Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 312833: Solve:
(x + 1)^2 = 100
Click here to see answer by Fombitz(32388)

Question 313085: Find the vertex of the parabola represented by this equation:

Click here to see answer by Fombitz(32388)

Question 313085: Find the vertex of the parabola represented by this equation:

Click here to see answer by Edwin McCravy(20054)

Question 312911: Use the quadratic formula to determine the x-intercepts (if any) of the foloowing function. Then evaluate the function for several values of x, and use the resulting points to graph the function.
f(x) = 1/2x^2
Click here to see answer by ankor@dixie-net.com(22740)

Question 313146: find all real solutions to each equation
x^2 + x +√x^2+x -2=0
Click here to see answer by Fombitz(32388)

Question 313153: i want to know that what does the root of the quadratic equation mean? what the root of any particular quadratic equation tells us?
Click here to see answer by Fombitz(32388)

Question 313163: I'm stumped.
Given an array of known X and Y values, and a list of *new* X values, how can I solve for what the new Y value will be ?
A bit more detail: In Excel, I plotted these known X and Y values by means of a XY Scatter Chart, then asked it to create me a Trend Line, showing me the formula. The formula, for this data, is: y = 14.132x� - 63.03x + 79.647. I need to know how to actually *arrive* at that formula by a more manual means.
Thanks! :)
Click here to see answer by Fombitz(32388)

Question 313133: how do you get the x intercepts by evaluating the function in order to get other points to graph the function>??????
this is what I have so far:
f(x) =2x^2 +2
=2(x^2 +1) +2
f(x) = 2(x^2+1+.5-.5)+2
=2(x+2+1)+3(.5)+2
=2(x+3)^2 + 3.5

am i on the right track and if so what next in order to finish ??
Click here to see answer by Fombitz(32388)

Question 313126: Solve. 4 over m^2-7=1
Click here to see answer by Fombitz(32388)

Question 313264: Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work.
x2 = 5 - 8x
Click here to see answer by mananth(16946)

Question 313276: 1. 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. (x=1 is the day tickets go on sale).
Tickets= -0.2x^2+14x+5(this is the governing equation that is referred to in part c below)
a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes?
c. Solve the governing equation using the quadratic formula.

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

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

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e and f?

h. How many solutions are there to the equation -0.2x^2+14x+5=0? How do you know?

i. 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?

Click here to see answer by stanbon(75887)

Question 313270: Use the quadratic formula to determine the x-intercepts (if any) of the following function, then evaluate the function for several values of x, and use the resulting points to graph the function.
f(x)=1/4x^2
I'm having a terrible time with this question and need some assistance with it as soon as possible, my brain hurts! So if anyone could answer this and explain, it would be greatly appreciated, thank you all SO very much!

Click here to see answer by ankor@dixie-net.com(22740)

Question 313312: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x^2 + 4x - 7 = 0
Click here to see answer by Fombitz(32388)

Question 313344: A rectangular garden is 9 ft. longer than it is wide. A second rectangular garden is planned so that it will be 6 ft. wider and twice as long as the first garden. Find the area of the first garden if the sum of the areas of both gardens will be 528 ft squared
Click here to see answer by mananth(16946)

Question 313379: Linda drove to her boyfriend's house and found him waxing his car. This job usually takes him 3 hours. She wanted her boyfriend to take her to the show which was starting in 2 hours. She offered to help him, but she knew she would need 4 hours to wax the car by herself. She wondered how long both of them would need to wax the car. Calculate the number of hours it will take. (Round your answer to the nearest tenth.)
Click here to see answer by Edwin McCravy(20054)

Question 313347: 2x^2-x+1/8=0
Click here to see answer by Fombitz(32388)

Question 313360: would you mind explaining what to do in the event that the lines in the graph of a quadratic equation are straight? (instead of curving like it does now, it goes striaght, stops, then "bounces" off)
Click here to see answer by Fombitz(32388)

Question 313371: (3+ √x)^2 + 3(3+√x)-10=0
u = (3+√x)
u^2= (3+√x)^2
u^2 + 3u - 10 = 0
x= [-b � √(b^2-4ac)] � 2a
-3 � √(3^2-4(1)(-10)) � (2)(1)
-3 � √(9 + 40 )� 2
-3 � √(49 ) � 2
-3 + 7 = 4/2 = 2
-3 � 7 = -10/2 = -5
What did I do wrong?
Click here to see answer by Fombitz(32388)

Question 313486: Find an equation that has the given solutions:
X=-2i and X=-3i
How do I proceed?
Click here to see answer by Fombitz(32388)

Question 313540: How do I solve this problem? I am completely lost. Thanks. x^2+√22x=0
Click here to see answer by stanbon(75887)

Question 313590: 5^(-1)=1
Click here to see answer by Alan3354(69443)

Question 313588: 13. Mr Fu asked a garden designer to make a square flower bed. The cost for paving the border of the flower bed is $20 per metre. The cost of the flowers and soil in the flower bed is $60 per metre^2. If the total cost of making the flower bed is $3500, find the length of a side of the flower bed.
Click here to see answer by ankor@dixie-net.com(22740)

Question 313706: The diagonal of a rectangle is 25 cm and the length iss 10 cm more than twice the width. What is the perimeter of the rectangle?
Click here to see answer by mananth(16946)

Question 313705: the local orchard has just opened a new plot of land for strawberry picking that is 500 square feet. If the length is 20 feet longer than the width, what are the dimensions of the strawberry patch?
Click here to see answer by mananth(16946)

Question 313587: 11 It is given that -1/2 is a root of the equation 10x^2-9x+k=0, where k is a constant. Find
(a) the value of k
(b) the other root
Click here to see answer by ankor@dixie-net.com(22740)

Question 313865: solve using quadratic formula:
1/4x^2+17/4=2x
Click here to see answer by stanbon(75887)

Question 313875: If the roots of a quadratic equation are -4 and 1, write the equation in ax^2+bx+c=0
Click here to see answer by solver91311(24713)

Question 313898: Graph the quadratic equation
y = x^2+ 2x
Click here to see answer by rapaljer(4671)

Question 313975: A baseball player throws a ball from the outfield toward home plate. The ball's height above the ground is modeled by the equation y =-16x^2+48x+6, where y represents height, in feet, and x represents time, in seconds. The ball is initially thrown from a height of 6 feet. how many seconds after the ball is thrown will it again be 6 feet above the ground? what is the maximum height, in feet, that the ball reaches?
Click here to see answer by solver91311(24713)

Question 313972: a man invested a total of $15000 in two venture..in one he made profit of 8% and in other 4% loss..his net income from the two venture is 240$..how much did he invested in each venture?
Click here to see answer by checkley77(12844)

Question 313962: find the roots of 4x^2=3x+2 to the nearest hundreth.
Click here to see answer by checkley77(12844)

Question 314018: ) Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 9 miles, the distance between the cars was 3 miles more than the distance traveled by the car heading east. How far had the eastbound car traveled?
Click here to see answer by ankor@dixie-net.com(22740)

Question 314163: i need help finding the discriminant of the problem 2x2+4x+2=0
Click here to see answer by Fombitz(32388)

Question 314311: Hey, I really need help with this one.
Solve.

Click here to see answer by rapaljer(4671)

Question 314468: I need to factor this problem, i am having a hard ime: a^5-625a
Click here to see answer by nerdybill(7384)

Question 314468: I need to factor this problem, i am having a hard ime: a^5-625a
Click here to see answer by malaydassharma(59)

Question 314303: 1. m^2-14m+49=0 3.7c^2-2c=1

2. 8x^2+7x-3=0 4. .3k^2-.6k=2.4

5. 3x^2+4x-2=0
these are 5 different problems.
Click here to see answer by Fombitz(32388)

Question 314466: 4x^2+4sqrt3x+3=0
Click here to see answer by Fombitz(32388)

Question 314466: 4x^2+4sqrt3x+3=0
Click here to see answer by eshomali(33)

Question 314607: Jack throws a ball straight up in the air. The equation, h(t)= -16tsquared+64t+5 gives the height (in feet) of the ball from the ground t seconds after it is thrown. How long does it take for the ball to hit the ground?
I have already figured out the maximum height, I think, as 75 feet. Which takes 5 seconds.
Thanks.
Click here to see answer by texttutoring(324)

Question 314642: 3(x-2)^2=48
Click here to see answer by Fombitz(32388)

Question 314639: x square root + 25 x + 25 =9
Click here to see answer by Fombitz(32388)

Question 314826: SOLVE BY USING QUADRATIC EQUATION
FIND THE CONSECUTIVE INTEGERS SUCH THAT THE SUM OF THEIR SQUARES IS 245
PLEASE HELP I HAD QUESTIONS LIKE THIS ON MY FINAL BUT I COULD NOT UNDER STAND HOW TO WORK THIS PROBLEM
Click here to see answer by mananth(16946)

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, 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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