Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 40696: (2 x + 2)^2 = 64
Click here to see answer by Nate(3500)

Question 40666: steve traveled 600 miles at a certain speed. had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by stanbon(75887)

Question 40697: . Solve quadratic equation by completing the square.
4x2 + 8x + 1 = 0

Click here to see answer by Nate(3500)

Question 40652: Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream.
Click here to see answer by checkley71(8403)

Question 40648: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by checkley71(8403)

Question 40645: some students planned for a get-together. The budget for food was $500.00 Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5.00. How many students attended the get-together?
Click here to see answer by rajagopalan(174)

Question 40642: a designer, attempting to arrange the charaters of his artwork in the form of a grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
isbn 0-321-23383-2, fourth edition
Click here to see answer by rajagopalan(174)

Question 38734: Solve the inequality and express the solution in interval notation:
x^2 - 6x + 11 <18
Click here to see answer by longjonsilver(2297)

Question 40785: HELP set up and solve.
A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.

Click here to see answer by mbarugel(146)

Question 40786: Help set up and solve
Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest at different rates?

Click here to see answer by stanbon(75887)

Question 36657: Please helppppp!!!!!!!!!!!
Thanks in advance..
Lisa, Nicole and Amber are to mow a rectangular lawn that measures 100 feet by 120 feet. Lisa is going to mow one-third of the lawn by mowing a strip of uniform width around the outer edge of the lawn. What are the demensions of the lawn still to be mowed.
Thank You
Click here to see answer by checkley71(8403)

Question 40901: 2m^-2+7m^-1-15=0
Click here to see answer by checkley71(8403)

Question 40922: ^_^ fireboat salutes by shooting water into the air. How high does the middle stream if the water reach if water height is described by the function ^_^ thks
Click here to see answer by fractalier(6550)

Question 40921: Water in the tallest stream reaches a height of feet at seconds after leaving a nozzle on the fireboat.
***You can find the water's freatest height bu finding the vertext of the parabola for ***
Click here to see answer by stanbon(75887)

Question 40920: When a 100-m building is imploded, about how long does it take for a piece that breaks off from the roof to fall to the ground ?
Click here to see answer by fractalier(6550)

Question 40975: Find the roots of the quadratic equations using the quadratic formula. Express the roots, if they are not rational, in the simplest radical form.

2x2 + 3x - 4 = 0
Click here to see answer by fractalier(6550)

Question 40974: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form.

x2 + 22x + 112 = 0
(x - 4 )(x -28 )
check
x^2 +28x -4x +112
x^2+22x+112
thus, (x - 4 )(x -28 )

Click here to see answer by psbhowmick(878)

Question 41023: what are the equation of the axis of syemmetry and tyhe coordinates of the vertex of the graph of y = 2x2 - 12x + 6 can i get the awnser in like 10 minutes

Click here to see answer by Nate(3500)

Question 41064: solve, using qudratic formula
x(3x+7)-3x=0
Click here to see answer by stanbon(75887)

Question 41070: I have to find all the values of b in the following equation that will give one or more real number solutions. Can you please help me with this?
3x^2 + bx - 3 = 0
Thanks!
Click here to see answer by stanbon(75887)

Question 41073: Please help with this, I don't understand!
25x^2 = 13
Solve for x.
Thanks
Click here to see answer by rajagopalan(174)

Question 41105: Write a quadritic equation such that the sum of the roots is 6 and the product of the roots is -11.
Click here to see answer by psbhowmick(878)

Question 41108: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form.

Click here to see answer by stanbon(75887)

Question 41109: Find the roots of the quadratic equations using the quadratic formula. Express the roots, if they are not rational, in simplest radicl form.

4x^2 - 12x - 7 = 0
Click here to see answer by fractalier(6550)

Question 41103: Given the quadratic equation: x^2 - 5x + 1 = 0.
A. What is the sum of the roots?

B. What is the product of the roots?
Click here to see answer by fractalier(6550)

Question 41102: Find for each trinomial the value of k which makes the trinomial a perfact square.

x^2 - 6x + k
Click here to see answer by fractalier(6550)

Question 41123: How do you find the vertex when you have a word problem?
The word problem: A company sells 80 team jackets a week for $30 each. The product manager estimates that for each $3 increase in price, the company will sell 5 fewer jackets per week. What price should be charged per jacket to maximize the profit?
Click here to see answer by josmiceli(19441)

Question 41230: Need some help please
2x^2+10x+11=0
You can try the quadratic formula:
Keeping in mind that the standard form is , you could solve it by evaluating the quadratic formula.

a, the number in front of x squared, is 2.
b, the number in front of x, is 10.
c, the constant, is 11.

Now evaluate:

Simplify:

= or
Click here to see answer by fractalier(6550)

Question 41229: x^2+4x+4=7
How do I solve this?
Click here to see answer by fractalier(6550)

Question 41234: Please help with this.
Decide all values of b that will give one or more real number solutions.
5x^2 + bx + 1 = 0
Thank You!
Click here to see answer by fractalier(6550)

Question 41219: Please help me find all values of b that will give one or more real number solutions. I don't understand how to do this.
5x^2 + bx + 1 = 0
Click here to see answer by fractalier(6550)

Question 41233: Addition seems simple enough to me, but the minus/negative numbers confuse me on factoring.
x2 - 6x - 3 = 0
Click here to see answer by fractalier(6550)

Question 41253: Can you please explain to me how you create an equation (function) from looking at a parabola? I can make a parabola from an equation. But not the other way around. I need very easy and explained steps!
Thanks for your time and effort.
-C.
Click here to see answer by psbhowmick(878)

Question 41288: An obvject is thrown upward into the air with an initial velocity of 128 feet per second. The formula h(t)=128t-16t squared gives its hight above the ground after t seconds. What is the height after 2 seconds. What is the maximum hight reached. For how many seconds will the object be in the air. After how many seconds will it reach the maximum hight. After how many seconds will it hit the ground. I could use some help. I would greatly apreciate it.
Click here to see answer by psbhowmick(878)

Question 41299: Help
What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation.
Click here to see answer by psbhowmick(878)

Question 41289: A ball is thrown vertically with an initial velocity of 48ft per second. Its height above the ground after t seconds is given by h(t)=48t-16t squared. What is the maximum height in feet reaced by the ball. What is the height after 1 second, 2 seconds. How much time does it take for it to reach its maximum height. How much time does it take for it to hit the ground.
Click here to see answer by psbhowmick(878)

Question 41154: 2x+(k-1)y=6
3x+(2k+1)y=9
Click here to see answer by vidhyak(98)

Question 41298: Help Find
A real life situation that an be represented by loarithmic function, translate the situation to the function, and solve and represent it graphically. Any rela life situation would be okay.
Click here to see answer by Nate(3500)

Question 41351: such bitch, fuck u, i hate teachers, A TEACHER KILLED MY BROTHER A YEAR AGO ILL KILL YOU TOO, ill be arriving at your hime in approximatly 6 days (transit and all) seeya then
Click here to see answer by mszlmb(115)

Question 41402: I have a hard time figuring word problems, can someone please help?
A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 feet squared, what is the width of the path?
Click here to see answer by Paul(988)

Question 41403: Find two consecutive positive integers such that the sum of their squares is 85. Can anyone tell me if I'm right?
I am coming up with 6 and 7 - is this correct?
Thanks!
Click here to see answer by rajagopalan(174)

Question 41374: Please help me
For the function f(x)=x^2-2x+1
(a) find f(0)
(b) solve f(x)=0
Click here to see answer by venugopalramana(3286)

Question 41438: I am trying to understand the concept of "completing the square" in a quadratic equation. The original equation is
I put it into general form
Set up problem as
For some reason, the answer I got wasn't the correct answer. Am I doing something wrong in the formula steps shown above?
Click here to see answer by venugopalramana(3286)

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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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, 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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