Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 458254: find the vertex, line of symmetry, and maximum or minimum value of the quadratic function: f(x)= -2x^2 + 2x + 10
Click here to see answer by solver91311(16868)

Question 458307: Enter the quadratic equation in standard form. Use the caret (^) to enter exponents. For example, enter x2 as x^2.
2x2 - 12 + 2x = (x - 2)2 + 2
I have yet to learn how to do this..
Click here to see answer by rfer(12644)

Question 458352: Solve 4x^4+27x^2=7
Click here to see answer by robertb(4012)

Question 458365: Given that p and q are the roots of the quadratic equation 2x^2+2px=q^2,if p-q=6 find the value of pq,thanks~~
Click here to see answer by robertb(4012)

Question 458365: Given that p and q are the roots of the quadratic equation 2x^2+2px=q^2,if p-q=6 find the value of pq,thanks~~
Click here to see answer by josmiceli(9645)

Question 458756: I wasn't sure where to put this.
Consider only the discriminant, b^2-4ac, to determine whether one real-number solutions, or two different imaginary-number solutions exist.
x^2+3x+7=0
thanks for the help.
Click here to see answer by math-vortex(472)

Question 458800: Find the dimensions of a rectangle if its area is 72m squared and it's perimeter is 34m
Click here to see answer by amoresroy(333)

Question 458801: The sides of a right-angled triangle are 4x, 2x-2, 2x+7.
Find it's perimeter.
Click here to see answer by amoresroy(333)

Question 458927: 1. Something is wrong with the student’s work below.
Explain what the student did wrong.
Next, show how to simplify the fraction correctly.
The problem : x^2+6x+9 / x+3
Sara simplifies the expression as follows:
x^2+6(x is crossed out and replaced with ^1)+(9 is crossed out and replaced with 3) / (x is replaced with 1)+(3 is replaced with 1). It should look like this, x^2+6^1+3 / 1+1 = x^2+9, (x=-3)
Explain what the student did wrong.
Next, show how to simplify the fraction correctly.

Click here to see answer by richwmiller(9135)

Question 458849: Write a quadratic equation with -3/4 and 4 as its roots. Wite the equation in form ax^2 + bx + c = 0, where a,b and c are intergers.
Click here to see answer by ankor@dixie-net.com(15622)

Question 458970: Hi everyone
My problem is:
Give exact and approximate solutions to three decimal places
x^2+6x+9=25
Thanks you
Gina
Click here to see answer by ankor@dixie-net.com(15622)

Question 459135: In order to complete the square, what quantity should be added to both sides of the equation: x^2-14x=5
Click here to see answer by nerdybill(6948)

Question 459133: 4x^2-8x+2=0 need help with quadratic formula
Click here to see answer by rwm(914)

Question 459273: Solve using the quadratic equation:
X^2-4x-13=0
I have completed the calculation and was fairly confident of my solution, but it is wrong according to the answer key.
Click here to see answer by Gogonati(809)

Question 459277: I have one more problem to solve
Find the Vertex
f(x)=5-x^2
Thank you,
Gina
Click here to see answer by Gogonati(809)

Question 459254: Hi everyone,
Please help me on this problem.
Find the vertex, line of symmetry, is maximum or minimum and graph the function
f(x)=1/3(x+2)^2+1
Thank you so much
Gina
Click here to see answer by Gogonati(809)

Question 459299: 5RE_62.
The pages of a book measure 15cm by 20cm. Margins of equal width surround the printing on each page and constitute one half of the area of the page. Find the width of the margins.
Click here to see answer by studyden(2)

Question 459276: Hi,
Please help
write a quadratic equation with the solutions -10 and -1
Thank you
Gina
Click here to see answer by sudhanshu_kmr(1152)

Question 459655: Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for the entire trip, they would have arrived 30 minutes sooner. What was Loren's rate?
Click here to see answer by richwmiller(9135)

Question 459676: find the value of x to 3 d.p when:
x^2 + 20x = 400cm^2
Click here to see answer by Alan3354(30939)

Question 459792: 1.Find the value of "c" that makes the trinomial a perfect square: X^2-8x+c

Click here to see answer by richwmiller(9135)

Question 459791:
5.Find the value of "c" that makes trinomial a perfect square: x^2-8x+c

Click here to see answer by richwmiller(9135)

Question 459788: The sum of the length of the base and height of a triangle is 24 cm. If the Area of the triangle is 54 square cm, find the base and height
Click here to see answer by Gogonati(809)

Question 459813: What is the width of a uniform expansion needed all around to double the area of a 10cm by 15cm rectangle
Click here to see answer by mananth(12270)

Question 459845: The area of the front cover of a daily journal is 273cm squared, and the length is 8cm greater than the width. What are the dimensions of the cover?
Click here to see answer by emargo19(101)

Question 459867: I'm having trouble solving the following:
x3 + 2x2 - x - 2 = 0.
and
sqrt(1-3x)-1 = x
Click here to see answer by richwmiller(9135)

Question 459849: a rectangle has a perimeter of 46cm and an area of 120cm squared. find its dimensions by writing an equation and using the quadratic formula to solve it.
Thanks!
Click here to see answer by math-vortex(472)

Question 459334: Hi
Need help again.
Does this equation x^2-10=0 have
1real solution
2imaginary solutions
2 real solutions
Thanks
Gina
One more
E=lc^2 solve for c
Click here to see answer by ankor@dixie-net.com(15622)

Question 459979: For the following equation state the value of the discriminant and then describe the nature of the solutions 19x^2 +4x-13=0. What is the value of the discriminant and does it have one real solution two real solutions or two imaginary solutions?
Click here to see answer by rfer(12644)

Question 460003: I get Quadratic Equations, however I'm having trouble coming up with the answer in the book. It says find the rule of quadratic function whose grpah has hte given vertex and passes through given point.
Vertex (-1,-2) point (1,2)
Any help would be appreciated
Click here to see answer by MathLover1(6611)

Question 460010: (3/2+1/3)+(7/6-3/4)
Click here to see answer by rfer(12644)

Question 460031: Find all roots and check your answer to the equation 3x^2+5x=0
Click here to see answer by oberobic(2304)

Question 460073: I am having a hard time with quadratic equations, can someone help me.
Find the quadratic equaton that fits the following set of data points
((-1,-5),(-4,59),(-3,37))
Thank you
Click here to see answer by jim_thompson5910(28476)

Question 460080: write a quadratic equation in the variable x having the given numbers as solutions. type in standard form, ax^2+bx+c=o soultion :10, only solution
Click here to see answer by jim_thompson5910(28476)

Question 460093: solve using the square root property. 3(x+9)^2-81=0
Click here to see answer by jim_thompson5910(28476)

Question 460095: Solve quad equation
2x^2-4x=-2x
Click here to see answer by jim_thompson5910(28476)

Question 460097: This is the correct email address to response to:
Solve quad equation. 2x^2-4x=2x
Click here to see answer by algebrahouse.com(1079)

Question 460102: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions
8x^2 + 7x + 3 = 0
Click here to see answer by jim_thompson5910(28476)

Question 460108: Hi, I am new to this site, can someone help me. I have not had math in years and I am terrible at it.
My question is: Find the quadratic equations that fits the following set of data points. ((-1,5),(-4,59),(-3,37))
Thank you
Click here to see answer by jim_thompson5910(28476)

Question 460114: 9. The length of a rectangular garden is 2 yd greater than the width. The area is 80 yd2. Find the length and width.

Click here to see answer by richard1234(5390)

Question 460083: find a quadratic equation with the given solution:
a)3 + or - sqrt of 5
b)(1 + or - sqrt of 5)/2
Click here to see answer by Alan3354(30939)

Question 460233: To solve a quad equation
Wouldn't it be:
2x^2-4x=-2x set = to zero
2x^2-4x+2v=0
GCF 2(X-1)(X-1)
X= +1
and NOT:
2x² - 4x = 2x
2x² - 6x = 0 {subtracted 2x from both sides}
2x(x - 3) = 0 {factored out the greatest common factor, 2x}
2x = 0 or x - 3 = 0 {set each factor equal to 0}
x = 0 or x = 3 {solved each equation for x}
Click here to see answer by stanbon(57214)

Question 460257: Tickets sold = -0.2x^2+12x+11
x=1 is the day tickets go on sale. Use the quadratic equation to determine the last day tickets will be sold. I replaced x with 1 in the equation above to determine 22.8 tickets were sold on day one, but I'm not sure that is correct. How do I find out the last day tickets were sold? Can you show the work so I can understand how to find the answers? Thanks so much. =)
Click here to see answer by ankor@dixie-net.com(15622)

Question 460460: divide and simplify: c^6/c^15
Click here to see answer by Tatiana_Stebko(1326)

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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