Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 423723: Help me to solve:
10x^4 - 19x^2 + 6 = 0
Click here to see answer by dnanos(83)

Question 423680: A triangle sail has an area of 76 square feet. Find the base and the height if the height measure is three more than twice the base. (use formula A= 1/2 bh)
Click here to see answer by mananth(16946)

Question 423981: Consider the quadratic function; f(x)=r^2 + (x+s)(x-s) here r,s are arbitary constants, find the min possible value for f and also the value of x for which the min is achieved.
my email address is jesssie87@yahoo.com.au
Click here to see answer by stanbon(75887)

Question 424009: An express train takes 1 hour less than a passenger train to travel 132 km between two stations a and b .if the average speed of express train is 11 km/hr than that of the passenger train , find the average speed of each train
Click here to see answer by robertb(5830)

Question 424078: A trader bought some petrol for $500. He paid $x for each litre of petrol.
a) Find in term of x, an expression for the number of litres he bought,
b) Due to a leak, he lost 3 litres of petrol. He sold the remainder of the petrol for $1 per litre more than he paid for it. Write down an expression, in terms of x, for the sum of money he received,
c) He made a profit of $20. i) Write down an equation in x to represent this information and show that it reduces to 3(x)^2 + 23 x -500 = 0. ii) Solve this equation, giving both your answers correct to one decimal place.
d) Find, correct to the nearest whole number, how many litres of petrol he sold.
*I know it's a long question, but please try to understand I can't put the parts separately because then they wouldn't make sense. Please answer as soon as possible. Much appreciated :) =)
Click here to see answer by mananth(16946)

Question 424086: Translate the following into a quadratic equation, and solve it:
The length of a rectangular garden is two more than its width; if the area of the garden is 35 square meters, what are its dimensions?

Click here to see answer by stanbon(75887)

Question 424144: I need to write a quadratic equation for the value of x having the given number of solution 9 being the only solution. I have to put in standard form quadratic form.
Click here to see answer by ankor@dixie-net.com(22740)

Question 424152: In 1994, the life expectancy of males in a certain country was 65.9 years. In 1999, it was 68.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994.
The linear function that fits the data is
E(t)= ___t + ____
Round to the nearest 10th.
Use the function to predict the life expectancy of males in 2003.
E(9)=
Round to the nearest 10th.
Click here to see answer by josmiceli(19441)

Question 424181: Solve using the quadratic formula
x^2-4x+3=0
Click here to see answer by MathLover1(20849)

Question 424279: 1)Find the discriminate and then describe the nature of the solutions.
17x^2-10x+20=0
A. Two Real Solutions
B. Two imaginary solutions
C. One real solution
2)Subtract the Polynomials
(-9w^2+4w+3)-(8w^2+3)
Please help

Click here to see answer by htmentor(1343)

Question 424353: Simplify completely: -5sgrt8x -6sgrt50x

Click here to see answer by stanbon(75887)

Question 424352: i have to find all real solution to equation 5(b-1)^2-4=221 and also i don't know how to apply quadratic formula to this equation.
Click here to see answer by stanbon(75887)

Question 424577: Find 2 numbers whose sum is 40 if the sum of their squares is to be a minimum. What is the minimum?
Click here to see answer by richard1234(7193)

Question 424630: completing the square x squared+5x=8any help would be appreciated thank you
Click here to see answer by Alan3354(69443)

Question 424630: completing the square x squared+5x=8any help would be appreciated thank you
Click here to see answer by nerdybill(7384)

Question 424632: any help would be appreciated thank you completing the square x squared+5x=8
Click here to see answer by Alan3354(69443)

Question 424823: x2+7x+12=0
Click here to see answer by linh117(31)

Question 424823: x2+7x+12=0
Click here to see answer by shree840(260)

Question 424932: 16 = if x=1 then y=2;
if x=2 then y=4;
if x=3 then y=7;
if x=4 then y=11;
if x=5 then y=16;
What will be the formula to solve for Y if X is given?

Click here to see answer by htmentor(1343)

Question 425058: The equation 4x^2+15x+2=0 has two solutions A and B where A less than B
and A=
B=
Click here to see answer by Alan3354(69443)

Question 425052: The formula y=2.6sqrtX +9 models the percent of U.S. adults who are considered obese by federal guidelines, where X is the number of years after 1980, and Y is the percent of obese adults. In this equation, Y is already converted from a decimal, so, for example, a 55% obesity rate would correspond to Y=55.
According to this formula, in what year was the obesity rate 15.4 percent?
Answer: In the year
Round to the nearest actual year.
Click here to see answer by htmentor(1343)

Question 425151: 35,000*6.99*7=

Click here to see answer by MathLover1(20849)

Question 425328: how do you solve this equation using the quadratic formula y^2-10y+22=0
Click here to see answer by rfer(16322)

Question 425433: Consider the Quadratic function . f(x)=3x^2-15x-18
its vertex is ( )
its largest x-intercept is x=( )
its y-intercept y=( )
Click here to see answer by lwsshak3(11628)

Question 425432: A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 128 feet per second from an initial height of 112 feet off the ground, then the height of the projectile, h , in feet, t seconds after it's shot is given by the equation: h= -16t^2+128t+112

Find the two points in time when the object is 147 feet above the ground. Round your answers to the nearest hundredth of a second (two decimal places).
Click here to see answer by lwsshak3(11628)

Question 425723: if a = (b^2)/c - b
What does b =
Click here to see answer by Alan3354(69443)

Question 425782: how do i figure out the y intercept and the x intercept in
5x^2 + 5y^2 = 45?

please helpp
Click here to see answer by stanbon(75887)

Question 425729: Use an Equation Editor to write mathematical expressions and equations.
Ticket Sales
Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations.
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

Tickets = -0.26x^2+13x+35

1. Does the graph of this equation open up or down? How did you determine this?

2. Describe what happens to the tickets sales as time passes?

3. Will tickets peak or be at a low during the middle of the sale? How do you know?

4. How many solutions are there to the equation ? How do you know?

5. Use the quadratic equation to determine the last day that tickets will be sold
Write your answer in terms of the number of days after ticket sales begin.
(Note: that we do not use partial days or negative sales)

So day will be the last day.

6. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

7. Determine the number of tickets sold on the 52 day

8. Determine the number of tickets sold on the 1st day

9. After how many days will the peak or low occur?
Using

10. How many tickets will be sold on the day when the peak or low occurs?
Substitute x = ? into original model:

tickets are sold on the busiest day.

11. How many tickets will be sold on day 26

Click here to see answer by richard1234(7193)

Question 425871: how do you do this (-b�√(b^2-4ac)2a
Click here to see answer by Theo(13342)

Question 426140: Please help me solve this equation: 6x^4-7x^2+2=0
Click here to see answer by ewatrrr(24785)

Question 426176: solve the linear quadratic system algebraically
y= 5-x^2
y= x-15
Click here to see answer by ewatrrr(24785)

Question 426313: i dont get how you find a,b,c in the standard form equation y= 2x to the second power
Click here to see answer by richard1234(7193)

Question 426392: What are the solutions to (x-1)(2x+5)=0?
a) -1 and 5/2
b) -1 and 2/5
c) 1 and - 5/2
d) 1 and - 2/5
Click here to see answer by mananth(16946)

Question 425875: a daily newspaper had 12,125 subscribers when it began publication. five years later it had 10,100 subscribers. what is the average yearly rate of change in the number of subscribers for the five-year period?
Click here to see answer by ankor@dixie-net.com(22740)

Question 426420: I am asked to create a quadratic function, y=f(x), that satisfies the following conditions:
f(7)=2, f(-5)=-10, and y-intercept is (0,6)
NO clue where to begin. I know I could do something if I had the x-intercepts. But what I start with is:
6=ax^2+bx+c , but then I come up with 6=c and I feel like I just need a starting point.
I was not tought this in my current class, supposedly this is suppose to be prerequisite homework...
Thanks for any help...Kate
Click here to see answer by Alan3354(69443)

Question 426387: Solve the following quadratic equation by factoring:
4x^2 - 9x + 2 = 0
Click here to see answer by edjones(8007)

Question 426489: Using the General Quadratic Formula:
2x^2-7x+6

Click here to see answer by ewatrrr(24785)

Question 426538: Hello there:
There are only four questions that I need help with.
Thank you so much in advance,
I really appreciate all of your help.
1. Solve (2x � 3)(x + 2) = 0
2. 6 = a^2 � 5a
3. 12x + 4 = -9x^2
4. 4y^2 = 25
Click here to see answer by nerdybill(7384)

Question 426562: Solve using the quadratic formula. Then use a calculator to approximate to three decimal places the solutions as rational numbers. X^2-4x+1=0

Click here to see answer by ewatrrr(24785)

Question 426577: what does the graph x^3-400x look like

Click here to see answer by ewatrrr(24785)

Question 426640: Solve each equation using the quadratic formula.
3x^2+2x-1=0
Click here to see answer by ewatrrr(24785)

Question 426672: If P dollars are deposited at an interest rate r and compounded n times, the future value An can be found by the formula An=P(1=r)^n. Find the rate of interest if a principal amount of $5000 grows to $6050 in 2 years if interest is compunded annually?
Answer key has 10% as the answer but doesn't explain the process of solving the equation.
Click here to see answer by htmentor(1343)

Question 426642: Solve each equation using the quadratic formula.
1.x^2+10=-25
2.2x^2-5=-3x
Click here to see answer by Alan3354(69443)

Question 426848: I need help I have solve this quadratic equation, and I want to know if its right is there a way to check?
...my answer is x=1+ - 2sqrt(5).
thank you.
Click here to see answer by stanbon(75887)

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, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240