Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 203133: Solve by completing the square
x^2 - x - 1 = 0
Thanks
Click here to see answer by Earlsdon(6294)

Question 203097: Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for the entire trip, they would have arrived 30 minutes sooner. What was Loren's rate?
Click here to see answer by ankor@dixie-net.com(22740)

Question 203164: Solve by whatever method seems easiest, quadratic, factoring, property of square, of completing the square.
3x^2 = 2x + 5
Click here to see answer by scott8148(6628)

Question 203163: Solve by whatever method seems easiest, quadratic, factoring, property of square, of completing the square.
x^2 + 8x = -16
Click here to see answer by scott8148(6628)

Question 203173: Solving Quadratics

2x2 - 4x + 1 = 0

8. 3x2 + 2x = 7

9. x2 + 8x + 9 = -7

Click here to see answer by jejess(7)

Question 203246: Please Help!!! Thanks
x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?
Click here to see answer by vleith(2983)

Question 203249: Please Help!!! Thanks Solve in the quadratic method and one other method. factoring, property of sq., or completing the square Show work.
3x^2 = 2x + 5
Click here to see answer by vleith(2983)

Question 203258: Y = ax^2 + 4x + c
the maximum is at (1,8)
the left hand side starts at (-1,0)
it goes through (0,6) and reaches the maximum then goes down an end at (3,0)
i need to know the value of c and a.
I have been stuck on this question for a long time. thank you again
i dont even know how to get started.
thank you for taking your time to solve this.
Click here to see answer by Earlsdon(6294)

Question 203244: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to 2304 feet? Please show all work. I get 10.58 seconds. But I don't think it is right. Any help will be greatly appreciated
Click here to see answer by ankor@dixie-net.com(22740)

Question 203276: -2x^2+x-5=0 how do you solve this equation?
Click here to see answer by solver91311(24713)

Question 203248: Please Help!!! Thanks Solve in the quadratic method and one other method. factoring, property of sq., or completing the square Show work.
x^2 + 8x = -16
Click here to see answer by checkley77(12844)

Question 203370: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minuets longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(22740)

Question 203369: The width of a rectangular gate is 2 meters (m) larger that its height. The diagnoal brace measures square root6m. Find the width and height.
Click here to see answer by stanbon(75887)

Question 203518: Can anyone help with this one? I cannot come up with a solution. I think I have it set up wrong. You are greatly appreciated.
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions?

Click here to see answer by nerdybill(7384)

Question 203509: Could someone help me with this one? I have difficulty with word problems. You are greatly appreciated.
Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have?

Click here to see answer by ankor@dixie-net.com(22740)

Question 203511: Could someone help me with this one? I have trouble with word problems. You are greatly appreciated.
One year ago Walt invested $12,000. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in interest. How much was invested at 7%?
Click here to see answer by rfer(16322)

Question 203530: A bridge is the shape of a parabola. It is 10 m wide and the highest point of the bridge is 6m above ground. A transport truck is 4.5 m tal and 3 m wide. The road is centered on the axis of symmetry and the transport truck must stay on its own side of the road. Will the trick fit under the bridge? Justify your decision.
Click here to see answer by ankor@dixie-net.com(22740)

Question 203510: Could someone help me with this one? I have trouble with word problems? You are greatly appreciated.
An express train and a local train both leave Gray�s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train.

Click here to see answer by ankor@dixie-net.com(22740)

Question 203638: Can you please help me with this?
How many solutions exist for a quadratic equation and how do we determine algebraically whether the solutions are real or complex?
Click here to see answer by stanbon(75887)

Question 203639: What three techniques can be used to solve a quadratic equation, demonstrate each using x^2-10x-39=0
Click here to see answer by nerdybill(7384)

Question 203643: Can you help me with this question?
Write three quadratic equations, with a,b,and c(coefficients of x^2, x, and the constant) as 1.Integers 2. Rational numbers 3. Irrational numbers
Click here to see answer by stanbon(75887)

Question 203652: x/5 + y/2 =8
x/11 - y/2 =-8
Please help asap!!!! i really appreciate it =)
Click here to see answer by scott8148(6628)

Question 203717: Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.
Click here to see answer by rfer(16322)

Question 203716: Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.
Click here to see answer by rfer(16322)

Question 203721: Is x^2 = 0 a quadratic equation?
Click here to see answer by edjones(8007)

Question 203752: Please walk me throught this: (Imaguinary solutions of quadratic equations)
Solve: 2x^2 + 1 = 0

Click here to see answer by stanbon(75887)

Question 203752: Please walk me throught this: (Imaguinary solutions of quadratic equations)
Solve: 2x^2 + 1 = 0

Click here to see answer by bluerose22(2)

Question 203870: hey there thanks for helpping...
the question is...;x^4-10x^2=-24
thanks hope u can solve it

Click here to see answer by Theo(13342)

Question 203870: hey there thanks for helpping...
the question is...;x^4-10x^2=-24
thanks hope u can solve it

Click here to see answer by PRMath(133)

Question 203897: please explain to me how you decide which sign (positive/negative)is assigned to each of the factored parts:
Solve: 3x^2 = 2 - x. My text shows the factor as (3x-2) (x+1)= 0 I thought that when the constant is negative (i.e. 3x^2 + x - 2 = 0), you need a positive & negative sign. You determine which by assigning the sign of the "b" constant to the larger absolute value.
Click here to see answer by jim_thompson5910(35256)

Question 203927: Please could you help me with this question?
Find an equation for which -3 and 4 are solutions.
Click here to see answer by nerdybill(7384)

Question 203968: Hi guys, I was wondering whether anyone could help me to solve this quadratic equation for x: 3x^2 + 4x - 8 = 0.
Would be most appreciative if you could include steps on how to solve it also.
Thanks, -Nick.
Click here to see answer by stanbon(75887)

Question 203971: In an hour, Phoenix and Foghorn have munched all of the viral bodies. Phoenix, never one to miss a meal, can eat the same amount of virus by itself. Foghorn, the dainter of the two phagoes, can eat the same amount of virus as its twin, but it takes 25 minutes longer.
If phoenix dined alone how long would it take to consume the viral load? How long would it take Foghorn?
Im kinda lost on this one.
Click here to see answer by Theo(13342)

Question 204020: I need help with one part of solution when using the quadratic formula. My textbook does not explain this part. I will list up to where I begin to get confused.
Solve: 5x^2-8x-3=0
a=5, b=-8. c=-3
-(-8)+/- sqrt(-8)^2-4(5)(-3) divided by 2(5)
8 +/- sqrt64+60 divided by 10
8 +/- sqrt124 divided by 10

this is where it gets confusing:
8+/- sqrt (4) (31) divided by 10
8+/- 2 sqrt31 divided by 10 =2(4+/- sqrt31 divided by (2)(5)
= 2/2 times 4+/- sqrt31 divided by 5 = 4+/-sqrt31 divided by 5
I do not understand what is happening during this part. Please walk me through and explain what is being done and why it is done. thank you
Click here to see answer by jim_thompson5910(35256)

Question 204072: Can someone please help me , I am completely confused by this subject? I need help solving this question.
What type of solution do you get for quadratic equations where D<0? Give reason for the answer and give example of such an equation and find the solution.
Click here to see answer by feliz1965(151)

Question 204082: Can someone help me solve this question?
Determine the number of solutions and classify the type of solutions for each of the following equations. Justify answer.
a) x^2 + 3x - 15 =0
b) x^2 + x + 4 = 0
c)sqrt2x^2 - 4x - 7 sqrt2=0
d)x^2 - 8x + 16 =0
e)2x^2 - 3x + 7 =0
f) x^2 - 4x - 77 = 0
g) 3x^2 - 7x + 6 = 0
h) 4x^2 + 16x +16 = 0
Click here to see answer by feliz1965(151)

Question 204078: Please help me solve this problem.
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
Click here to see answer by ankor@dixie-net.com(22740)

Question 204080: Can someone help me solve this problem?
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hrs less. Find the speed of his vehicle.
Click here to see answer by RAY100(1637)

Question 204081: Can someone help me solve this word problem?
The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hrs. What is the speed of the boat in still water?
Click here to see answer by stanbon(75887)

Question 204074: I am very confused by algebra and need help, can someone help me with this word problem?
A rectangular garden has dimensions of 15f by 11f. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 sq.ft ?
Click here to see answer by Earlsdon(6294)

Question 204107: Could someone please help me with this proble?
Determine the number of solutions and classify the type of solutions for the following equation and justify the answer.

x^2 + 3x - 15 = 0
my answer is that there are two solutions x = 2.65, -5.65 but I'm not sure how to classify the type of solution and justify it.
Click here to see answer by RAY100(1637)

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, 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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, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240