Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 42842: I am working on factoring trinomials. The thing is I am so confused with some problems.
2x² + x - 6
can you help me????
Click here to see answer by AnlytcPhil(1276)

Question 42843: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
*Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained.

Click here to see answer by psbhowmick(529)

Question 42871: Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:
a) Solve by factoring.
b) Solve by completing the square
c) Solve by using the quadratic formula
Click here to see answer by fractalier(2101)

Question 42876: 2x2+3x-5=0
I'm supposed to solve this equation by using the quadratic formula the 2x2 is two x squared. thanks sarah
Click here to see answer by fractalier(2101)

Question 42877: i'm supposed to solve using the quadratic formula:
3x2-8x-2=0
the 3x2 is three x squared.
thanks
sarah
Click here to see answer by fractalier(2101)

Question 43105: Solve the following systems: 2x - y = 1 6y - 2x = 9

Click here to see answer by checkley71(8403)

Question 43105: Solve the following systems: 2x - y = 1 6y - 2x = 9

Click here to see answer by AnlytcPhil(1276)

Question 43106: Which of the ordered pairs (3,1),(0,-4),(-4,0),(-3,-7) are solution for the equation
x - y =4?
Click here to see answer by checkley71(8403)

Question 43111: -8x - 5y = -45 as a function of x.
Options:
A)f(x)=8x + 9
B)f(x) = -8/5 + 9
c)f(x) = 5/8x - 45
d)f(x) = -8x + 45
Click here to see answer by fractalier(2101)

Question 43111: -8x - 5y = -45 as a function of x.
Options:
A)f(x)=8x + 9
B)f(x) = -8/5 + 9
c)f(x) = 5/8x - 45
d)f(x) = -8x + 45
Click here to see answer by tutorcecilia(2152)

Question 43135: I don't understand this!!
Find the indicated root or state that the expression is not a real number.
The cube root of 8/125
I know that 5*5*5 is 125, but what about the 8?
Click here to see answer by stanbon(57307)

Question 43189: For the following equations I am coming up with no real number solutions for either of them. Am I missing something?
x^2 = -100
5x^2 = -125
Click here to see answer by Nate(3500)

Question 43171: I need to simplify the expression.
sqrt96 over 3
Thanks
Click here to see answer by checkley71(8403)

Question 43139: I have to simplify the following expression. Can you please tell me if I did this right?
sqrt45x^23 That is the square root of 45 x to the 23rd power.
Here is what I am getting. I'm not sure I am doing the "to the power" part right.
sqrt 9*x^16*5x^7
= sqrt9x^16 * sqrt5x^7
= 3x^4 sqrt5x^7
Am I right?
Click here to see answer by fractalier(2101)

Question 41764: find "h" where 3x^2-hx+9 = 0 and the sum of the solutions is -4 and the product is 3
Click here to see answer by Nate(3500)

Question 43258: I can't get an anwser for this
Given
f(x) = f(x) = square root of x - 3
find f^-1(x)
Click here to see answer by venugopalramana(3286)

Question 43261: simplify
(6^(x-5)) / (6^(3-x))
Click here to see answer by fractalier(2101)

Question 43253: Please help me with this one...it confuses me
solve the following

3/(x-2) > 2/(x-5)
Thanks
Click here to see answer by venugopalramana(3286)

Question 43330: Please help me in solving the quadratic equation x^2 - 7x + 12 = 0. Show all steps.
Click here to see answer by psbhowmick(529)

Question 43347: Please show me how to find the x intercept and y intercept of the following equation.
y=x^2-6x-7
Thanks so much!
Click here to see answer by stanbon(57307)

Question 43361: 50= -4.9t^2 + 38t + 1.75
Click here to see answer by venugopalramana(3286)

Question 43484: Find the exact solutions to 6x^2+x+4=0 by using the quadratic formula.
Thanks
Click here to see answer by Nate(3500)

Question 43547: put the function in the form
y = a(x-h)² + k
Please show work.
Click here to see answer by Nate(3500)

Question 43568: HELP!
I do not understand how to equate the rest of the table for this equation.
y = x2 - 2x

x | y
-3
-2
-1
0
1

Click here to see answer by checkley71(8403)

Question 43569: I would appreciate help with this equation.
Identify the axis of symmetry, creat a suitable table of values, the sketch the graph (including the axis of symmetry).
y = x^2-4x
Click here to see answer by stanbon(57307)

Question 43573: Can someone help me solve this equation please?
9x^2=14
Thank you.
Click here to see answer by stanbon(57307)

Question 43563: Please help me solve this equations:
(x-10)(x-2)=-20
Click here to see answer by Nate(3500)

Question 43676: find the x intercepts y=x^2-x-20
Click here to see answer by Nate(3500)

Question 43677: find x intercepts y=x^2-4x+4
Click here to see answer by Nate(3500)

Question 43678: find x intercepts y=x^2-2x+4 could you show all steps i am having a hard time with this
Click here to see answer by Nate(3500)

Question 43889: find the solution to the equation: x^2+2x+5=0
a.x= -1 + - 2i
b.x= 1 + - 2i
c.x= -2 + - 4i
d.x= 2 + - 4i
using the solver it said there were no solutions, and i am confused on how to
answer,
Click here to see answer by Earlsdon(6287)

Question 44138: Don't understand what is correct way to do this!
Question: What's wrong with using product rule for solving equation -4(under radical sign) times -4 (under the radical sign?
I would say put both under radical and then square to get correct answer of 4. Notes say what is correct product? Hinted that 4 was not it.

Click here to see answer by psbhowmick(529)

Question 44105: can someone help me factor these problems? Thanks.
1.4r^3-4
2.(21-7t)+(3r-rt)
3.x^3+64y^3
4.(x^3+7x^2)(-4x-28)
Click here to see answer by stanbon(57307)

Question 44283: If x2 = b where b > 0, then x = _______ or _________.
Click here to see answer by fractalier(2101)

Question 44289: One number is 14 more than another number. Their product is 351. What re the numbers?
Click here to see answer by fractalier(2101)

Question 44288: Find the roots of the quadratic equations using the quadratic formula. Express the roots, if they are not rational, in simplest radical form.
x2 - 4x - 2 = 0
Click here to see answer by fractalier(2101)

Question 44285: Find for each trinomial the value of k which makes the trinomial a perfect square.
y2 + 3y + k
Click here to see answer by fractalier(2101)

Question 44284: Find the two roots of each of the following equation.
x2 = 25
(x - 2)2 = 16
Click here to see answer by fractalier(2101)

Question 44286: Find the roots of the equadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form.
3x2 - 2x - 5 = 0
Click here to see answer by fractalier(2101)

Question 44343: Carlos scored 15 more points than John in the basketball game. If the product of the two point totals is 154, how many points did each boy score?
Click here to see answer by fractalier(2101)

Question 44361: for what whole number values of b could you solve the equation 3x^2 + bx - 2=0 by factoring?
Click here to see answer by stanbon(57307)

Question 44696: I am having trouble with this problem I have gotten about half way through and can not figure out the rest.
Use the quadratic formula to solve each equation.
900x^2 - 8,100x = 1,800
This is what I have come up with so far, Maybe I am making a mistake that I am overlooking.
900x^2/90 - 8,100x/90 = 1,800/90
10x^2 - 90x = 20
10x^2 - 90x - 20 = 0

This is where I have gotten stuck.
I hope this problem is readable, I am having trouble figuring out the right way to type it on here.
Thanks in advance for any help you can provide me.
Click here to see answer by stanbon(57307)

Question 44712: Use completing the square to solve each equation.
b^2 - 3b = 5
My answer is no where even close to what the book says it should be. I am in desperate need of help with these types of problems. My book says the answer should be (3 + sqrt(29))/2 or (3 - sqrt(29))/2
This is what I came up with. What am I doing wrong?
b^2 - 3b = 5

Click here to see answer by adamchapman(301)

Question 44698: Use the quadratic formula to solve each equation.
x^2/2 + 5/2x = -1
The answer in my book for this problem is (-5 + sqrt17)/2 or (-5 - sqrt17)/2
I am having trouble figuring out how to get this answer. This was my latest attempt to it.
x^2/2 + 5/2x = -1
2x^2 + 5x = -2
2x^2 + 5x + 2 = 0

Im lost as to what I am doing wrong with this one.

Click here to see answer by adamchapman(301)

Question 44711: Use completing the square to solve each equation.
b^2 - 3b = 5
My answer is no where even close to what the book says it should be. I am in desperate need of help with these types of problems. My book says the answer should be (3 + sqrt(29))/2 or (3 - sqrt(29))/2
This is what I came up with. What am I doing wrong?
b^2 - 3b = 5

Click here to see answer by stanbon(57307)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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