Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 149216: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Click here to see answer by nerdybill(6948)

Question 149268: If x = 1 and x = -8, then form a quadratic equation
Click here to see answer by Fombitz(13828)

Question 149270: Determine whether the following equations have a solution or not? Justify your answer.
x2 + 6x - 7 = 0
z2 + z + 1 = 0

Click here to see answer by Fombitz(13828)

Question 149289: Write a quadratic equation based on the points (-1,0), (0.67,0), and (0,-2); and find its solution.
Click here to see answer by stanbon(57223)

Question 149282: Please, I need help with the next step, something is not right.
.05(113 – 2y) + 8 + .10(2y) = $10.45
Click here to see answer by Alan3354(30965)

Question 149282: Please, I need help with the next step, something is not right.
.05(113 – 2y) + 8 + .10(2y) = $10.45
Click here to see answer by checkley77(12569)

Question 149278: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
Click here to see answer by checkley77(12569)

Question 149303: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by vleith(2825)

Question 149302: Please Help with this one I have been trying to figure this out for a while.
A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?

Click here to see answer by scott8148(6628)

Question 149314: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by ankor@dixie-net.com(15624)

Question 149386: In dealing with quadratic equations, how do we determine wheather the solutions are real or complex?
Click here to see answer by scott8148(6628)

Question 149394: If x = 1 and x = -8, then form a quadratic equation.
Click here to see answer by stanbon(57223)

Question 149392: Please help with the following word problem:
A stone is thrown upward from a bridge. The stone's height in feet, "h", above the water "t" seconds after the stone is thrown is a function given by h=-16t2 + 32t + 256.
a. How tall is the bridge from which the stone was thrown? My answer is 256 ft.
b. How high above the water is the stone after 3 seconds? My answer is 208 ft.
c. What is the maximum height of the stone? Stuck on this question.
d. After how many seconds does the stone reach the maximum height? Stuck on this question too.
e. How long does it take for the stone to hit the water? My answer is 5.12 seconds.
Please help with questions c and d.
Any help would be greatly appreciated. Thank you.
Click here to see answer by jim_thompson5910(28476)

Question 149395: What type of solution do you get for quadratic equations where D<0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
Click here to see answer by stanbon(57223)

Question 149399: Translate the following into a quadratic equation and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
Click here to see answer by stanbon(57223)

Question 149412: How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex?
Click here to see answer by ankor@dixie-net.com(15624)

Question 149411: Create a real-life situation that fits into the equation (x+4)(x-7) = 0 and express the situation as the same equation.
Click here to see answer by ankor@dixie-net.com(15624)

Question 149428: Find three consecutive positive even intergers such that the product of the first and third is 60
Click here to see answer by Fombitz(13828)

Question 149426: A pine cone falls from the top of a 64-foot pine tree. How long will it take (in seconds) for the pine cone to reach the ground?
Use the equation h = -16t^2 + 64 where h is the height (in feet) above the ground t seconds after it falls from the tree.
Click here to see answer by Alan3354(30965)

Question 149427: In a right triangle, one of the legs is 2 feet longer than the shorter leg. The hypotenuse is 10 feet. Find the lenghths of the missing 2 sides of the triangle.
Click here to see answer by checkley77(12569)

Question 149479: How do yu solve this by using quadratic formula 3x (3x + 4) = -4 ?
please show steps.
Click here to see answer by jim_thompson5910(28476)

Question 149482: How do yu solve this by factoring 4y2 – 7y = 0?
please show steps.
Click here to see answer by jim_thompson5910(28476)

Question 149485: How do yu solve this by using quadratic formula 2 = 0.7n + 0.6n2?
please show steps.
Click here to see answer by jim_thompson5910(28476)

Question 149484: A boy rides a bike 8 miles. The trip would have taken 20 minutes less if he had ridden 2 miles per hour faster. find his actual speed.
Click here to see answer by nerdybill(6948)

Question 149425: Finding 3 consecutive positive integers such the product of the first and the third is 60.
Click here to see answer by Alan3354(30965)

Question 149528: there is an error in this problem... can you tell me where it is?? =\
x=2
x(x-1) = 2(x-1)
x^2-x = 2x-2
x^2-2x = x-2
x(x-2) = x-2
x=1
Thanks for you help.... jj
Click here to see answer by jim_thompson5910(28476)

Question 149544: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by mangopeeler07(462)

Question 149541: A rectangular garden has dimensions of 18 feet by 13 feet. 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 516 square feet?

Click here to see answer by ankor@dixie-net.com(15624)

Question 149605: Please help.
1. If x = 1 and x = -8, then form a quadratic equation. I have no idea where to even begin an equation.
2. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
Iknow if discriminant is less than zero no solutions are defined. But I don't know how to explain why or how to begin an example. Please explain and keep it as simplistic as possible so that I can understand. Like if you were explaining it to a 9 year old.
Thank you so much for all your time and help!!!!!

Click here to see answer by jim_thompson5910(28476)

Question 149608: What three techniques can be used to solve quadratic equations? Demonstrate these techniques on the equation 12x^2-10x-42=0.
Click here to see answer by jim_thompson5910(28476)

Question 149630: Find a quadratic equation that has solutions 5 and -6
Click here to see answer by jim_thompson5910(28476)

Question 149679: -1(squared)=
Click here to see answer by Alan3354(30965)

Question 149717: Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 4 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2 miles?
Click here to see answer by stanbon(57223)

Question 149718: A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 128 ft squared, how many feet of fencing should be purchased?
Click here to see answer by nerdybill(6948)

Question 149732: This is a critical thinking exercise, that may or may not require algebra.
A Wagon Wheel is placed against a wall.One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheel?
Click here to see answer by nerdybill(6948)

Question 149714: Two square wire frames are to be constructed from a piece of wire 100 inches long. If the area enclosed by one frame is to be one-half the area enclosed by the other, find the dimensions of each frame. (Disregard the thickness of the wire.)
Click here to see answer by nerdybill(6948)

Question 149746: the sum of 3 consecutive numbers are equal 417

Click here to see answer by jojo14344(1512)

Question 149715: When a rock is dropped from a cliff into an ocean, it travels approximately 16t squared feet in t seconds. If the splash is heard 4 seconds later and the speed of sound is 1100 ft/sec, approximate the height of the cliff.
Click here to see answer by ankor@dixie-net.com(15624)

Question 149794: This is a practical appliaction of quadratic equations.
How would I set up the following solution to this problem?

The hudson river flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?

I realy don't know how to thank the tutor's that helped me on the last question.I am new to this. So thank you to the tutors that helped me last time. I would like to say thank you in advance to the tutor that will help me on this question.Your help is appreciated.
Click here to see answer by scott8148(6628)

Question 149780: The hypotenuse of a right triangle is 7 less than three times the shortest leg. The longest leg is two less than the hypotenuse. Detemine the lengths of all three sides. There are two sets of answers, state both of them.
Click here to see answer by kmcruz09(38)

Question 149799: I NEED HELP I AM REALLY STUMPED ON THIS SOLUTION!!

Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would have taken one hour less. Find the speed of his vehicle.

I am having a tough time. Thank you in advance to anyone who can help me.

Click here to see answer by nerdybill(6948)

Question 149758: Create 3 quadratioc equations using the form ax^2+bx+c=0 as integers, as rational numbers, as irrational numbers. Please help me, I am so totally lost on this question. Thanking you in advance for your time!
Click here to see answer by josmiceli(9650)

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