Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 151645: The equation V=-2000t+20,000 describes the value in dollars of a certain model of car after it is T years old. If a car is worth $12,000 into the equation to find the age of the car.
Click here to see answer by jim_thompson5910(28595)

Question 151721: What is the actual quadratic formula, and how would you actually get the quation itself? All formulas have a reason to how it was made. Such as, a stated theorem.
This is an any book question.
Click here to see answer by ankor@dixie-net.com(15657)

Question 151809: Solve. 16x^3-x
Click here to see answer by vleith(2825)

Question 151845: 1) (4p + 1)²= 24
2) (2 -5t)²= 12

Click here to see answer by checkley77(12569)

Question 151911: Using the quadratic formula, solve the following equation for X.
Express your solution both in radical format and as decimals rounded to two decimal places.
3x^2+9x=-4
Click here to see answer by jim_thompson5910(28595)

Question 152046: Simplify : -(3a^6b^4)^3
Click here to see answer by checkley77(12569)

Question 151995: A rectangle is twice as long as it is wide. If its length is decreased by 4 and its width is decreased by 2, its area is decreased by 32. Find the original dimensions.
Click here to see answer by orca(409)

Question 152204: The sum of the squares of two cinsecutive positive odd numbers is 394. Find the numbers.
Click here to see answer by orca(409)

Question 152203: The perimeter of a rectangle is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.
Click here to see answer by orca(409)

Question 152202: A rectangular swimming pool measures 25m by 6m. It is surrounded by a path of uniform width. If the area of the path is 102m2, find the width of the path.
Click here to see answer by nerdybill(6962)

Question 152232: Divide: (2x^3 - x^2 + 3x - 1) / (x + 2)
Click here to see answer by jim_thompson5910(28595)

Question 152243: 3. In your industrial oven, you bake two baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies.
a) Write an expression that illustrates the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones and the variable c to represent the cost of cookies. Simplify your expression by combining like terms.
b) Suppose you have decided to price the scones at $2.28 each and the cookies at $1.19 each. How much total revenue would result from selling all the scones and cookies baked in the oven at one time?
c) Yesterday your store earned $797.30 just from the sale of cookies. Write and solve an equation that represents how many cookies were sold.

Click here to see answer by ankor@dixie-net.com(15657)

Question 152440: Hi,
How would I write the following equations?
Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
1. Integers
2. Rational numbers
3. Irrational numbers
Thanks for your help
Jimmy

Click here to see answer by Fombitz(13828)

Question 152616: Use the quadratic formula to solve the following equation:
9x^2 - 12x = 4
The answer I worked was:
9x^2 - 12x - 4 = 0
x = -12 +/- sqrt 12^2 - 4(9)(4) / 2 (9)
x = 0/18
x = 0
However, in the book, it shows the answer as:
2/3(1 - sqrt 2); 2/3(1 + sqrt 2)
Can you please explain how I get to this answer? What am I doing wrong?
Thank you sooo much for your help.

Click here to see answer by Edwin McCravy(8909)

Question 152627: solve for x:
5x^3 - 30x^2 + 45x = 0
Click here to see answer by Fombitz(13828)

Question 152626: solve for y:
9y^4 - 4y^2 = 0

Click here to see answer by jim_thompson5910(28595)

Question 152730: ok there is this extremely hard question for our class extra credit so here it goes.....
9821734682123457(squared)+2*18927365=819723568917469567
Click here to see answer by Fombitz(13828)

Question 152714: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 60 miles per hour. Train A passes a station at 10:25 A.M.. If train B passes the same at 10:40 A.M. at what time will train B catch up to train A? i have determined that
Train A is going .67 miles per minute that is as far as I have got

Click here to see answer by neodudesam(4)

Question 152737: Practice Quadratic Equations
Solve this on paper, preferably without a calculator:
3x2-6x+3 = 0
After you are done, you can click this button to see the solution, to check if you got it right.

Or Try Another Practice Equation.

Click here to see answer by jim_thompson5910(28595)

Question 151761: Hank has three square fields. One field is 1 kilometer longer than the side of the smallest field. The side of the largest field is 3 kilometers longer than the smallest field. The total area of the fields is 38 square kilometers . What is the area of each field? This doesn't sound like it should be difficult but I can't figure it out. A=S^2 ???? 38= S^2 + S^2+1^2 + S^2 +3^2 ???
Click here to see answer by Fombitz(13828)

Question 152692: By adding the same amount to its length and its width, a developer increased the area of a rectangular lot by 3000 m^2 to make it 80 m by 100 m. What were the original dimensions of the lot?
Click here to see answer by checkley77(12569)

Question 152820: solve:
18a^3-54a^2+36a

Click here to see answer by jojo14344(1512)

Question 152823: solve for x:
50 - 5x + x^2
Click here to see answer by Fombitz(13828)

Question 152822: solve for a:
16a^4 - 9a^2 = 0
Click here to see answer by Fombitz(13828)

Question 152851: I have a problem solving this problem Can someone help me?
The problem is solve using the sqrt property:
2x^2-35=15
Click here to see answer by jim_thompson5910(28595)

Question 152851: I have a problem solving this problem Can someone help me?
The problem is solve using the sqrt property:
2x^2-35=15
Click here to see answer by Earlsdon(6287)

Question 152916: I was wondering if someone could help me with this problem. Somehow I can't get it started.
Problem is solve using the quadratic formula:
x^2-3x=7x-2
Click here to see answer by jim_thompson5910(28595)

Question 152941: How do you solve by completing the square?
The problem is x^2+6x+1=0
Thank you
Click here to see answer by Earlsdon(6287)

Question 152982: I need help! I am trying to figure this problem out. The problem is to solve by factoring: x^2-13x=-12
If someone can help, I need it!
Click here to see answer by orca(409)

Question 153016: a triangular sail has an area of x squared +5x+6 squared meters and a height of x+3 meters. find the length of the sail's base.
Click here to see answer by nerdybill(6962)

Question 153004: Show that the equation (x-a)(x-b)+(x-b)(x-c)+(x-a)(x-c)=0 has equal roots when a=b=c
Click here to see answer by jim_thompson5910(28595)

Question 153052: If a bike shop determines that when x hundred bikes are built, the average cost per bike is given by c(x)=0.6^2-0.8x+5.854 where c(x) is in hundreds dollars. How many bikes should be built to mininize the average cost per bike.
c(x)=0.6x^2-0.8x+5.854
c(x)=0.6(x^2- ?)+5.854
Thank you!
Click here to see answer by stanbon(57377)

Question 153064: If someone opens a book to two facing pages, the product of the page number is 2352. What is the first and second page?
Click here to see answer by Earlsdon(6287)

Question 153069: The length of a retangle is twice the width. The area is 392 yards^2. Find the length and width.
I tried to solve this problem, but I am not sure if I did it correctly.
A=196(95)-(95)
=18620 - 9025
=9595
w=95
l=95

Click here to see answer by checkley77(12569)

Question 152686: The bending moment m of a simply supported beam of length L with a uniform load of w kg/m at a distance X from one end is M = 0.5wLx - 0.5wx^2. For what values of x is M = 0?
Click here to see answer by orca(409)

Question 153083: Find the quotient and remainder of .
Click here to see answer by vleith(2825)

Question 153082: Find all the solutions of given that -2 is a root
Click here to see answer by vleith(2825)

Question 153087: How do you compute the intercepts of a quadratic function?
Click here to see answer by jim_thompson5910(28595)

Question 153089: Solve for x
x^2+72=12x
Click here to see answer by Earlsdon(6287)

Question 153093: FOR give zero(s), horizontal asymtote(s), verticle asymtope(s), y-intersept and interval(s), where graph is positive and negative
Click here to see answer by oscargut(891)

Question 152961: I need help with solving the equation 12= (x+3)^2-2 using the graphing method but i'm not sure what the graphing method is?
Click here to see answer by checkley77(12569)

Question 153097: The Equation y=-4.9x^2+9x+15 describes the height of a diver,y, in metres at x seconds
a)Use the partial factored form to make a sketch of the parabola.
Answer)
y=-4.9x^2+9x+15
y=-4.9(0)^2+9(0)+15
y=15
Find the second point where y=15
y=-4.9x^2+9x+15
15=-4.9^2+9x+15
15-15=-4.9^2+9x+15-15
0=-4.9^2+9x
0=1(-4.9x^2+9x)
Here I have a problem as I dont know how to factor -4.9 and 9

Click here to see answer by stanbon(57377)

Question 153133: FOR give zero(s), horizontal asymtote(s), verticle asymtope(s), y-intersept and interval(s), where graph is positive and negative
Click here to see answer by stanbon(57377)

Question 153155: Find two real numbers that have a sum of 8 and a product of 2.
Click here to see answer by nerdybill(6962)

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, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250