Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 10333: Can anyone tell me if I did this correctly?

3/x + 2 + x/x^2-4

This is what I did. I took the x^2 - 4 and changed it to (x+2)(x-2) and then crossed out both (x + 2) which left me with this answer:

3x/x-2

Is this correct? Thanks for your help. I appreciate it.
Click here to see answer by rapaljer(4671)

Question 10409: I have just started using the TI84 plus and we are supposed to use a graphing utility to aprox the real solution rounded 2 dec places. all solutions lie between -10 and 10.
x^3-4x+2=0
It says use (Zero or Root) on the graph of y1=
I dont understand this at all. Can anyone help me?
Tina
Click here to see answer by rapaljer(4671)

Question 10429: I am preparing for my first college algebra exam and math has always been my weakest subject (especially factoring) How do you factor cubic equations for ex. x3-64?
Click here to see answer by rapaljer(4671)

Question 10436: If f(x)=x^2-3x+5, find f(1)-f(4)
Click here to see answer by calbreez(9)

Question 10435: The lenght of a rectangle is (3x) yards and its width is (x+2) yards. For what value of x will the perimeter of the rectangle be 40 yards.
Click here to see answer by calbreez(9)

Question 10433: In the repeating decimal 0.097531097531..., what is the 44th digit to the right of the decimal point?
Click here to see answer by calbreez(9)

Question 10509: What does a graph of a parabola with no real solution look like?
Click here to see answer by Earlsdon(6294)

Question 10555: hi i really need your help and preferably within the next 15 minutes. i have test tomorrow and i am totally lost when it comes to piecewise functions. i do not know where to begin in those stupid problems! i reall need you help. here's a sample problem that i'm stuck on.
{3+x x<0
{x2(xsquared)+1 x>_(more than or = to) 0
really sorry about the poor typing on that one. please give me some feedback as soon as possible! thanks.
Click here to see answer by rapaljer(4671)

Question 10566: everyone alwasy shows the main steps in quadratic equations.. but what do you do when it comes to reducing?? here is one of my questions..x2(x squared)-8x-3=0
Click here to see answer by rapaljer(4671)

Question 10629: 2x^2+3=2x find solution of the equation and express them in the form a+bi
(^2 is square root)
Can you use the quadratic equation?
Click here to see answer by Earlsdon(6294)

Question 10577: Does this quadratic equation have a solution and how do I justify?
1. p2-4p+4=0, 2.m2+m+1=0, 3. 3z2+z-1=0
Click here to see answer by gudie(3)

Question 10541: I am having problems with two word problems:

An open box will be made from a square piece of cardboard of length 26 inch by cutting 2 inch squares from the corners and folding up the sides. Find the volume of the box.

So if the length is 26 inches and you cut 2" squares off each end, then would the length then be 22?

So would the volume be l*w*h?
22 * 22* 2 = 968?

A ladder is leaning against the wall. The distance from the bottom of the ladder to the wall is 3 feet less than the length of the ladder. Find the length of the ladder if the distance of its top to the ground is 4 feet less than the length of the ladder.

I'm thinking the formula you use is:

a^2 + b^2 = c^2

So, a = c -3, and b = c-4

(c-2)^2 + (c-4)2 = c^2

c^2 -6c + 9 + c^2 - 8c + 16 = c^2

c^2 - 14c + 25 = 0

Then I'm stuck. I may be way off to begin with. Any help would be greatly appreciated. Thanks.

Click here to see answer by Earlsdon(6294)

Question 10673: An object is throwen from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation y=400x-16 x squared. Find the objects maximum height.
Click here to see answer by Earlsdon(6294)

Question 10773: 4x^4-18x^2=0
Click here to see answer by rapaljer(4671)

Question 10766: i am very confused on most things i think that i not only need a tutor for this, but a tutor in math also. i am really bad i think that i need lots of help.
Click here to see answer by rapaljer(4671)

Question 10771: Solve for t: 2t+7 is less than t+15 and 5t+6 is greater than or equal to 2t+12
please help me i really don't understand how to do this. thanks so much.
Click here to see answer by askmemath(368)

Question 10887: Hi, I am very confused with this problem I cannot seem to apply the pythagoream formula to it. Can you Please help? Thanks:" Two boats leave San Diego at the same time. One boat sails due north and the other due west. When they are 10 miles apart, the boat traveling north has sailed 2 miles farther than the boat sailing west. Find the distance each boat has traveled."
Click here to see answer by Earlsdon(6294)

Question 11021: x(x+3)=(-4x-11)/4
I come up with
(x+3)=(-7x)/4
and that is the further I get from there.
marie
Click here to see answer by longjonsilver(2297)

Question 11060: say you have the equation y = x^3 - 3. How would you solve the y-intercept, the x-intercept and the vertex to this equation?
Click here to see answer by Earlsdon(6294)

Question 10434: A medium sized pizza is 9" in diameter and costs $6.80. A large sized pizza is 12" in diameter and costs $9.95. What is the difference in the price per square inch between a medium and a large pizza? Round your answer to the nearest cent.
Click here to see answer by roxy9229(32)

Question 11133: The bus began its route with some passengers. At the first stop, 4 people got on and 1 got off the bus. At the second stop, 5 people got on and 3 got off. At the third stop, 6 passengers got on and 5 others got off. At the fourth stop, 7 more got on and 3 got off. At the fifth stop, 8 got on and 6 got off. When the bus finally arrived at the terminal, there were 21 passengers on board. How many people were on the bus when it began its route?
Click here to see answer by roxy9229(32)

Question 11123: The sum of three consecutive integers is 369. What is the smallest integer?
Click here to see answer by askmemath(368)

Question 11365: I have been struggling with this problem for a week and I just confuse myself more and more- so thank you in advance for your help! The word problem is: Suppose the height of a golf ball is described after initial velocity from the groud of 4.9 m/sec.
a) write the equation for describing the height of the ball after t seconds.
b) predict how long it will be before the ball returns to the ground.
c) when does the golf ball reach its highest point?
d) how high will the golf ball be at that time?
Click here to see answer by Earlsdon(6294)

Question 11388: A rectangular swimming pool is 8 meters long and 12 meters wide. A tile border of uniform width is to be built around the pool using 120 square meters of tile. How wide should the boarder be ?

Click here to see answer by prince_abubu(198)

Question 11519: I get really lost on square roots and simplifying them
for example (3h-7)^2 = 32 then 3h-7= or- the square root of 32, then 3h=7 +or- the square root of 32, which is h= 7 +or- the square root of 32. Here is where I get extremly lost: how does h=7+or- the square root of 32 become: h= 7 +or- 4 the square root of 2 over 3 Please explain this last step to me. If I can understand why this happens then maybe I'll understand what is going on. I have been on this particular problem for two weeks and no one every puts it in terms I can understand. Why and how does this happen.
-Sarah
Click here to see answer by askmemath(368)

Question 11523: x-4y=8
x=8/-4y
x=-2 over y
2x+y=-3
2x-3=y
2x+y=-3

Click here to see answer by Hassan(2)

Question 11602: In preparation for a party, Heather fills a large jar with gum drops. Before the party begins, Michael see the gum drop jar. He (hoping that no one will realize) takes one-third of the drops. Soon after, Tanya takes one-third of the gum drops (she too hopes that nobody will notice). Finally, Brian appears and, like the others, takes one-third of the gum drops. If forty gum drops are left in the jar, how many did it originally contain?
Click here to see answer by Earlsdon(6294)

Question 11655: Find the product of (3x-5)(2x^2+8x-7)
Click here to see answer by glabow(165)

Question 11652: Please help i don't understand this.
Find the area of the triangle bounded by the lines x=2, y=3 and 8x+5y=40.
Click here to see answer by glabow(165)

Question 11671: PLEASE ANSWER ASAP!!!!
Points A and B are on a parabola y = 4x^2+ 7x -1 and the origin is the midpoint of AB.
***What is the length of AB?
THANK YOU!!!
Click here to see answer by khwang(438)

Question 11622: Find the area of the triangle bounded by the lines x=2, y=3 and 8x+5y=40.
Click here to see answer by khwang(438)

Question 11856: If two numbers differ by 6, then what is the least possible value of their product?
Click here to see answer by rapaljer(4671)

Question 12122: Thank you in advance for your help! The question is: Suppose z varies directly as x and inversely as the square of y. If z= 1/4 when x =6 and y =8, find z when x =9 and y =2.
Click here to see answer by longjonsilver(2297)

Question 12135: I'm having a rough day! Here's another mind boggler that the book doesn't explain the steps to. Decompose into partial fractions:
5x + 7/ x^2 + 2x -3
Click here to see answer by rapaljer(4671)

Question 11701: In a distant planet, there are four forms of life beings: zadohs, pugwigs, kahoots, and zingzags. All zadohs are pugwigs. Some pugwigs are kahoots. All kahoots are zingzags.
Which of the following statement(s) must then be true?
a. Some zadohs are zingzags.
b. Some kahoots are zadohs.
c. All kahoots are pugwigs
d. Some zingzags are pugwigs.
e. All zingzags are zadohs.
f. Some zadohs are kahoots.

Click here to see answer by LilDrama(1)

Question 12391: U is the midpoint of line segment XY. If XY = 16x � 6 and UY = 4x + 9, find the value of x and the measure of XY.
Click here to see answer by akmb1215(68)

Question 12390: The midpoint of line segment of RQ is P(4, -1). Give two possible coordinates of R and of Q.
Click here to see answer by akmb1215(68)

Question 12388: One of the pitchers of the Chicago Cubs has a fastball that is electronically timed at 97.49 mph. Home plate is 17 inches long. How much time (in seconds) does the center of the ball take to pass directly over the plate?
Click here to see answer by akmb1215(68)

Question 12387: What is the smallest whole number that, when multiplied by 3, gives an answer consisting of all 4�s?
Click here to see answer by kusha(21)

Question 12389: Find the length of line segment JK for J(9, -5) and K(-6, 12).
Click here to see answer by askmemath(368)

Question 12386: Suppose a wooden cube measures eight units on a side. If you cut the cube into eight identical smaller cubes, how long is a side of one of the smaller cubes?
Click here to see answer by askmemath(368)

Question 12429: Question:
x�+y�=13
2x+y=1
I then tried to solve by substitution:
y=1-2x
x�+(1-2x)�=13
I then got a bit muddled up and wasn't sure how to expand (1-2x)�
But the answer i got would not factorise into two brackets so i decided to use the quadratic formula:
-b+/- sqrt ......
but this did not get the correct answer of:
x=-1.2, y=3.4
x=2, y=-3
Please help me because i don't have a clue what to do next!
Click here to see answer by rapaljer(4671)

Question 12560: I am trying to learn about the quadratic equations. I know how to turn (3x-4)(2x+1)=0, but I don't know how to turn 6x^2 -5x -4=0 into (3x-4)(2x+1)=0.
-Sarah
Click here to see answer by Earlsdon(6294)

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