Question 369244: Graph the quadratic function f(x)=7(x+1)^2+4: state the ordeed pairs representing the x-intercept and y-intercept (if any) and the vertex or the parabola.
Click here to see answer by lefty4ever26(59) About Me 
Question 369361: Use the quadratic formula to solve the equation.
x%5E2-5x=-9
Click here to see answer by acalgebra(30) About Me 
Question 369361: Use the quadratic formula to solve the equation.
x%5E2-5x=-9
Click here to see answer by Edwin McCravy(20054) About Me 
Question 369351: Graph y=x^2-1
and graph y=-3x^2
label the vertex and the axis of symmetry
Click here to see answer by Fombitz(32388) About Me 
Question 369317: y=5/4(x-3)^2
Click here to see answer by Fombitz(32388) About Me 
Question 369288: In solving the equation (x + 3)(x – 3) = -8, Eric stated that the solution would be
x + 3 = -8 => x = -11
or
(x – 3) = -8 => x = -5
However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning.
Click here to see answer by Fombitz(32388) About Me 
Question 369437: Area of a rug. Find the trinomial A(x) that represents the area of a rectangle rug whose sides are x + 3 and 2x – 1 feet. Find A(4).
Click here to see answer by mananth(16946) About Me 
Question 369498: Find the largest value of k such that the roots of the equation 2x^2+5x+k=0 are real.
Click here to see answer by Fombitz(32388) About Me 
Question 369498: Find the largest value of k such that the roots of the equation 2x^2+5x+k=0 are real.
Click here to see answer by CharlesG2(834) About Me 
Question 369375: 2x^2-4x=-9 complex
Click here to see answer by Fombitz(32388) About Me 
Question 369534: Without graphing f(x)=x^2-8x+6, find the real zeroes.
Click here to see answer by Fombitz(32388) About Me 
Question 369536: An object is launched straight up into the air at an initial velocity of 64 feet per second. It is launched from a height of 6 feet off the ground. Its height H, in feet, at t seconds is given by the equation H = -16t^2 + 64t + 6. Find all times t that the object is at a height of 54 feet off the ground.
Click here to see answer by ewatrrr(24785) About Me 
Question 369791: I need help with a quadratic problem, I am having trouble with this because it doesn't make sense to me at first.
If b and a are the two roots of x^2-5x+3=0, then what is(a+b)(ab)=?
What I do not understand is, to factor x^2-5x+3=0 the products of 3, have to equal the sum of -5.
But it doesn't work out.
I used an online calculator to figure out the roots are: 5+sqroot(17)/2 and 5-sqroot(17)/2
In order to get the answer of
(a+b)(ab) would I just multiply those?
Help is appreciated, this is on my quiz next week.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 369819: How is factoring used to solve quadratic equations ?
Click here to see answer by robertb(5830) About Me 
Question 370023: solve equation x^2 + 24^2 = 26^2
Click here to see answer by mananth(16946) About Me 
Question 370023: solve equation x^2 + 24^2 = 26^2
Click here to see answer by robertb(5830) About Me 
Question 370127: I've been stuck on this problem for a really long time. I'm trying to figure out a problem reducible to a quadratic equation in a step by step method so I can understand how I get from one point to the other.
The problem is: w^4-6w^2-2=0
I only know this:
u = w^2
From my text and all the research I've done, I also know that I would rewrite this problem as:

u^2 - 6u - 2 = 0
I have to solve this but it's not factorable which is where I am absolutely stumped. This is an example problem on my homework I'm providing here so I have the answers for that but I just don't know how they got them.
This is the way they worked it out.....
u^2-6u-2=0
they solve for u...but how????
they got the answer
u=3-sqrt11 or u=3+sqrt11
then after this the problem needs to be solved for w.
Is there any way you can help and show me in a step by step fashion so I get this? Thank you. LeAnn
Click here to see answer by jim_thompson5910(35256) About Me 
Question 370127: I've been stuck on this problem for a really long time. I'm trying to figure out a problem reducible to a quadratic equation in a step by step method so I can understand how I get from one point to the other.
The problem is: w^4-6w^2-2=0
I only know this:
u = w^2
From my text and all the research I've done, I also know that I would rewrite this problem as:

u^2 - 6u - 2 = 0
I have to solve this but it's not factorable which is where I am absolutely stumped. This is an example problem on my homework I'm providing here so I have the answers for that but I just don't know how they got them.
This is the way they worked it out.....
u^2-6u-2=0
they solve for u...but how????
they got the answer
u=3-sqrt11 or u=3+sqrt11
then after this the problem needs to be solved for w.
Is there any way you can help and show me in a step by step fashion so I get this? Thank you. LeAnn
Click here to see answer by ewatrrr(24785) About Me 
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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