Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 466449: Factoring by Grouping
5sx-5kx-4sy+15hx-12hy+4ky
Click here to see answer by kelsiesmurf(9)

Question 464382: Hi you guys, here is my last question of the day:
"Give exact and approximate solutions to three decimal places for the following problem:"
x^2-7x+11=0
Click here to see answer by kelsiesmurf(9)

Question 466614: Find 2 numbers whose difference is 16 and whose product is minimun
Click here to see answer by Edwin McCravy(8908)

Question 466614: Find 2 numbers whose difference is 16 and whose product is minimun
Click here to see answer by Gogonati(809)

Question 466617: 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).

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. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

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 ? 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 richard1234(5390)

Question 466656: 4. Determine the quadratic function,f(x)=ax²+bx+c , whose vertex is (1, -2) and passes through the point (-1, -22). Please show all of your work.
I appreciate any help! Thanks!
Click here to see answer by stanbon(57323)

Question 466661: 8. For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work.
f(x)=16x²/3x²-17x+10
+7

I appreciate any help!Thanks
Click here to see answer by stanbon(57323)

Question 466674: Help...spent two nights on these and cannot solve.
A) During the first part of a trip, a canoeist travels 63 miles at a certain speed. The canoeist travels 10 miles on the second part of a trip at a speed of 5 mph slower. The total time for the trip is 4 hours. What was the speed on each part of the trip?
B) Write a quadratic equation having the given numbers as a solution; -6,-2.
C) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0; -sqrt 5, 3 sqrt 5.
Thank you so much for your help!!!
Click here to see answer by Alan3354(30993)

Question 466687: please help me under stand how to do this
4x^4-11x^2+6=0
thank you
Click here to see answer by mananth(12270)

Question 466714: 16y^3+24y^2-16y
Click here to see answer by stanbon(57323)

Question 466752: Find the vertex, line of symmetry to this problem:
f(x)= 2x^2 - 12x + 11
Click here to see answer by stanbon(57323)

Question 466747: write a quadratic equation having the given numbers as soulutions -5 and -1
Click here to see answer by Alan3354(30993)

Question 466765: Please help me solve: The number of tickets sold for a Broadway musical is given by N(x)= -0.4x^2 + 12x + 12 where "x" is the number of days since the concert was first announced. When will daily tickets sales peak and how many tickets will be sold that day?
N(x)= -0.4x^2 + 12x + 12
Click here to see answer by ccs2011(207)

Question 466797: x^2+12x-64=0
Click here to see answer by Ryan O'Hara(46)

Question 466815: 5x + x(x - 1)= 0
What are the solutions?
Find the x-intercepts. Type an ordered pair
Click here to see answer by Ryan O'Hara(46)

Question 466904: Find the domain of the function and express the answer in interval notation. Explain in words and show the calculations
13x^2-5x+9=0
Thank You
Click here to see answer by stanbon(57323)

Question 466912: If 2x-3-5 then x=

Click here to see answer by Big Poop(157)

Question 466796: Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use comma to seperate answers as needed.
Find x-inteceptors of: f(x)= 4x^2 = 12
Type an ordered pair
Click here to see answer by Alan3354(30993)

Question 466940: Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $50 of her medical bills, plus 30% of the rest. Under plan B, Giselle would pay the first $90, but only 25% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $90 in bills.
Click here to see answer by Big Poop(157)

Question 466722: the perimeter and area of rectangle are 22cm are 30cm square respectively. find the length and breath of the rectangle
Click here to see answer by ankor@dixie-net.com(15649)

Question 467061: A projectile is launched into the air with an initial upward velocity of 24 feet per second. The height (h) in feet of the projectile can be modeled by h = -16t^2 + 24t + 3, where t is the time in seconds after it was launched. How much time, in seconds, does it take the object to reach 12 feet above the ground?
( TOPIC: Quadratic Equations )
Click here to see answer by Alan3354(30993)

Question 467223: Hi! please help me solve this equation:
F(x)= 9x^3 - 4x / (x-3)(x^2 - 2x + 1)
Thank you!

Click here to see answer by Big Poop(157)

Question 467245: find the whole number such that twice its square added to itself makes 10
Click here to see answer by Big Poop(157)

Question 467247: find two consecutive positive numbers such that the sum of their squares is equal to 113
Click here to see answer by Big Poop(157)

Question 467296: Quadratic Formula:
3(x-2)^2=48
Click here to see answer by stanbon(57323)

Question 467338: Solve this quadratic equation using the quadratic formula.
2x2 - 10x + 7 = 0
can you please show me how u get the answer please & thank you?!
Click here to see answer by jorel1380(2518)

Question 467352: Solve using the quadratic formula (LEAVE IN SIMPLIFIED FORM):
5x^2-3x-3=0
Click here to see answer by jim_thompson5910(28593)

Question 467353: what is the sum of roots of ax^2+bx+c=0?
Click here to see answer by jim_thompson5910(28593)

Question 467441: If the parabola y-2=a(x-30^2 goes through the point (2,0), what is the value of a?
Click here to see answer by lwsshak3(6494)

Question 467442: Graph y=x^2-1 (label the vertex and the axis of symmetry) and tell whether the parabola opens upward or downward.
Click here to see answer by lwsshak3(6494)

Question 467355: what is product of its roots? (ax^2+bx+c=0)
please answer this, and thank you! :D
Click here to see answer by robertb(4012)

Question 467530: A flywheel of radius 10 inches is turning at the rate 900 rpm. How fast does a point on the rim travel in ft/sec?
Click here to see answer by mananth(12270)

Question 467620: I need help with this Algebra problem, please.
Solve the quadratic formula. Simplify the answer.
6x^2-2x-1=0
Simplify. Express your answer with positive exponents.
((3 x y^-2)/x^3)^2(-a^2b/2b^-1)^-2
((4 x)/y^3)^-3
(-(a^2 b)/(2 b^-1))^3
(16)^3/4
Thank you for your help!

Click here to see answer by solver91311(16877)

Question 467661: x^2+2x=3 Solve by graphing
Click here to see answer by Alan3354(30993)

Question 467661: x^2+2x=3 Solve by graphing
Click here to see answer by jorel1380(2518)

Question 467707: 4x-6y=12
Find the intercepts of th graph of the equation given
Click here to see answer by MathLover1(6627)

Question 467755: (2X+5)^2 = -4
Click here to see answer by ewatrrr(10682)

Question 467751: (2X=5)^2 = -4
Click here to see answer by Alan3354(30993)

Question 467790: SOLVE BY USING COMPLETING THE SQUARE
3X^2+12X-2=0
Click here to see answer by mananth(12270)

Question 467792: USE QUADRATIC FORMULA FOR
4X^2=3
Click here to see answer by jorel1380(2518)

Question 467795: USE QUADRATIC FORMULA FOR
-2X^2+6X-5=0
Click here to see answer by jorel1380(2518)

Question 466505: Find x.
(x-20)^2=0
Click here to see answer by gwendolyn(128)

Question 466723: The width of rectangle is 5ft less than the length. the area is 6ft^2, what is width and length?
Click here to see answer by gwendolyn(128)

Question 468022: Can you help me with these i want to make sure i did it all right
(x-5)^2+2(x-5)-35=0
(x-2)^2-3(x-2)+2=0
2(x^2-5)^2-13(x^2-5)+20=0
2x(2/3)+5(1/3)=12
6X(2/3)-5X(1/3)-6=0
X^-2+4X^-1=12
X^4-8X^2+7=0
X^4-2X^2-35=0

Click here to see answer by Alan3354(30993)

Question 468090: The square of the first consecutive plus the square of the third consecutive integer equals 486 more than the square of the second consecutive integers.

I TRY:
x^2(x+2)^2=(x+1)^2+486 (It was a mess when factor everything out)
Click here to see answer by Alan3354(30993)

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