Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 382735: The sum of the squares of two consecutive integers is 244. Find the two integers.
Click here to see answer by rfadrogane(214)

Question 382775: Solve: 8/(x+2)+8/(x-2)=3
Click here to see answer by robertb(5830)

Question 382773: Solve by factoring and using the principle of zero products:
2x^2-11x+15=0

Click here to see answer by robertb(5830)

Question 382771: Solve: 33x^2=-11x
Click here to see answer by robertb(5830)

Question 382776: Solve by completing the square: x^2- 4x-11=0
Click here to see answer by edjones(8007)

Question 382869: I need help facoring this problem: x-2/x2-9+x+1/x2-x-12
Click here to see answer by Fombitz(32388)

Question 382983: The lengthy of a rectangular garden is 2 yd greater than the width. The area is 80 yd squared. Find the length and width.
Click here to see answer by stanbon(75887)

Question 382982: Please help me solve this problem: 9x^2-7x=3
Click here to see answer by edjones(8007)

Question 383221: Hi, Please can somebody help with this,
The base radius r cm of a right-circular cone increases at 2 cm s^-1 and its height h cm at 3 cm s^-1. Show that the rate of increase in its volume V = 1/3 pi r^2h when r = 5 and h = 15 is 125 pi cm^3 s^-1.
Thank You
Click here to see answer by richard1234(7193)

Question 383196: Solve for T:
Click here to see answer by Alan3354(69443)

Question 383279: An object is dropped from the top of a tower.The formula s=4.9t∧2 gives the distance in meters(s) that the object falls in T seconds.How many seconds will it take the object to fall 122.5 m?
Click here to see answer by mananth(16946)

Question 383325: five times a number decreased by 6 is equal to the number squared? what is the number?
Click here to see answer by mananth(16946)

Question 383343: 5(x+2)^2=-125
Click here to see answer by stanbon(75887)

Question 383369: Can you determine the possible number of real solutions x^2-5x+40=0?
Click here to see answer by richard1234(7193)

Question 383453: The area of a triangle is given by the equation h�+4h= 192, where h is the height of the triangle. What is the height of the triangle? How do you solve this? Step by step please
Click here to see answer by mananth(16946)

Question 383468: x2-3x+2=0 Tell if the equation has two solutions,one solution, or no real solution.
-3x2 + 5x - 1 = 0
6x2 - 2x + 4 = 0

Click here to see answer by mananth(16946)

Question 383653: How do you find the vertex of a parabola??
Click here to see answer by Fombitz(32388)

Question 383662: Divide
4/4+i
Click here to see answer by Alan3354(69443)

Question 383605: Derive the Maclaurin series for sin x as
sin x = x-x^3/3!+x^5/5! - ...
Thank You
Click here to see answer by Fombitz(32388)

Question 383614: find the square rootof the fraction 64/100
Click here to see answer by Fombitz(32388)

Question 383609: Hi
Stuck on this, can someone please help
The total surface area S of a closed cone of base radius r cm and perpendicular height h cm is given byS = pir^2 + pi r sqrt(r^2 + h^2). If r and h are each increasing at the rate of 0.25 cm s^-1, find the rate at which S is increasing at the instantwhen r = 3 and h = 4.
Thank You,
Click here to see answer by Fombitz(32388)

Question 383682: If a, b and c in a quadratic equation are all integers, is the product of its solution always rational?(TEXT BOOK)
Click here to see answer by Fombitz(32388)

Question 383696: Hi Will someone help please.
The d's are like curly d's not sure of the name or how to type?

Given f(x,y) = (x - y)/(x + y), evaluate df/dx and df/dy at the point (1,2).
Thanks in advance
Click here to see answer by tinbar(133)

Question 383758: Hi, Stuck here with this particular problem, please can somebody help
The equation governing the buckling load P of a strut with one end fixed and the other end simply supported is given by tan (Mu)L = (Mu)L where (Mu) = Sqrt (P/EI), L the length of the strut and EI the flexural rigidity of the strut.
By writing x = (Mu)L, solve the equation tan x = x using three iterations of the Newton-Raphson method, taking
an initial approximation x0 = 4.5
Thanks very Much
Click here to see answer by solver91311(24713)

Question 383795: x squared - 5x - 14 = 0
Click here to see answer by Jk22(389)

Question 383851: Originally, the dimensions of a rectangle were 18cm by 24cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 117 sq. cm. Find the dimensions of the new rectangle.
Click here to see answer by mananth(16946)

Question 383885: Please help. Find the vertex and the roots. Based upon the discriminant, describe the roots.
Click here to see answer by Alan3354(69443)

Question 384079: implicit differeniation to find y' and evaluate y' at the indicated point .
1) xIn y + 2y= 2x^3 : (1,1)

2) x^3 - tx^2 - 4= 0 :(-3,-2)
Click here to see answer by Fombitz(32388)

Question 384275: the cost of renting a truck is $39.99 for the first hour and $19.99 for each additional hour.How long can can a person have the truck If the cost is to be less then $ 120
Click here to see answer by rfer(16322)

Question 384282: A rectangle that the length is twice the with with an area of 50yd^2
Click here to see answer by mananth(16946)

Question 384248: The surface area of a rectangular box with a
square base is 54 square inches, and is given
by
A = 2x2 + 4xh
Find x when h = 3 inches.

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

Question 384235: A path followed by the diver can be modeled by
h = -1/5(x2- 5x- 70)
where h is the height (in feet) and x is the horizontal distance (in feet) from the edge of the pool.How far from the edge of the pool is the
diver when he hits the water?
Answer in units of ft.
Click here to see answer by ankor@dixie-net.com(22740)

Question 384343: long distance telephone cost 30 cent for 3 mins and 11 cents for each addiotional min.For how many mins can a person talk for less then 2.50
Click here to see answer by rfer(16322)

Question 384335: How do u graph- y=x^2+2x-3. Please make it easy to understand!!
Click here to see answer by tutorcecilia(2152)

Question 384388: Hi Can Someone please help
Use the Newton-Raphson method to find a solution to four decimal places of the equation cos x = x over the
interval [0,pi/2]. Start with an initial estimate of x0 = 0.
Hint: Ensure x is measured in radians.
Thank You
Click here to see answer by stanbon(75887)

Question 384467: Find the positive roots of the equation 4x squared +27x=40 by completing the square
Click here to see answer by stanbon(75887)

Question 384497: The algebraic relation d=0.0056s^2+0.14s models the relation between a vehicle's stopping distance d, in meters, and its speed s, in kilometers per hour. What is the fastest you could drive and still be able to stop within 80m? What is the stopping distance for a car travelling at 120km/h? Estimate the length of an average car. How many cars lengths does the stopping distance in (b) correspond to?
Click here to see answer by nerdybill(7384)

Question 384598: solve for x: 9(x + 4)^2 - 7 = 0
Click here to see answer by mananth(16946)

Question 384599: solve for x: 5x^2 + 10x + 5 = 7
Click here to see answer by mananth(16946)

Question 384489: A bus company has 4000 passengers daily, each paying a fee of 2$. For each 0.15$ increase, the company estimates that it will lose 40 passengers. If the company needs to take in $10 450 per day to stay in business, what fare should be charged?
Click here to see answer by ankor@dixie-net.com(22740)

Question 384620: Solve for x: 8^3-125=0= fucker dog
Click here to see answer by wenhanproz(1)

Question 384620: Solve for x: 8^3-125=0= fucker dog
Click here to see answer by Alan3354(69443)

Question 384612: Solve by the quadratic formula: 5x^2 + 3x = -6
Click here to see answer by Alan3354(69443)

Question 384607: Solve by the quadratic formula: x^2 = -8x + 1
Click here to see answer by nerdybill(7384)

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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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, 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