Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 100452: Could someone please help me with this equation.
Find two consecutive positive integers such that the sum of their squares is 85.
Click here to see answer by edjones(7569)

Question 100447: Could someone please help me with this equation??? Solve the quadratic equation bt completing the square.

Click here to see answer by doukungfoo(195)

Question 100455: Could I get someone to show me how to solve this equation correctly?
Use the quadratic formula to solve the following quadratic equation.

Click here to see answer by checkley71(8403)

Question 100449: Could someone please help me with this equation? Solve this quadratic equation by completing the square.

Click here to see answer by jim_thompson5910(28504)

Question 100465: If the sides of a square picture frame are increased by 5 cm, the area becomes 289 cm^2. Find the length of a side of the original picture frame.
Click here to see answer by checkley71(8403)

Question 100528: I am guessing this is a quadratic equation. (x+y-z)(x-y+z)
How do I solve it? What is the name of this equation? What are the steps to solve it?
I am an exchange student in Japan and I don't understand completly when the teacher is teaching. Thank you very much.
Click here to see answer by stanbon(57250)

Question 100530: Science and Medicine. The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Click here to see answer by stanbon(57250)

Question 100676: Could someone please help me solve this equation?? Use the quadratic forumla.

Click here to see answer by checkley71(8403)

Question 100676: Could someone please help me solve this equation?? Use the quadratic forumla.

Click here to see answer by stanbon(57250)

Question 100694: For each equation find teh x - intercept
y = x^2 + x - 6
Click here to see answer by stanbon(57250)

Question 100707: I would love some help on this one. Particularly the graphing.
Solve the following quadratic equations. Make sure to show all your work. Do not use any method (e.g., factoring, completing the square, quadratic formula, graphing) more than twice. Use the graphing method at least once.
1. 3x2 + 11x – 20 = 0
2. x2 + 3x – 4 = 0
3. 3x2 – x – 1 = 0

Click here to see answer by stanbon(57250)

Question 100700: describe the resulting graphs by identifying the vertex point, the graphs direction and any axis intercepts gleaned from the table or graphs
y = -x + 1
Click here to see answer by stanbon(57250)

Question 100859: Please can you help solve: 0.75x²-2.4x+75.Calculate the value of x when h = 73.08
Click here to see answer by stanbon(57250)

Question 100958: Solve the equation by completing the square
4x^2 + 16x + 7 = 0
Click here to see answer by stanbon(57250)

Question 100955: Solve the equation by completing the square
x^2 + 16x + 43 = 0
Click here to see answer by tutorcecilia(2152)

Question 100953: Use the square root property to solve the following equations
(x - 2)^2 = 25
Click here to see answer by tutorcecilia(2152)

Question 100950: Use the square root property to solve the following equations
x^2 = 169
Click here to see answer by tutorcecilia(2152)

Question 100957: Solve the equation by completing the square
x^2 + 15 = -10x
Click here to see answer by edjones(7569)

Question 100957: Solve the equation by completing the square
x^2 + 15 = -10x
Click here to see answer by jim_thompson5910(28504)

Question 100956: Solve the equation by completing the square
x^2 + 12x = -3
Click here to see answer by jim_thompson5910(28504)

Question 100954: Solve the equation by completing the square
x^2 + 4x - 21 = 0
Click here to see answer by jim_thompson5910(28504)

Question 100952: Use the square root property to solve the following equations
5x^2 - 65 = 0
Click here to see answer by Nate(3500)

Question 100951: Use the square root property to solve the following equations
x^2 - 12 = 0
Click here to see answer by Nate(3500)

Question 100943: ax^2-(2a+1)x+(a+1)=0
Then the product x1x2 is equal to:
I know I have to use the quadratic formula: x=-b+-sqrt of b^2-4ac/2a
Ahhhh this is a hard one
Click here to see answer by scott8148(6628)

Question 100878: Hello, thank you for taking the time to reply to my email. I am currently enrolled in a precalculus class and I had a question. The quadratic equation is Ax^2+Bx+C=0, but how do you use the quadratic formula if C is 0. I was told to eliminate it, since the number in the square root sign then just becomes B^2. Can you please explain why you can eliminate C? ( use an example please)
Click here to see answer by scott8148(6628)

Question 101020: x(x+1)=14
Click here to see answer by edjones(7569)

Question 101017: Use the quadratic formula to solve the following equations
x^2 + 16x + 53 = 0
Click here to see answer by edjones(7569)

Question 100516: Solve the equations. check the solutions.
sqrt 2y+7+4=y
Click here to see answer by edjones(7569)

Question 101018: Use the quadratic formula to solve the following equations
2x^2 + 12x = -5
Click here to see answer by checkley71(8403)

Question 101014: Use the quadratic formula to solve the following equations
x^2 + 7x + 6 = 0
Click here to see answer by doukungfoo(195)

Question 100514: Solve each the equations. check the solutions.
sqrt 4x+3+1=0
Click here to see answer by mizzmake2(3)

Question 101208: how do you find a and b and c of a quadratic equation? I have data that is:
when x is 0, y is 1,.
when x is 1, y is 2.
when x is 2, y is 4.
when x is 3, y is 7.
when x is 4, y is 11.
when x is 5, y is 16.
and I have to write an equation for this data, which is quadratic I think. I don't know how to find a and b and c of the equation.
Click here to see answer by stanbon(57250)

Question 101124: i want to ask how to solve this problems . i want u to explain me the whole question n then give a solution to it. my ques is
show that my=x^2-4(x-1) meets the curve y=x^2-3x+2 at two distinct points for all non zero values of m.i would be very grateful to u if u solve this ques for me.this ques is nt from text book.

Click here to see answer by stanbon(57250)

Question 101123: A student did a word processing job for $24. It took him 1 hour longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take to do the job?
Click here to see answer by scott8148(6628)

Question 101267: In the equation x2+mx+k =0, what relation exists between m and k if one of the roots is twice the other?
Click here to see answer by stanbon(57250)

Question 101310: trying to figure out how to work the problem out my soultion to #54 was x=-3+/- square root of 14,
#74, my answer came out to be 1+/-i and 8 under the square root,
#108, my answer was x= 4 +/- and 6 under the sqaure root
Click here to see answer by elima(1433)

Question 101332: Use the quadratic formula to solve the following equations
x^2 - 22x + 121 = 0
Click here to see answer by jim_thompson5910(28504)

Question 101329: Use the quadratic formula to solve the following equations
4x^2 = -12x - 3
Click here to see answer by jim_thompson5910(28504)

Question 101265: find an equation whose roots are 1 more tahn the roots of6x2+1x-1 =0
Click here to see answer by ankor@dixie-net.com(15639)

Question 101330: Use the quadratic formula to solve the following equations
2x^2 - (/7)x - 1 = 0
Click here to see answer by jim_thompson5910(28504)

Question 101116: Find two numbers such that their sum is 10 and their product is 22.
Click here to see answer by edjones(7569)

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