Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 411549: could someone assist me on how i can crack this problem it says in the quadratic equation Kx^(2) + 2(k+1)x + (k-1)=0 where k is a constant
.solve the equation in the case K=5
.find the set of values for k which the equation has distinct real roots
thanks in advance!!
Click here to see answer by Theo(3472)

Question 411649: I need help on solving this step by step , i don't know how to go about this problem when it has fractions.
Find the real solutions of the equation.
x2/3 - 2x1/3 - 15 = 0
Click here to see answer by emargo19(101)

Question 411687: 1. Identify the vertex of each parabolas, and idenitify if it is a maximum or minimum.
a. f(x)= x^2 - 2x + 6
b. f(x) = 4(x-3)^2-1
Click here to see answer by rfer(12678)

Question 411720: Please help solve:
4x^2+2x = 0
and this one:
6x^2 = 36x
Thank you
Click here to see answer by rfer(12678)

Question 411759: Find b^2-4ac and the number of real solutions to this
equation.
5x^2-7=0
Click here to see answer by rfer(12678)

Question 411648: I need help about how you do this problem step by step .
Solve the equation by completing the square.
x2 + 18x + 58 = 0
Click here to see answer by ankor@dixie-net.com(15667)

Question 411732: how many square feet of fence will it take to fence 10,890 square feet?
Click here to see answer by richard1234(5390)

Question 411732: how many square feet of fence will it take to fence 10,890 square feet?
Click here to see answer by shree840(260)

Question 411954: Hi. I may have a solution but it may not be correct.
I need to give the exact and approximate solutions to 3 decimal places.
(x-12)^2 - 12;
My steps:
x-12= sqrt12; x-12 = - sqrt12
exact solutions are 12+2 = sqrt 3 12-2 = sqrt 3.
Approximate solutions are 15.464, -8.536

Click here to see answer by Alan3354(30993)

Question 412046: How do I solve this verbal problem with a quadratic equation?
The sum of the squares of two consecutive negative integers is forty-one.
Click here to see answer by ewatrrr(10682)

Question 412090: Hi Stuck with this, please help
Find the area under y = cos 2t from t = 0 to t = 0.5.

Thanks Tim
Click here to see answer by Alan3354(30993)

Question 412258: write x squared + 11x + 21 = 0 in the quadratic formula
Click here to see answer by stanbon(57424)

Question 412473: Provide the manager with a quadratic equation that models the expected number of ticket sales for each day x (x=1 is day tickets go on sale).

I solved this equation -0.2x^2+12x+11 but I am supposed to show what each thing represents;
-0.2x^2 represents..
12x represents..
11 represents..
I'm unsure what each variable represents in the equation.
Click here to see answer by ewatrrr(10682)

Question 411433: Solve equation and inequality. Use set builder notation or interval notation to write solution sets to the inequalities.
(a) 18x^2 + 9x - 20 = 0
(b) 18x^2 + 9x - 20 (-/=)0
(c) 18x^2 + 9x - 20 (+/=)0
Click here to see answer by jsmallt9(3296)

Question 412159: A banner is in the shape of a right triangle of area 63in sq. The height of the banner is 4in less than twice the width of the banner. find the height and the width of the banner.
Click here to see answer by jsmallt9(3296)

Question 412494: Graph quadratic equation graphically, symbolically, and numerically. to the nearest tenth when appropriate.
x^2 - 225 = 0
Click here to see answer by MathLover1(6649)

Question 412503: The table shows a person's heart rate after exercise has stopped.
Time(min) 0,2,4
Heart rate(bpm) 154,106,90
(a) find the values for the constants a, h, and k so that the formula f(x)=a(x-h)^2 + k models the data, where x represents time and 0 ≤ x ≤ 4.
(b) Evaluate f(1) and interpret the result.
(c) Estimate the times when the heart rate was from 115 to 125 beats per minute.
Click here to see answer by ewatrrr(10682)

Question 412670: Please help me with determining the number of real solutions based on the discriminate.

I know that the discriminate is b^2-4ac, I just don't understand how to apply it when figuring out if it is equal to zero, less than zero, or greater than zero. If you could help that would be greatly appreciated, thank you so much!
Click here to see answer by rfer(12678)

Question 412863: Simplify the expression
i^15
Click here to see answer by stanbon(57424)

Question 412885: Graph the quadratic equation, and find the following
y= x^2+6x+5
Vertex:
X-intercepts (zeros):
Axis of symmetry equation:
y-intercept:
Click here to see answer by rfer(12678)

Question 412883: Graph the quadratic equation, and find the following
y=-(x-3)^2+4
Vertex:
X-intercepts (zeros):
Axis of symmetry equation:
y-intercept:
Click here to see answer by rfer(12678)

Question 413002: Solve the problem step by step using the quadratic formula.
6x^2+5x=6
Click here to see answer by Alan3354(30993)

Question 413007: I need a step by step answer using the quadratic formula for this equation.
6x^2+5x=6
Click here to see answer by ewatrrr(10682)

Question 413014: Hai sir, please help me on this problem, I couldnt find the solution
Express (x^4 - x) in its fully factorised form
Thank you sir,
With regards,
ganesh

Click here to see answer by ewatrrr(10682)

Question 413021: Hai sir, please help me on this problem sir, i couldnt find the soultion,
Given the equation a2 + bx + c = 0, a, b, c belongs to R. If 1 - √2 is one of the roots of the equation, write down the other root. Find a, b, and c.
Click here to see answer by jsmallt9(3296)

Question 412992: so the problem reads as 4^2 = 10v - 5
I've only ever been working with them in standard form. ax^2 + bx + c = 0
I'm stuck on what to do. What's a, b, & c? should I re-write the problem in standard form? if I do how do you do that?
Click here to see answer by jsmallt9(3296)

Question 413114: 1) Explain how you might go about constructing a quadratic equation whose solutions are -5 and 7.
2) The connection between the graph and the equation is an important and helpful one! Briefly discuss the effect of the sign of the coefficient a on the graph of y = ax2 + bx + c. Please include two examples of graphs to support your thoughts, one where a < 0 and one where a > 0. (It is encouraged but not required to include the graphs of your examples in your post. If you do not include the actual graphs, please describe your examples in detail with words.)
Click here to see answer by ewatrrr(10682)

Question 413661: 21(1/3x+6/7y)
Click here to see answer by checkley79(3056)

Question 413646: 5x^2=11x+17 Solve
This one I donot understand ,I keep getting stuck on these particular equations all the time.I am curious as to how you would start to sove it and how do you know which formula works?
Click here to see answer by checkley79(3056)

Question 413691: 1/2(6x+8y)
Click here to see answer by rfadrogane(214)

Question 413761: reduce the fraction to lowest term: 273/357
Click here to see answer by Alan3354(30993)

Question 413764: reduce to lowest term: 333/370
Click here to see answer by rfer(12678)

Question 413762: reduce the fraction to lowest term: 155/279
Click here to see answer by rfer(12678)

Question 413758: 6*(-7)+3*(-5)
______________
9-5
its divided by
Click here to see answer by rfer(12678)

Question 413890: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=2x^2+4x-3
Click here to see answer by rfer(12678)

Question 413878: solve Quadratic Equation
2x^2-13x=1
Click here to see answer by rfer(12678)

Question 413886: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=x^2-4x+1
Click here to see answer by Edwin McCravy(8922)

Question 413891: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.

Click here to see answer by bayners123(12)

Question 413889: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=-3x^2-6x+5
Click here to see answer by ewatrrr(10682)

Question 413888: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=x^2-2x-3
Click here to see answer by ewatrrr(10682)

Question 413885: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=-x^2+2x+3
Click here to see answer by ewatrrr(10682)

Question 413882: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=x^2+2x+1
Click here to see answer by ewatrrr(10682)

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