Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 343360: With a tailwind, a plane flew the 3000 km from Calgary to Montreal in 5 h. The return flight,against the wind, took 6 h. Find the wind speed and the speed of the plane.

Click here to see answer by josmiceli(19441)

Question 343410: If a = b + 1, then what is the value of (a - b)^3 - (b - a)^3 ?
Click here to see answer by Fombitz(32388)

Question 343421: Find the equation of the quadratic function with zeros 10 and 14 and a vertex at (12, -8).
Click here to see answer by Fombitz(32388)

Question 343455: Find the dimensions of a rectangle whose perimeter is 26 meters and whose arae is 40 square meters. I know this is very basic, but I have not been in a classroom in over 35 years. Thank you.
Click here to see answer by scott8148(6628)

Question 343519: Obtain dy/dx (rate of change) using the direct rule:
y= 2.5x^4 - x^3/2.5 - x/2.5 +2.5
&
y= (x^3-2.5x^2)/(2.5sqrtx)
Click here to see answer by solver91311(24713)

Question 343651: A square is altered so that one dimension is increased by 4, while the other dimension is decreased by 2. The area of the resulting rectangle is 55ft^2. Find the area of the original square.
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Question 343862: Solve the following by completing the square
2x^2 - x - 6 = 0
Click here to see answer by Fombitz(32388)

Question 343858: Solve the following equation using the quadratic formula
(x - 6) (x - 8) = -1
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Question 343922: Directions only said SOlve:
(x^2 -2x)^2 -11(x^2 -2x) +24=0
Click here to see answer by Jk22(389)

Question 343922: Directions only said SOlve:
(x^2 -2x)^2 -11(x^2 -2x) +24=0
Click here to see answer by Fombitz(32388)

Question 343890: 2x(x+1)=7
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Question 343890: 2x(x+1)=7
Click here to see answer by ewatrrr(24785)

Question 343947: how to write in standard form with a slope of 18/17 going through the point of (-1,-1)
Click here to see answer by Fombitz(32388)

Question 343952: Solve the system: 2x + 3y = 6, x - 3y = 8
Thank you!
Click here to see answer by stanbon(75887)

Question 343955: Sove for F: r = sqrt kq1q2/ sqrt F
Thank you so much!
Click here to see answer by stanbon(75887)

Question 343955: Sove for F: r = sqrt kq1q2/ sqrt F
Thank you so much!
Click here to see answer by edjones(8007)

Question 343957: Factor completely: 7x^3 - 42x^2 - 112x
Really appreciate your help!
Click here to see answer by stanbon(75887)

Question 343953: Solve by factoring and using the principle of zero products 9x^2 + 6x - 8 = 0
Thanks!
Click here to see answer by stanbon(75887)

Question 343956: Solve: -3x + 14 - x < 56 + 3x
Gracias!
Click here to see answer by nerdybill(7384)

Question 343956: Solve: -3x + 14 - x < 56 + 3x
Gracias!
Click here to see answer by Jk22(389)

Question 343956: Solve: -3x + 14 - x < 56 + 3x
Gracias!
Click here to see answer by ewatrrr(24785)

Question 344037: (x-5)^2=1
Click here to see answer by Fombitz(32388)

Question 343971: A parabola with the equation of the form y = ax^2 + bx + c has the point (3, 1) as its vertex. If (1, 3) also lies on the parabola, which of the following is another point on this parabola?
(A)(-3, -1) (B) (-1,-3) (C) (2, 2)(D) (2, 6) (E) (5, 3)
Click here to see answer by Fombitz(32388)

Question 344101: show each and every step please for (x-4)^2=25
Click here to see answer by solver91311(24713)

Question 344161: I need to factor this equation Completely And i don't get it the problem is 5x^2-35+60
Click here to see answer by checkley77(12844)

Question 344391: 10y^2+11y-6
Click here to see answer by jsmallt9(3758)

Question 344451: 112t+16t^2+h(t) change to vertex form
Click here to see answer by Fombitz(32388)

Question 344534: solve by using quadratic formula. 6x^2=3x-2
Click here to see answer by JBarnum(2146)

Question 344534: solve by using quadratic formula. 6x^2=3x-2
Click here to see answer by ewatrrr(24785)

Question 344173: which of the following is one of the two binomial factors of 6s^2 + 40s - 64
Click here to see answer by Fombitz(32388)

Question 344555: rewrite the quadratic function in standard form by completing the square and then address the following f(x)=x^2-4x
Click here to see answer by Fombitz(32388)

Question 344577: Solve.
a. 14+(x+12)^2=35
b. -20+(x-5)^2=3
Click here to see answer by jsmallt9(3758)

Question 344681: If (y-5)^2 = 0 , then what is the value of (y+3)^2 (y-10)^2 ?
Click here to see answer by Fombitz(32388)

Question 344687: A slow-pitch softball diamond is actually a square. The distance from home plate to 1st base is 65 feet. How far is it from home plate to 2nd base? Give exact answer.
Give the approximate distance to 3 decimal places.

Click here to see answer by stanbon(75887)

Question 344602: Use the quadratic formula to solve the equation x^2-4x-9=0
Click here to see answer by ewatrrr(24785)

Question 344726: 14x^2-27x-20=0
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Question 344725: 12x^2+11x-15=0
Click here to see answer by user_dude2008(1862)

Question 344803: Please Help me solve: 4x^4=4000x
Click here to see answer by Alan3354(69443)

Question 344805: how do you factor 2x^2+5x-3
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Question 344735: k (3x + 3)(x −1) = 0 and x > 1, what is the value of k ?
Click here to see answer by jsmallt9(3758)

Question 344948: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
-18x^2-7x-10=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has two imaginary solutions.
b. The equation has two real solutions.
c. The equation has one real solution?
Thanks for your help!

Click here to see answer by Fombitz(32388)

Question 344949: How do I solve this? I know that F + W = 80,000 and then I have to rearrange the equation to : W = 80,000 - F. I don't understand what to do next. This is the question in my textbook:
Fran and Winston have a combined income of $80 000. One quarter of Winston's income is the same as one-sixth of Fran's income. How much does each person earn?
Click here to see answer by Fombitz(32388)

Question 344883: Solve y=x+1/x with 0
Click here to see answer by jsmallt9(3758)

Question 345001: This is the question in my textbook:
Fran and Winston have a combined income of $80 000. One quarter of Winston's income is the same as one-sixth of Fran's income. How much does each person earn?

Click here to see answer by mananth(16946)

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, 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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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, 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