Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 376022: what rate of interest would one need in order to double one's investment in 8 years if interest is compounded daily.
Click here to see answer by mananth(12269)

Question 376027: solve
x^2 + (x+7)^2 = 169
Click here to see answer by nerdybill(6948)

Question 375999: 2x-3y=9
Click here to see answer by nyc_function(2733)

Question 375877: Use synthetic division to determine f(4), if f(x)= -2x^3-7x^2+4x+6
Click here to see answer by nyc_function(2733)

Question 375518: a. solve 8x+x(x-6)=0
b. find the x-intercept f(x)=8x+x(x-6)=0
Click here to see answer by nyc_function(2733)

Question 376133: f(x)=x²-4x-5
Click here to see answer by mananth(12269)

Question 376133: f(x)=x²-4x-5
Click here to see answer by checkley79(3039)

Question 375890: Pauline wants to sell stainless steel water bottles as a school fundraiser. She knows that she will maximze prophits and raise 1024 dollars if she sells the bottles for 28 dollars each. she also knows that she will lose 4160 dollars if she sells the bottles for only 10 dollars each.
a) Write a quadratic relation to model her profit. P in dollars if she sells the bottles for x dollars each
b) What selling price will ensure that she breaks even
Click here to see answer by ankor@dixie-net.com(15622)

Question 376104: Can somebody help me with the following
Find df=dx for the following functions:
f(x) =
ln(1 + x^2)/1 + x^2
Cheers
Click here to see answer by Fombitz(13828)

Question 376103: Hi can somebody please help with the below, and be as kind as to talk me through the steps, i am totally confused with this.
Find dy=dx as a function of x and y when:
i) x^2y^3 - x^2 + 3y - 3 = 0
ii)(1 - x^2) tan^-1 y = 3
Really appreciate this.
Thanks

Click here to see answer by Alan3354(30924)

Question 376185: x^2+4x+3/x^2-3x+2*x-1/3x+3
Click here to see answer by Fombitz(13828)

Question 376228: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by Fombitz(13828)

Question 376238: A carpenter is building a rectangular room with a fixed perimeter of 40 ft. What dimensions would yield the maximum area? What is the maximum area?
Click here to see answer by Alan3354(30924)

Question 376236: Hi Everyone, stuck in again on a weekend doing my maths !, having problems with this one please can someone help
A circular-cylindrical oil drum is required to have a given surface area S (including its lid and base), ie S is a constant. Find the proportions of the design which contain the greatest volume V .
Thank You
John
Click here to see answer by ankor@dixie-net.com(15622)

Question 376255: A window washer accidentally drops a bucket from the top of a 144 meter building. The height h of the bucket after t seconds is given by the formula . When will the bucket hit the ground?

Click here to see answer by ankor@dixie-net.com(15622)

Question 376333: How do we solve the following problem using factorization?
The sum of the squares of two consecutive integers is 13 Find the integers.
Click here to see answer by robertb(4012)

Question 376338: how do i write a quadratic expression from the answer, the answer being; - sqrt(5), 6 sqrt(5) ??
please demonstrate so i can learn this.
Click here to see answer by jim_thompson5910(28476)

Question 376206: Hi can somebody please help with the below, and be as kind as to talk me through the steps, i am totally confused with this.
Find dy/dx as a function of x and y when:
i) x^2y^3 - x^2 + 3y - 3 = 0
ii)(1 - x^2) tan^-1 y = 3
Really appreciate this.
Thanks
Click here to see answer by robertb(4012)

Question 376453: describe how to solve it using factorization and zero factor property.
x^2 -x - 6 = 0
Click here to see answer by Fombitz(13828)

Question 376477: describe how to solve by factoring:
1. y^3 + 2y^2 -y -2
2. a^4 b + ab^4
Click here to see answer by ankor@dixie-net.com(15622)

Question 376647: Can someone please help with the following?
Use the quadratic formula to solve the equation.
2x^2-3x=-6
(Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
Click here to see answer by jim_thompson5910(28476)

Question 376663: a soccer ball was kicked from the ground and its height in meters above ground is modeled by the function h(t)=-4.9t^2+19.6t where t represents the time in second after the ball is kicked how long is the ball in the air
Click here to see answer by mananth(12269)

Question 376649: Find two numbers whose sum is 10 and product is 18.
Click here to see answer by mananth(12269)

Question 377298: x squared + 7x + 3 = 0
solve by completing the square
Click here to see answer by Fombitz(13828)

Question 377369: SOlve the quadratic equation
5x^2+x+2=0
Click here to see answer by Fombitz(13828)

Question 377448: Solve the quadratic equation x2-x-1=0
Click here to see answer by user_dude2008(1861)

Question 377451: write a quadratic equation, the solutions are -10,5
Click here to see answer by mananth(12269)

Question 377490: Hi Can somebody please help me with this problem
Confirm that the point P(1,1) lies on the curve with equation x^3-y^2+xy-x^2=0 and find the values of dy/dx and d^2y/dx^2 at that point.
Please explain steps if anyone is so kind as to help
Thank you
Click here to see answer by Fombitz(13828)

Question 377542: What is the vertex for the function y=-3x^2+6x
Click here to see answer by Fombitz(13828)

Question 377619: Solve for x.2x^2=-5x-3

Click here to see answer by Bit(1)

Question 377581: Hi
will somebody be so kind as to help with this particular problem, really finding it difficult

In an underground telephone cable the ratio of the radius of the core to the thickness of the protective sheath
is denoted by x. The speed v at which a signal is transmitted is given by
v = Kx^2 ln(1/x)
where K is some positive constant. Show that
dv/dx= Kx [2 ln(1/x)- 1]
and hence show that the maximum speed of transmission is K/(2e).
Thank you very much!
Click here to see answer by Fombitz(13828)

Question 377574: Determine the nature of the solutions of the equation.
y^2=2/3y+5/7
Click here to see answer by Fombitz(13828)

Question 377684: A parabola has the following characteristics:
zeros = 10,30
axis - x = 20
vertex - (20, -10)
y-intercept = 30
The equation for the factored form quadratic relation is y = a(x-r)(x-s)
What is the equation? Please explain thoroughly.
Click here to see answer by Fombitz(13828)

Question 377688: Hi
Can somebody please help me with these, i have attempted them and have answers in mind but unsure?
Find df/dx for the following functions
i) f(x)= sin(3x-1) I got = cos(3x-1).3
ii) f(x)= sqrt(x^4+1) I got = 1/2(1+x^4)^-1/2.4x^3
iii)f(x)=x/(x+1)^3
Finally
f(x)=tan(x^2+2)
Would appreciate some help on these a great deal
Thanks
Click here to see answer by Fombitz(13828)

Question 377633: Solve
3x^2=4x-1
Click here to see answer by ewatrrr(10682)

Question 377702: Hello.
Confuse a bit with this,
Find and classify the stationary points of the curve y = x^5 - x^3 and hence sketch the curve between the
points x = -1 and x = 1.
I Got so far
Local minimum when x-0.775 and y = -0.186
Thanks in advance
Click here to see answer by robertb(4012)

Question 377744: Solve the equation
log(x+1)-log(x+2)=log(1/x)
Click here to see answer by robertb(4012)

Question 377744: Solve the equation
log(x+1)-log(x+2)=log(1/x)
Click here to see answer by stanbon(57203)

Question 377749: if the product is 120 and the sum is 50 what are the two numbers

Click here to see answer by Alan3354(30924)

Question 377876: Please help me. I need to find write the quadratic function for a given set of points (0,-4)(1,0)(2,2). I keep getting different answers.
Click here to see answer by robertb(4012)

Question 377907: the answers are -9 and 1, i am trying to understand this process, so x = -9 and x = 1, so x^2(x -9)(x 1) so x^2 + 3x -9 = 0 ???
i must be doing something wrong and i need help...
Click here to see answer by edjones(7569)

Question 377910: x^2 + 8x + 12= 0
Click here to see answer by robertb(4012)

Question 377910: x^2 + 8x + 12= 0
Click here to see answer by mananth(12269)

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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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