Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 42087: Use the value of the discriminant to determine the number and type of roots for the equation: 2x^2-7x+9=0.
Thanks
Click here to see answer by venugopalramana(3286)

Question 42086: Find the value of c that makes x^2+5x+c a perfect square trinomial.
Thanks
Click here to see answer by venugopalramana(3286)

Question 42113: The perimeter of a rectangle is 420 inches. The width is 4 inches less than the length. What is the length of the rectangle?
Click here to see answer by psbhowmick(529)

Question 42113: The perimeter of a rectangle is 420 inches. The width is 4 inches less than the length. What is the length of the rectangle?
Click here to see answer by tutorcecilia(2152)

Question 42170: I need help with 3x^2 - 2x + 1 = 0
I came out with x = 2/6 + sqrt 8/6
Did I do this right?
Click here to see answer by fractalier(2101)

Question 42174: I need help with 3x^2 - 2x + 1 = 0
I came out with x = 2/6 + sqrt 8/6
Did I do this right?
I see the answer, but am confused on what the "i" means?
Click here to see answer by fractalier(2101)

Question 42172: I am stuck on this word problem and greatly need assistance! Thank you
A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?
Click here to see answer by fractalier(2101)

Question 42229: I am stuck on this word problem and greatly need assistance! Thank you
A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?
1 solutions
--------------------------------------------------------------------------------
Answer 27356 by fractalier(1262) on 2006-06-15 10:15:39 (Show Source):
Well let the path have a width x.
Then the garden with the path will have a length 30 + 2x and a width 20 + 2x.
Since the new area is 400, we have
A = LW
400 = (30 + 2x)(20 + 2x)
400 = 600 + 60x + 40x + 4x^2
now rearrange and get
4x^2 + 100x + 200 = 0
x^2 + 25x + 50 = 0
this does not factor so we use the quadratic
x = (-25 ± sqrt(625-200)) / 2
x = (-25 ± sqrt(425)) / 2
there does not seem to be a solution that works...perhaps you need to rephrase the problem correctly...

Beginning Algebra, 6/e My initial request is exactly how the problem is worded. I am really stumped.
Click here to see answer by fractalier(2101)

Question 42232: How do you solve 3(x+4)squared ?
Click here to see answer by fractalier(2101)

Question 42341: Help me I'm lost PLEASE Thanks!!!!!!!

When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.
Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.

Click here to see answer by Nate(3500)

Question 42350: How do I figure this out?!?! "Determine without graphing, whether the quadratic function f(x) = x^2 - 2x - 6 has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point."

Click here to see answer by Nate(3500)

Question 42348: Can you explain "discriminant" and help me with the following problem?
"Compute the discriminant of the equation x^2-8x+7=0. What does the discriminant indicate about the kinds of solutions?"
Thank You!!
Click here to see answer by Nate(3500)

Question 42396: I am working on get my ged and I have not learn Algebra or Geometry. I just learned base math. and I need help understanding the Algebra and Geometry .Can you Please Help me. Thank you.
Click here to see answer by fractalier(2101)

Question 42404: Find two consecutive positive integers such that the sum of
their squares is 85.
Thank you
Click here to see answer by fractalier(2101)

Question 42404: Find two consecutive positive integers such that the sum of
their squares is 85.
Thank you
Click here to see answer by prabhjyot(164)

Question 42461: Find the axis of symmetry.
y = x^2 + 5x - 7
Please show me how to do this. Thanks
Click here to see answer by josmiceli(9654)

Question 42462: Please show me how to solve this.
(x + 5)^2 = 3
Click here to see answer by josmiceli(9654)

Question 42478: Solve
5(x-2)^2 = 3
I cannot figure out!
Click here to see answer by Nate(3500)

Question 42460: Please help with the following word problem. Thank you!!
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?

Click here to see answer by Nate(3500)

Question 42456: Can someone please show me how to do this? I have to identify the axis of symmetry, create a table of values and insert the graph. I can do the graph, but I can't figure out how to do the other parts of the problem.
The equation is:
y = x^2 - 5x + 3
Thanks!
Click here to see answer by Nate(3500)

Question 42486: Please help me answer this question. If 4-i is a solution of a quadratic equation with a real coefficiant. What is the other solution and why?
Click here to see answer by Nate(3500)

Question 42496: 2x^2-9x-9 grrr this was given to my little brother as homework who is 2 years younger than me i havnt done quadratic eqautions for ages please help
Click here to see answer by askmemath(368)

Question 42506: Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2 + 7x
Is it 49?
Click here to see answer by Nate(3500)

Question 42505: Can someone please help with this?
Find the x-intercepts
y = x^2 + 5x + 2
Thank you so much!
Click here to see answer by Nate(3500)

Question 42504: Is the following trinomial a perfect square?
x^2 + 18x + 81
I don't think it is.
Thanks!
Click here to see answer by Nate(3500)

Question 42494: Compute the value of the discriminant and give the number of real solutions to the quadratic equation
3x^2+2x+1=0
I need to know the discriminant and the number of real solutions
Click here to see answer by Nate(3500)

Question 42492: Compute the value of the discriminant and give the number of real solutions to the quadratic equation
3x^2-3x-4=0
I need to know the discriminant and the number of real solutions
Click here to see answer by Nate(3500)

Question 42491: Compute the value of the discriminant and give the number of real solutions to the quadratic equation
-4x^2+4x-1=0
I need to know the discriminant and the number of real solutions
Click here to see answer by Nate(3500)

Question 42542: Complete the given table of values
y = -x^2 - 2x
Thanks!
Click here to see answer by rapaljer(4667)

Question 42539: Fid the axis of symmetry.
Please show how to do this - thanks!
y = -x^2 - 10x + 7
Click here to see answer by rapaljer(4667)

Question 42640: The demand and supply equations for a certain item are given by
D = -5p + 40
S = -p^2 + 30p - 8
Find the equilibrium price.
Click here to see answer by Nate(3500)

Question 42639: Graph the quadratic equation after completing the given table of values.
Can someone show how to do this?
y = x^2-1
Click here to see answer by Nate(3500)

Question 42639: Graph the quadratic equation after completing the given table of values.
Can someone show how to do this?
y = x^2-1
Click here to see answer by Socom491(19)

Question 42638: Identity the axis of symmetry and create a suitable table of values.
Please help - I am having a hard time understanding these!
y = -x^2 + 3x - 3
Thank you!
Click here to see answer by Nate(3500)

Question 42672: Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
b) The ball will be how high above the ground after 1 second?
c) How long will it take to hit the ground?
d) What is the maximum height of the ball? What time will the maximum height be attained?

Click here to see answer by Nate(3500)

Question 42673: I need help to solve the equation h(X)=-32X^2/(50)^2+X+200
Click here to see answer by rapaljer(4667)

Question 42667: What exactly is a discrimanent? (sorry about the spelling)
Click here to see answer by Nate(3500)

Question 42743: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s. Use this information for exercises 35 to 38.

When will the ball reach a height of 80 m?

Click here to see answer by Nate(3500)

Question 42803: (a). write the value of the discriminant of each equation. (b). Then use it to decide how many different real number roots the equation has.(do not solve.)
3x to the second power - x - 1 = 0
Click here to see answer by fractalier(2101)

Question 42804: (a). write the value of the discriminant of each equation. (b). Then use it to decide how many different real number roots the equation has.(do not solve.)
x to the second power = 2x - 1
Click here to see answer by fractalier(2101)

Question 42797: 2x to the second power + 5x + 1 = 0
Click here to see answer by fractalier(2101)

Question 42799: 5x to the second power - 4x + 1 = 0
Click here to see answer by fractalier(2101)

Question 42835: I would really appreciate help on this equation. Thank you.
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Click here to see answer by longjonsilver(2297)

Question 42842: I am working on factoring trinomials. The thing is I am so confused with some problems.
2x² + x - 6
can you help me????
Click here to see answer by josmiceli(9654)

Question 42842: I am working on factoring trinomials. The thing is I am so confused with some problems.
2x² + x - 6
can you help me????
Click here to see answer by fractalier(2101)

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