Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 871953: If the two roots of the equation: X^2+X-3=0 are M and N:
a. Form the equation that has the roots 1/M, 1/M.
b. Form the equation that has the roots M^2, N^2.
Click here to see answer by mananth(16946)

Question 872005: solve using the quadratic formula
Click here to see answer by ben720(159)

Question 872005: solve using the quadratic formula
Click here to see answer by richwmiller(17219)

Question 872088: You and your best friend decide to go on a bike ride. You start at your house and ride 6 miles east and then turn and ride 8 miles south. It is going to get dark soon so you decide to go directly back to your house(northwest). What is the total distance that you would have ridden by the time you return home?
Click here to see answer by richwmiller(17219)

Question 872185: Whats the radius of a running track
Click here to see answer by Alan3354(69443)

Question 872186: Y=-6x^2+3
Click here to see answer by Alan3354(69443)

Question 872328: 2a+5b=18 solve for b
Click here to see answer by jim_thompson5910(35256)

Question 872331: 2a+5b=18 solve for b.
Click here to see answer by mathhelper123(14)

Question 872423: Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half, her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x? Ineed to factor this and use the Pythagorean Theorem for this assignment, please help.
Click here to see answer by richwmiller(17219)

Question 872440: the sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. find the number. give the solution of this equation in quadratic equation
Click here to see answer by ewatrrr(24785)

Question 872498: Which of the following equations is the result of completing the square on x2 - 6x - 9 = 0?
Click here to see answer by josgarithmetic(39616)

Question 872551: Use the quadratic formula to solve
a) 2√(5m^2)+3m-4√5=0
Can you please help me out? Thanks so much in advance:)

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

Question 872550: Use the quadratic formula to solve
Use the quadratic formula to solve
a) 2√(5m^2)+3m-4√5=0
Can you please help me out? Thanks so much in advance:)
Can you please help me out? Thanks so much in advance:)po
Click here to see answer by josgarithmetic(39616)

Question 872737: what is the equation of a straight line that goes through the point (0-4) and is parallel to the straight line y = 3x please could u answer ASAP IMPORTANT NEED ANSWER
Click here to see answer by stanbon(75887)

Question 872756: Find the discriminant and solutions for the following equations 5x^2+4x-3=0 please do a step by step :-)
Click here to see answer by richwmiller(17219)

Question 872756: Find the discriminant and solutions for the following equations 5x^2+4x-3=0 please do a step by step :-)
Click here to see answer by rfer(16322)

Question 872775: the height in feet above the ground of an arrow can be modeled by y=-16x^2+62x+4. Can the arrow pass over a tree that is 68 feet tall? why or why not?
Click here to see answer by lwsshak3(11628)

Question 872808: You are designing a circular garden. You have enough plants to cover 100ft^2. What is the radius of the largest circular garden you could create with the plants you have?
Click here to see answer by mananth(16946)

Question 872809: You are making a frame for a painting. The painting is 17in by 11in. You want the total area of the painting and frame to be 315in^2. The frame will be the same width on all sides. What should the outer dimensions of the frame be?
Click here to see answer by josgarithmetic(39616)

Question 872807: A tropical fish tank at an aquarium is 4 feet high and has a volume of 500ft^3. The length of the tank is twice the width. What is the width of the tank to the nearest tenth of a foot?
Click here to see answer by lwsshak3(11628)

Question 872751: use the given table of values to estimate the volume of the solid formed by revolving

y = f(x), , about the x-axis,
the table :-
_______________________________
x | 0 | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 |
_______________________________
f(x) | 2.3 | 1.4 | 2.9 | 1.1 | 2.4 | 1.6 | 1.9 |
Click here to see answer by Edwin McCravy(20054)

Question 872829: A field is bounded on one side by a river. A farmer wants to enclose the other three sides of the field with a fence in order to create a rectangular plot of land for his cows. If the farmer has 400m of fence to work with, determine the maximum possible area of the field and the field's dimensions.
Click here to see answer by nerdybill(7384)

Question 872879: Hey, I have a math test tomorrow and I honestly don't understand anything about Quadratic Equations. Could you explain how to do the following question to get me started?
2x(squared) + 3x + 1 = 0
Click here to see answer by Alan3354(69443)

Question 872872: A trader bought paraffin for $500. He paid $x for each litre.
a) Due to a leak he lost 3 litres of paraffin. He sold the remainder for $1 per liter more than he paid for it. Write an experession in terms of x for his total income.
B) He made a $20 profit. Write and solve the equation which represents this information.
c) How many litres of paraffin did he sell?
I know that 500/x is the amount of litres he bought, so is the remaining amount. I don't know what to do next, is the remaining amount multiplied by (x+1)?
Click here to see answer by mananth(16946)

Question 872921: -.2x^2+150x-5500 state the maximum profit and show how you determined how many items must be sold to give maximum profit.
Click here to see answer by ewatrrr(24785)

Question 872940: What quadratic equation would I use to find the perimeter, length and width if the area size is 4200?
Click here to see answer by josgarithmetic(39616)

Question 873012: Solve the following equations by completing squares and then check their answers.
2x^2 - 3x - 2 = 0
Click here to see answer by josgarithmetic(39616)

Question 873010: What must be added to the following to complete the square?
y^2 - 5y
Click here to see answer by ewatrrr(24785)

Question 873013: Without solving the equation,find how many solutions of the following equation have?
x^2 - 6x + 9 = 0
Click here to see answer by josgarithmetic(39616)

Question 873011: Solve the following equations by completing squares and then check their answers.
a^2 - a = 6
Click here to see answer by josgarithmetic(39616)

Question 873011: Solve the following equations by completing squares and then check their answers.
a^2 - a = 6
Click here to see answer by ewatrrr(24785)

Question 873047: (2x-3) - (x+4)
Click here to see answer by jim_thompson5910(35256)

Question 873046: (2x-3)(x+4)
Click here to see answer by jim_thompson5910(35256)

Question 873162: AN OBJECT is projected vertically upward from the top of a building with an initial velocity of 144 ft./sec. its distance in feet above the ground after t secods is given by the equation s(t)=16t^2+144t+93
solve for t
Click here to see answer by mananth(16946)

Question 873241: The equation of the parabola C is y = -2x^2 + 5x.The equation of the line l is y - 4x + 1 = 0.
Sketch C and l on the same diagram.
Click here to see answer by Fombitz(32388)

Question 873239: The equation of the parabloa C is y = -2x^2 + 5x.The equation of the line l is y - 4x + 1 = 0.
Find the coordinates of the points of intersection of C and l algebraically.
Click here to see answer by Fombitz(32388)

Question 873251: Solve the following equations by using the quadratic formula :
4x^2 + 4x - 3 = 0
Click here to see answer by ewatrrr(24785)

Question 873252: Solve the following equation by using the quadratic formula :
10x + 29 = 3/x
Click here to see answer by mananth(16946)

Question 873339: Question: Consider the graphs of y=x^2 and y=x^2-6...
a. Will either graph be narrower? Why or why not
b. What is the position of the vertex for each graph?
c. Will either graph open downward? Why or why not?
d. What is the range for each graph?
I understand fairly well what they're asking but I'm unsure of the answer because I don't know where the second equation y=x^2-6 would be located, as there are to ways it could be put. The (-) sign is confusing me. Would it be considered a negative sign or a subtraction sign? If you could explain this to me I would be very thankful.
Click here to see answer by ewatrrr(24785)

Question 873429: y=x^2−x−4, graphing parabolas in standard form ?

Click here to see answer by stanbon(75887)

Question 873477: Write a quadratic equation such that the sum of its roots is 6 and the product of its roots is -27
Click here to see answer by ankor@dixie-net.com(22740)

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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, 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, 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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, 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