Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 482758: -10 and -7
The Quadratic Equation is ?= 0
Click here to see answer by bucky(2189)

Question 483746: I am very confused on how to interpret the equation I figured out
(48/n+3)(n-2), I have to rewrite this euation in a standard form of a quadratic equation. May I get help please. Thank you.
Click here to see answer by Alan3354(30955)

Question 483887: Sketch the graphs of Y=(2.4)(to power x) and Y=(2.4)(to power -x),on the same axes and label them properly.
Click here to see answer by Alan3354(30955)

Question 483887: Sketch the graphs of Y=(2.4)(to power x) and Y=(2.4)(to power -x),on the same axes and label them properly.
Click here to see answer by stanbon(57214)

Question 483853: How to sketch the graphs of (i) y=(x+1)cute and (ii) y=-(x-1)cute +4
Click here to see answer by Alan3354(30955)

Question 483880: How let the supply function be P=Q(squared)-0.5 and the demand function be P=Q(squared)+4. (i)Algebraically,find the economically equilibrium price and quantity. (ii)Sketch the graphs on the same axes.
Click here to see answer by stanbon(57214)

Question 483932: X+2Y=9
-X+6Y=7
Click here to see answer by Alan3354(30955)

Question 483931: 6x+8y=22
-5X+Y=20
Click here to see answer by Alan3354(30955)

Question 483931: 6x+8y=22
-5X+Y=20
Click here to see answer by Tatiana_Stebko(1326)

Question 484167: HSuppose an astronaut on the Moon throws a baseball upward. The astronaut lets go of the ball 2 meters above the ground with an initial velocity of 10 meters per second. How long does it take for the ball to hit the ground (H=0)? (Use the quadratic formula to solve this problem, show all work). Write a statement to interpret your results. How much longer will the ball stay in the air on the moon than the similarly-thrown baseball on Earth? Demonstrate this mathematically and with a sentence.
Click here to see answer by chessace(471)

Question 484547: Simplify this expression. (b+4)^2 divided by b^2+7b+12 I don't know what to do with the bottom part. I believe the top would be (b+4)(b+4) but not sure of the rest.
Click here to see answer by jorel1380(2518)

Question 484550: Solve x² + 4x – 7 = 0 by completing the square. How many solutions are there?

Click here to see answer by jorel1380(2518)

Question 484779: how to find the sum and products of the roots of roots of quadratic expression?
Click here to see answer by Alan3354(30955)

Question 484912: Factor completely using an appropriate factoring method.
y^3 + 2y^2 - 81y - 162
Click here to see answer by jim_thompson5910(28476)

Question 485481: Hi, I am really stuck on this one! Can someone please help? I need to solve this by completing the square;
4x^2 - 3x + 1
PLEASE help and explain your steps???

Click here to see answer by Theo(3458)

Question 485883: x^2-8x+9=0 solve by "completing the square"
Click here to see answer by richard1234(5390)

Question 485657: Is this expression simplified correctly? 3a/3a=0 Explain in complete sentences why or why not.
Click here to see answer by richard1234(5390)

Question 485882: x^2-7x+11=0 solve by using quadratic formula
Click here to see answer by jim_thompson5910(28476)

Question 485920: what is the answer in quadratic factoring if the problem is 3xsquared + 32x + 48

Click here to see answer by Edwin McCravy(8879)

Question 485946: find the value of k for which the line y=x+k is a tangent to the curve y to the power of 2=5x+10.
Click here to see answer by Edwin McCravy(8879)

Question 485970: 6x^3-11x^2-10x=0
Click here to see answer by htmentor(788)

Question 486051: x^2+4x+8=0 solve by using quadratic formula
Click here to see answer by Edwin McCravy(8879)

Question 486050: y^2+6y+10=0 solve by completing the square
Click here to see answer by nerdybill(6948)

Question 486050: y^2+6y+10=0 solve by completing the square
Click here to see answer by MathTherapy(1421)

Question 486498: 1/4x+10=2
Click here to see answer by Tatiana_Stebko(1326)

Question 486429: If 2006x^2+2005x-2004=6x^2+52-4, what is the value of x^2+x
Options
A -1 B 0 C 1 D 2000
Click here to see answer by Tatiana_Stebko(1326)

Question 486647: I'm using the quadratic formula to solve:
3x=1-1/x
I multiplied the x out and got: 3x^2=x-1
I put it in standard form and came up with: 3x^2-x+1
a=3 b=-1 c=1
when I work out the equation I get -11 under the radical which would mean there is no real solution.
did I work out the problem correctly?
Click here to see answer by chessace(471)

Question 486733: to factor an equation of to forrm 24^2p-55p-24=0, find a pair of integers whose product is AC and addds up to B
Click here to see answer by MathLover1(6612)

Question 486294: Give exact and approximate solutions to three decimal places:
y^2-2y+1=100
If I follow the example in the book, I get the wrong answer. I am confused as how to work this problem. Thank you for any help you are able to give.
Click here to see answer by lwsshak3(6460)

Question 486809: Find the following product:
-3x^2y(-6x^7y^4)
Click here to see answer by MathLover1(6612)

Question 486849: can you help me with this sample problem it is

ax^2+bx+c=0 the solutions is -7, 1
Click here to see answer by MathLover1(6612)

Question 486873: f(x)=x^2+4x-10
Says to find the vertex and type as an ordered pair
Click here to see answer by rfer(12644)

Question 486878: f(x)=-x^2+4x-6
Says to find the vertex and type as an ordered pair. Simplify answer.
Click here to see answer by rfer(12644)

Question 486883: f(x)=1/2x^2+6x+11
Use the vertex formula to find the vertex.
Type answer as an ordered pair. Simplify.
Click here to see answer by josmiceli(9647)

Question 486903: f(x)=-12x^2+84x
Find the vertex
Click here to see answer by lwsshak3(6460)

Question 486903: f(x)=-12x^2+84x
Find the vertex
Click here to see answer by solver91311(16868)

Question 486965: f(x)=-4x^2+20x
Use the vertex formula to find the vertex.
Click here to see answer by John10(245)

Question 486964: Please help!! I'm lost with this one!! 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. ( is the day tickets go on sale).
Tickets = -x2 + 5x + 29 = 0
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 -x2 + 5x + 29 = 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 John10(245)

Question 486972: f(x)=1/3x^2+2x+1
The vertex is?
Click here to see answer by jim_thompson5910(28476)

Question 486981: f(x)=x^2-2x-24
a - Determine the vertex?
b - Does the graph open up or down?
c - What is the equation of the axis of symmetry?
d - Find any x-intercepts?
e - Find the y-intercepts?
f - Sketch the graph.
g - State the domain and range in interval notation?
If you mess up one thing it makes you start over completely with a new problem, which what keeps happening to me.
Click here to see answer by MathLover1(6612)

Question 487015: f(x)= -1/3x^2
y^2=3/7+5/2
x^2+3x-5=0
f(x)=2x^2-16x+35
solve to three deciml places (x+5)^2=4
f(x)=2(x-1)^2
m^2-9/2m=3/2
f(x)=x^2-3x+1
E=hc^2, for c
f(x)=3x^2-18x+21
3x^2-5x-11=0
f(x)=3x^2-5x-11
solve for x 3x^2=-10-8
y^2-16y+64=4
f(x)=1/2(x+3)^2+6
f(x)=-x^2+12x+3

can your help me with these please
Click here to see answer by richard1234(5390)

Question 487112: Good Morning,
I am trying to solve the following equations x2 - 2x - 13 = 0
i am not sure if i am finding the square root of each side completely here is the work i have completed so far
The problem:
X2 - 2x - 13 = 0
Step #1
Move the constant term to the right side of the equation.
The constant term is - 13
X2 - 2x = 13
Step #2
Multiply each term in the equation by four times the coefficient of the term x
4x2 - (2x4 =) 8 = (13 x 4 =) 52
4x2 - 8 = 52
Step #3
Square the coefficient of the original x term and add it to both sides o the equation
Original Coefficient = 2 (2 squared =) 4
4x2 - 8 + 4 = 52 + 4
4x2 - 8 + 4 = 56
Step # 4
Take the square root of both sides
4x2 - 8 + 4 = 56
Please help me thank You
Bethany Keitzer
Click here to see answer by nerdybill(6948)

Question 487150: We are trying to Factor the equation 2x^4 - 4x^3 + 8x^2. We factor out 2x^2 out. 2x^2(x^2 - 2x + 4) We then input into the quadratic equation (-(-2) +/- sqroot of -2^2 - 4(1)(4)) / 2(1). That give us (2 +/- sqroot -12) / 2. should be able to reduce that to 1 +/- (sqroot 3)i. So now we need to understand how to write the answer. Would it be 2x^2(x - (1 + [sqroot 3]i)(x + (1 + [sqroot 3]i)?? Some how this just does not appear to me to be the correct answer.
Thanks
Glenn and James
Click here to see answer by ankor@dixie-net.com(15623)

Question 487465: Please help me answer this.
solve each equation by using the quadratic formula
1.) 3x^2+x-4=0

Click here to see answer by Edwin McCravy(8879)

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