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Question 1088451: If a,b,c i.e the coefficients of the quadratic equation ax^2+bx+c=0 are in A.P and the one root of this given equation is 2, then find the other root?
a)3/4
b)-3/4
c)-5/4
d)-5/2
My attempt.
Since this is a competitive exam question,I first tried to solve mentally. i.e by putting a=1 which suggested me that b=1+d and c=1+2d where d=common difference
Now I made an equation,
x^2+(root+2)+2*root=0
compare with above made equation
x^2+bx+c=0 since a=1 i putted
then b=root+2 and c=2*root, and then it became like unsolvable for me!!! Please help,thanks!!!
Click here to see answer by ikleyn(52790)

Question 1088471: Why do the gardens Have to be adjacent

Click here to see answer by Alan3354(69443)

Question 1088477: certain population increases according to the model p(t)=250e^0.47t population t=5
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Question 1088616:
A line has a slope of -3 and includes the points (-4,4) and (p,7). What is the value of p?
p=
Click here to see answer by josgarithmetic(39618)

Question 1088645: If an object is thrown/launched into the air, the following formula can be used to model it's path.

y equal left parenthesis v over u right parenthesis x plus left parenthesis fraction numerator g over denominator 2 u to the power of 2 end fraction right parenthesis x to the power of 2
where
y is the object's vertical distance (in feet) above from where it was thrown
x is the object's horizontal distance (in feet) away from where it was thrown

and
u is the objects' initial horizontal velocity
v is the object's initial vertical velocity
g is the force exerted by gravity.

Suppose a ball is launched from ground level (on level ground) with an initial horizontal velocity of 50 feet/second and an initial vertical velocity of 100 feet/second and that the force due to gravity was -32 feet/second2

a) Substitute those values into the given formula and simplify.

b) Find how far the ball is away when the ball hits the ground again. Show the equation you solved and tell or show how you solved it.

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

Question 1088689: Dear tutors help :
The points (2,v) and (1,-6) fall on a line with a slope of 10. What is the value of v?

v=
Thank You
Click here to see answer by MathLover1(20850)

Question 1088689: Dear tutors help :
The points (2,v) and (1,-6) fall on a line with a slope of 10. What is the value of v?

v=
Thank You
Click here to see answer by MathTherapy(10552)

Question 1088718: What is the nature of the solution to the equation x/(x+2)+2/(x+6)=1/(-1-x)(x+2)?
Click here to see answer by Fombitz(32388)

Question 1088756: For what constant k is 1 the minimum value of the quadratic 3x^2 - 15x + k over all real values of x? (x cannot be nonreal.)

Click here to see answer by Boreal(15235)

Question 1088756: For what constant k is 1 the minimum value of the quadratic 3x^2 - 15x + k over all real values of x? (x cannot be nonreal.)

Click here to see answer by Fombitz(32388)

Question 1088756: For what constant k is 1 the minimum value of the quadratic 3x^2 - 15x + k over all real values of x? (x cannot be nonreal.)

Click here to see answer by ikleyn(52790)

Question 1088783: Find two quadratic equations whose roots are 0 and -6.
Click here to see answer by ikleyn(52790)

Question 1088867: Suppose that the graph of f(x) = ax^2 + bx + c has x-intercepts (m, 0) and (n, 0). What are the x-intercepts of g(x) = � ax^2 � bx � c?
Click here to see answer by Fombitz(32388)

Question 1088908: Consider all the points in the plane that solve the equation x^2 + 2y^2 = 16. Find the maximum value of the product xy on this graph.
Click here to see answer by KMST(5328)

Question 1089020: can you tell me if my answer is correct or not. In this equations I found the GCF of 5 and 500 which is 5. I then divided by 5. My answer is x^2 + 100.

5x^2 + 500
GFC =5
Factors of 5
5*1

Factors of 500
500*1
250*2*1
125*2*2*1
25*5*2*2*1
5*5*5*2*2*1

Click here to see answer by ikleyn(52790)

Question 1089199: Write the quadratic equation whose roots are
−4
and
−5
, and whose leading coefficient is
3
.

Click here to see answer by josgarithmetic(39618)

Question 1089209: If both the roots of the quadratic equatin ax^2+bx+c=0 are infinite,then a=b=0 and
c not zero. Show how?
Click here to see answer by ikleyn(52790)

Question 1089414: A clown is riding a single wheel cycle along a highwire from point a to point B. These tow points are the same height, however as the clwon cycles the highwire decrease in height to a munimum point 2m above the ground. assume highwire represent parabolic curv.
Click here to see answer by ikleyn(52790)

Question 1089449: A clown is riding a single wheel cycle along a highwire from point a to point B. These tow points are the same height, however as the clwon cycles the highwire decrease in height to a munimum point 2m above the ground. assume highwire represent parabolic curv.�
Task: sketch this situation and then use the quadratic equation y=x^2-2x-3 to find the height from which the clwon begans his journey alnon the highwire.
Click here to see answer by ikleyn(52790)

Question 1089489: if the are of a rectangular field is 48 square meters and its perimeter is 32 meters, then what are the dimensions of the field
Click here to see answer by ikleyn(52790)

Question 1089503: 5x^6 � 8x^3 = 4
Click here to see answer by ikleyn(52790)

Question 1089640: Trying to determine the size of a rectangle when I was only given the square
Feet. I know only one dimension due to city regulations.
Height of fence is 6 feet. Square footage is 1,656. Need to determine length. Cannot remember how to solve this problem.
Thanks in advance for your help!

Click here to see answer by josmiceli(19441)

Question 1089686: Form graph equation for 2x-3y-12=0 thank you
Click here to see answer by ikleyn(52790)

Question 1089749: I need help finding the y-incept and the vertex for this quadratic function
f(x)=2x^2-x-1
Click here to see answer by ikleyn(52790)

Question 1089839: https://cedu-spw-p06.austin.utexas.edu/canvas-files/ALG-1B-66502/unit07/lsn04/U07L04EvGA9.pdf
Click here to see answer by ikleyn(52790)

Question 1089910: Hi! I'm stuck on how to solve this equation 4n^2+7=12n using the quadratic formula. Thank you!
Click here to see answer by josgarithmetic(39618)

Question 1089927: how do I Write the quadratic equation whose roots are 5 and −5, and whose leading coefficient is 1

Click here to see answer by math_helper(2461)

Question 1089996: Good evening Tutors can you please help me solve this problem. Much appreciated
A line that includes the points (1,w) and (3,-7) has a slope of -5. What is the value of w?
w=
Click here to see answer by josmiceli(19441)

Question 1089997:
HI! Can you please assist me with this problem. Thank you

A line has a slope of 8 and includes the points (10,9) and (a,1). What is the value of a?
a=
Click here to see answer by jim_thompson5910(35256)

Question 1090183: a number is 4 times the sum of its digits. the sum of their square is 45. What is the number?
Click here to see answer by Alan3354(69443)

Question 1090196: Find the roots of the quadratic function 12x = 4x^2 + 4
Click here to see answer by josgarithmetic(39618)

Question 1090196: Find the roots of the quadratic function 12x = 4x^2 + 4
Click here to see answer by ikleyn(52790)

Question 1090260: factor 2x^(2)-3x+3=0
Click here to see answer by greenestamps(13200)

Question 1090260: factor 2x^(2)-3x+3=0
Click here to see answer by ikleyn(52790)

Question 1090261: factor (1)/(x^(2))-(1)/(x)=6
Click here to see answer by ikleyn(52790)

Question 1090266: X/3+3/x=15/x
Click here to see answer by math_helper(2461)

Question 1090367: Solve for x: 3/�-2 - �/x-2= -4
(Algebraic equations)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1090354: Solve for x: 2x+5/3� - 6-�/3� +3�+2/3�=3/2 (algebraic equation)
Click here to see answer by greenestamps(13200)

Question 1090404: The graph of a quadratic function opens downward and its vertex is at (1,5). If A= -2,obtain the quadratic function expressed in general form.
Click here to see answer by Fombitz(32388)

Question 1090463: The equation y = -16t^2 - 18t + 405 describes the height (in feet) of a ball thrown downward at 18 feet per second from a height of 405 feet from the ground. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest tenth.
Click here to see answer by greenestamps(13200)

Question 1090500: Which of the following quadratic functions will have a minimum value?
a. h(x)=-(x+4)^2+8
b.g(x)=-5x^2+3x+7
c.f(x)=2x^2+9x-13
d.y=-(x-6)^2-15
Click here to see answer by Fombitz(32388)

Question 1090501: hi can somebody please help me with this question?
for what value(s) of k will the function g(x)=x^2+kx+1 have only one zero
A.0
B.2
C.-2,2
D. no values will work.
Thank you so much.
Click here to see answer by Fombitz(32388)

Question 1090503: Hi! can someone please help me out with this question?
Which of the following quadratic functions will have a minimum value?
a. h(x)=-3(x+4)^2+8
b.g(x)=-5x^2+3x+7
c.f(x)=2x^2+9x-13
d.y=-(x-6)^2-15
Thank you so much.
Click here to see answer by Fombitz(32388)

Question 1090505: Given f(x)=(x-2)^2+3, what is the inverse of the equation.

Click here to see answer by Fombitz(32388)

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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