Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 548375: What is the minimum product of two numbers whose difference is 30?
Click here to see answer by Alan3354(30993)

Question 548436: Enter the quadratic equation in standard form
x2 - 5x - 5 = 2x + 3

Click here to see answer by Maths68(1474)

Question 548518: -56=(2r-21)(r+1)
Click here to see answer by oberobic(2304)

Question 548608: There are two facing pages, The product of the page number is 1190. Find the page numbers of the first page and second page?
Click here to see answer by mananth(12270)

Question 548608: There are two facing pages, The product of the page number is 1190. Find the page numbers of the first page and second page?
Click here to see answer by stanbon(57377)

Question 548604: Write a quadratic equation with roots {-4,7}.
Click here to see answer by mananth(12270)

Question 548605: Give exact and approximate solution to three decimal places.
(x-5)^2=12
Solve by completing the square,
m^2-25/2m=5/2

Click here to see answer by mananth(12270)

Question 548636: The lenght of a five-pound note is 5 mm less than twice the width. The area is 9450 mm sq. Find the dimensions of five-pound note.
Click here to see answer by Earlsdon(6287)

Question 548620: REPRESENT THE GIVEN SITUATION IN THE FORM OF QUADRATIC EQUATION-
THE HYPOTENUSE OF A RIGHT TRIANGLE IS 1M LESS THAN TWICE THE SHORTEST SIDE.IF THE THIRD SIDE IS 1M MORE THAN THE SHORTEST SIDE.
Click here to see answer by nerdybill(6962)

Question 548713: I need to find all zeros.
13x(exponent 3)-185x(exponent 2)+608x-508
Click here to see answer by stanbon(57377)

Question 548728: use the quadratic formula to solve:
x^2-3x=-3
Click here to see answer by jim_thompson5910(28595)

Question 548842: show me how to solve this equation 2(x-8)^ 2+x^2=x(x=51)-43x
Click here to see answer by oberobic(2304)

Question 548869: I need to know the discriminant of a parabola whose associated values are (-4,0(2,0)AND WHOSE VERTEX IS (-1.-9)ASAP? Please include the formula and show your work. MY E-MAIL ADDRESS IS jhami128@comcast.net
Click here to see answer by Alan3354(30993)

Question 548885: write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. The solutions are -4,2
Click here to see answer by mananth(12270)

Question 548898: The number of tickets sold each day for an upcoming performance of Handel's Messiah given by N(x)=-0.5x^2+15x+12, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Click here to see answer by mananth(12270)

Question 548975: solve the equation by completeing the square:
7x^2+10x=-2
Click here to see answer by mananth(12270)

Question 548975: solve the equation by completeing the square:
7x^2+10x=-2
Click here to see answer by josmiceli(9691)

Question 548975: solve the equation by completeing the square:
7x^2+10x=-2
Click here to see answer by mathie123(224)

Question 549064: Solve X^2 + 11 = 6x
Click here to see answer by jim_thompson5910(28595)

Question 549064: Solve X^2 + 11 = 6x
Click here to see answer by KMST(1869)

Question 549193: Solve using the quadratic formula:
-8x^=27x-5=1-x
Click here to see answer by mananth(12270)

Question 549292: A garden measuring 12 meters by 16 meters is to have a pedestrain pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?.
Click here to see answer by mananth(12270)

Question 549343: 1.find all the zeros of the function and write the polynomial as a product of linear factors
A. fix)=x3 + 1\x2 +39x+29
B. gix)=x5 -8x4 +28x3 -56x2 +64x-32
2. find a polynomial function with integer coefficients that has the given zeros.
A. 0, 0, 4, 1 + i
3. use the given zero to find all the zeros of the function.
A. (x)=x3 +x2 +9x+9 zero= r=3
4.(a) use the root or zero feature of a graphing utility to approxi- mate the zeros of the function accurate to three deci- mal places, and (b) determine one of the exact zeros, use synthetic division to verify your result, and find the exact values of the remaining zeros.
A. fix) = x3 + 4x2 + 14x + 20
Click here to see answer by solver91311(16897)

Question 549395: Convert Standard equations to vertex form:
-3x^2-60x-294

*Step by step
Click here to see answer by KMST(1869)

Question 549468: solve for x
i) (3x-4)(x+1)=2
ii) x-2/x-1=5/x , x#0,x#1
Click here to see answer by mananth(12270)

Question 549515: solve for x
(x-2)/(x-1)=5/x, x#0, x#1
Click here to see answer by stanbon(57377)

Question 549521: A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?
Click here to see answer by mananth(12270)

Question 549585: Marie is 4 years younger than Julie. In 3 years the product of their ages will be 410. How old are they?
Marie= x-4
Julie= x
julie= (x+3)
marie= x-4+3 = (x-1)
(x+3)(x-1)= 410

Click here to see answer by stanbon(57377)

Question 549599: This is an assigned question I do not understand. Answer choices b - e are divided by 2. Please help!!!!
1. Which of the following represents the area of the region in Quadrant I bounded by the lines x = 0, y = 0, x = c, and y = kx + b, where a, b, c, and k are all positive numbers?
a. ckx + cb
b. cb + kc / 2
c. 2bc + kc /2
d. 2bc + kc2 /2
e. 2b + kc2 / 2

Click here to see answer by solver91311(16897)

Question 549684: What should be the range of the value of k so that the equation 2x2+3kx-9=0 will have real and unequal roots?
What should be the value of k so that the equation x2+(k-2)x+4=0 will have equal roots?
Find the range of the value of k so that the equation kx2+4squareroot of 3x+k=0 will have imaginary roots.

Click here to see answer by KMST(1869)

Question 549712: How do you solve this quadratic equation? It doesn't appear in the standard quadratic form so I'm unsure how to solve the problems I have like this one problem. I do know how to solve the ones that look like f(x) = a x^2 + b x + c ; please help me with this:
x^3-2x^2+5x-6=0
Click here to see answer by mananth(12270)

Question 548600: The solutions of x^3 – 2x^2 + 3x + 4 = 0 are a, b, and c. what is the numerical value of (a + b)(a + c)(b + c) ?

Click here to see answer by richard1234(5390)

Question 549807: x^2+x-110=0
Click here to see answer by jim_thompson5910(28595)

Question 549834: Express f(x)=4x^2-12x+5 in factored form and determine the x intercepts, the vertex and sketch the graph of the function
Click here to see answer by stanbon(57377)

Question 549931: X^2-13x-12=0
what is x?

Click here to see answer by jim_thompson5910(28595)

Question 549931: X^2-13x-12=0
what is x?

Click here to see answer by nerdybill(6962)

Question 549912: select a natural number between 1 to 50. square the digits and add. repeat this process until you see a pattern.
What other numbers end with one?
What happen if you do the process to number 37?
What conclusion can you give?
Click here to see answer by richard1234(5390)

Question 549192: write the quadratic function in vertex form:
y=2x^2+11x+8
Click here to see answer by jim_thompson5910(28595)

Question 549655: In the accompanying diagram of parallelogram
ABCD, m∠A = (2x + 10) and m∠B = 3x. Find the
number of degrees in m∠B.
Click here to see answer by nyc_function(2733)

Question 549658: In the accompanying diagram of parallelogram
ABCD, m∠A = (2x + 10) and m∠B = 3x. Find the
number of degrees in m∠B.
Click here to see answer by nyc_function(2733)

Question 550027: A multiple choice test consists of 10 questions, each question with five possible answers but only one correct answer. In how many different ways can a student check off one answer to each question? In how many different ways can a student check off one answer to each question and get all the answers wrong?
Click here to see answer by stanbon(57377)

Question 549686: john travelled 400 km from manipulate to a nearby proving. if in returning home he reduced his speed by 96m and able to reach manipulate 2 hours more time than going to the proving, what was his original speed?
Select a natural numbers between 1 to 50. square the digits and add. repeat this process until you see a pattern.
what other numbers end with one?
what happen if you do the process to number 37?
what conclusion can you give?

Click here to see answer by mananth(12270)

Question 550108: If 9x+18 = 16x and bx = 99, what is the value of b?

Click here to see answer by jim_thompson5910(28595)

Question 550111: What is the sum of all positive integer values of n such (n+20)/n is an integer ?
Click here to see answer by jim_thompson5910(28595)

Question 550112: The natural number n is the smallest number satisfying the following properties: when divided by 3 remainder is 1,when divided by 4 remainder is 2,when divided by 5 remainder is 3,when divided by 6 remainder is 4,what is the remainder in case of division by 7?
Click here to see answer by ankor@dixie-net.com(15657)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250