Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

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(12844)

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(35256)

Question 149482: How do yu solve this by factoring 4y2 � 7y = 0?
please show steps.
Click here to see answer by jim_thompson5910(35256)

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(35256)

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(7384)

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(69443)

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(35256)

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(22740)

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(35256)

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(35256)

Question 149630: Find a quadratic equation that has solutions 5 and -6
Click here to see answer by jim_thompson5910(35256)

Question 149679: -1(squared)=
Click here to see answer by Alan3354(69443)

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(75887)

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(7384)

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(7384)

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(7384)

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

Click here to see answer by jojo14344(1513)

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(22740)

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(7384)

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(19441)

Question 149716: The rate at which a tablet of vitamin C begins to dissolve depends on the surface area of the tablet. One brand of tablet is 2 centimeters long and is in the shape of a cylinder with hemispheres of diameter 0.5 centimeter attached to both ends. A second brand of tablet is to be manufactured in the shape of a right circular cylinder of altitude 0.5 centimeter.
a) Find the diameter of the second tablet so that its surface are is equal to that of the first tablet.
b) Find the volume of each tablet.
Click here to see answer by ankor@dixie-net.com(22740)

Question 149843: I don't know how to do this at all be if you can show me then it will help me do the other promblems. 5t^-10t=0
Click here to see answer by jim_thompson5910(35256)

Question 149911: Preform the indicated divison

x4+4x3+6x2+4x+1
----------------
x+1

the numbers after the x such as 4x3 is 4x to the third power
Click here to see answer by jim_thompson5910(35256)

Question 149911: Preform the indicated divison

x4+4x3+6x2+4x+1
----------------
x+1

the numbers after the x such as 4x3 is 4x to the third power
Click here to see answer by vleith(2983)

Question 149902: Simplify and state any restrictions on varibles
x2-16
-----
x2+3x-4
the x with the 2 beside it is squared

thank you

Click here to see answer by nerdybill(7384)

Question 149914: subtract and simply

a - c
------- ----------
ac-c2 - a2-ac

c2 is c squared and a2 is a squared
thank you
Click here to see answer by jim_thompson5910(35256)

Question 149915: Multiply and simplify
y2-x2 . x+y
------- --------
x2+2xy+y2. x-y
the x2 and y2 are xsquared and y squared
thank you
Click here to see answer by jim_thompson5910(35256)

Question 149915: Multiply and simplify
y2-x2 . x+y
------- --------
x2+2xy+y2. x-y
the x2 and y2 are xsquared and y squared
thank you
Click here to see answer by vleith(2983)

Question 149919: divide and simplify
x^2-4 /x-2 divide 1/x^2-x

thank you
Click here to see answer by mangopeeler07(462)

Question 149896: A rectangular garden has dimensions of 18 ft by 13 ft. 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 checkley77(12844)

Question 149906: If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t^2 + 32t, where t is time in seconds. What is the maximum height reached by the ball? Graph parabola 0<=t<=2
Click here to see answer by jim_thompson5910(35256)

Question 149905: Add and simplify
5x 2
------+ -------
x+2 x2+4x+4
the x 2 is x squared
thank you
Click here to see answer by jim_thompson5910(35256)

Question 149912: The stabilization ratio (birth/death)for south and central america can be modeled by the formula y= -0.0012x^2 + 0.074x + 2.69 where y is the number of birth divided by the number of deaths in the year 1950 + x.
Use the formula to find the year in which the stabilization ratio was at its maximum?
What was the maximum stabilization ration from above?
What is the significance of a stabilization ratio of 1?
Click here to see answer by ankor@dixie-net.com(22740)

Question 149908: A company uses the formula C(x)= 0.02x^2-3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?
Click here to see answer by Alan3354(69443)

Question 149857: I know (think) I did this right but does seem right.

6x^2+17x-40 + 3 - 5x
___________ ___ ______
x^2+x-20 x-4 x+5

This is what i did...
6x^2+17x-40 +3 -5x
___________ ____ _____
(x-4)(x+5) x-4 x+5

6x^2+17x-40 + 3(x+5) - 5x(x-4)
_____________________________________
(x-4)(x+5)

6x^2+17x-40 +3x+15-5x^2+20x = (6x^2-5x^2)+(17x+3x+20x)+(-40+15)= x^2+40x-25
x^2+40x-25
__________
(x-4)(x+5)

I don't see a way to break it down any further...?
Click here to see answer by ankor@dixie-net.com(22740)

Question 150123: 3x^2+19x-14=0 then I have to write it in the quadratic formula. -19+-sqrt(-19^2-4*3*-14/2*19; x=19+sqrt361+168/38; 19+-sqrt529/38; x=19+-23/38; x=42/38=6/2; x=6/2=-4 I got the -4 sub 19 from 23 to get the -4. Can you please tell me if this is right because there is alot of steps to this thank you.
Click here to see answer by Fombitz(32388)

Question 150261: slove by the quadratic formula.
4x to the second power+11x-20=0
Click here to see answer by checkley77(12844)

Question 150301: Why do you factor a quadratic equasion before you solve?
Click here to see answer by 2828344(3)

Question 150327: i need to find how how to do factoring
5t2 - 10t = 0

Click here to see answer by checkley77(12844)

Question 150313: How do I solve this quadratic equation?It is not a textbook question. It is from a handmade study guide. I would appreciate the help!!! Thanks.
2x^2-4x=0
Click here to see answer by nerdybill(7384)

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, 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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, 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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