Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 320461: Help please. I understand how to get the answers from quadratic equations. My problem is writing a quadratic equation from the solutions: 3+4i, 3-4i. This has me stumped.
Click here to see answer by ankor@dixie-net.com(22740)

Question 320538: Simplify how?!
[(-x to the 3rd power)to the 2nd power]to the 3rd power
Click here to see answer by Alan3354(69443)

Question 320559: help me solve equation (3x^2+49x+72) in form (3x+ ) (x+ )
Click here to see answer by jim_thompson5910(35256)

Question 320619: Two negative intergers have the sum of -13 and a product of 42. What are the interges?
Click here to see answer by solver91311(24713)

Question 320754: Find the vertex and type in an ordered pair.
Problem:

f(x) = x^2 - 8x - 1
Thanks in Advance!!
Click here to see answer by solver91311(24713)

Question 320766: Find the x and y intercepts.
Use a comma to separate answers or type N is there is no intercept.
Problem:
f(x) = -x^2 + 5x + 14

Thanks a lot!
Click here to see answer by solver91311(24713)

Question 320764: Find the vertex (ordered pair), the line of symmetry, and the maximum or minimum value of the quadratic function.
Problem:
f(x) = 5 - x^2
Thank you!!
Click here to see answer by solver91311(24713)

Question 320763: Find the vertex, line of symmetry, and the maximum or minimum value of the quadratic function.
Problem:
f(x) = -2x^2 + 2x + 9
Type in a simplified fraction
Thank you!!!
Click here to see answer by solver91311(24713)

Question 320758: Find the vertex and type in an ordered pair.
Problem:
f(x) = 3x^2 - 12x + 21
Thanks for your help!!
Click here to see answer by Fombitz(32388)

Question 320785: Any help with the following word problem would be great. I just really need the help setting up the problem.
A gardener has a rose garden that measures 30 feet by 20 feet. He wants to put a uniform border of pine bark around the outside of the garden. Find how wide the border should be if he has enough pine bark to cover 336 square feet.
Click here to see answer by Earlsdon(6294)

Question 320743: (1)What does the Principle of Zero Products state? How is it used to solve a quadratic equation?
(2)Explain how to complete the square on x2 + 14x. Then write the resulting perfect square trinomial as the square of a binomial.
Click here to see answer by Earlsdon(6294)

Question 320854: what if we have a common denominator, and we are subtracting?
For example:
4x - 3 3x - 4
------------ - -----------------
x - 5 x - 5
How would you proceed? What is your final answer?

Click here to see answer by jim_thompson5910(35256)

Question 320886: One leg of a right triangle is 7 cm less than the length of the other leg. The length of the hypotenuse is 13 cm. Find the lengths of the legs.
Click here to see answer by mananth(16946)

Question 320892: two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 2 meters wide and 18 meters long. How large is one of the square shed in meters?
Click here to see answer by mananth(16946)

Question 320755: Find the vertex and type in an ordered pair.
Problem:
f(x) = -x^2 + 4x + 5
Thanks very much!
Click here to see answer by Fombitz(32388)

Question 321011: I have tried and can't figure this one out. Please help.
x-5(sqrt x)+4=0
Click here to see answer by Fombitz(32388)

Question 321012: Complex Fraction: Problem type 2
Simplify as much as possible
w_____
w+5w
_______
1+4
_____
w+1
Click here to see answer by Fombitz(32388)

Question 321059: Can you please help me with this problem Simplify: (5c^2)(-6c^6d^3)
Click here to see answer by stanbon(75887)

Question 321059: Can you please help me with this problem Simplify: (5c^2)(-6c^6d^3)
Click here to see answer by JBarnum(2146)

Question 321057: "Can you Please simplify 6sqrt5*4sqrt10." i only got to 24sqrt50 and then i forget what to do!
Click here to see answer by stanbon(75887)

Question 321055: 1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this? The graph down I determined this because it

b. Describe what happens to the tickets sales as time passes.
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by stanbon(75887)

Question 321252: write a quadratic equation having the given numbers and solutions. -10 and -1. I don't think that this can be done with these given numbers. Help.
Click here to see answer by ankor@dixie-net.com(22740)

Question 321265: Solve for:
6x + x(x - 4)
Instructions: Simplify, type exact answers using radicals as needed, express numbers in terms of i and use a comma to separate answers.
Thank you!!
Click here to see answer by checkley77(12844)

Question 321264: Give exact and approximate solutions to three decimal point places.
x^2 - 7x + 5 = 0
Use radicals as needed and separate answers with a comma.
Thanks!!
Click here to see answer by checkley77(12844)

Question 321260: Please solve by completing the square:

m^2 = 25/2m = 5/2
Use radicals as needed and use comma to separate snawers.
Thanks much!
Click here to see answer by checkley77(12844)

Question 321273: Find and label the vertex (ordered pair) and the line of symmetry.
f(x) = 1/5 x^2
Click here to see answer by Earlsdon(6294)

Question 321266: Give an exact and approximate solutions to three decimal points.
y^2 - 18y + 81 = 64
Type an exact number, use radicals if necessary, rationalize all denominators, express complex terms in terms of i, and use comma to separate.
Thank you!!
Click here to see answer by jim_thompson5910(35256)

Question 321282: Solve by completing the square
m^2 - 25/2 m = 5/2
Use radicals as needed and separate with a comma.
Thank you so much!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 321287: what is the y intercept of y= -2(x-3)^2 +4
when I calculated: y= -2(0-3)^2 +4
y= -2(-3)^2 +4
y= -2(9) +4
y= -18+4
y= -14
but when i use my graphing calculator i get y=-5
Click here to see answer by Earlsdon(6294)

Question 321271: Solve for x
Type an integer or simplified fraction, and use a comma to separate answers.
6x^2 = -25x - 4
Thanks very much!!

Click here to see answer by scott8148(6628)

Question 321378: Time in the air. A ball is tossed into the air from a height
of 12 feet at 16 ft/sec. How long does it take to reach the
earth?

Click here to see answer by Alan3354(69443)

Question 321460: Give exact and approximate solutions to three decimal places.
(x-12)^2=20
Click here to see answer by checkley77(12844)

Question 321477: h=-16t^2+112t+144.Where t is the time in seconds after it was propelled. when does it hit the ground?
Click here to see answer by jim_thompson5910(35256)

Question 321502: Solve by quadratic forumula and simplify:
x^2=2/3x
If you can help with this equation, much appreciated. I "think" I would solve by first getting rid of the fraction, to then get 3x^2-6x=0
But I could be wrong, can you please tell me how I would solve this.
Click here to see answer by jim_thompson5910(35256)

Question 321516: 4-x/(x-2)=-2/(x-2)
Click here to see answer by jim_thompson5910(35256)

Question 321580: can you sole this please: sqrt X+4 - sqrt X-1 = 2/sqrt x-1
Click here to see answer by mananth(16946)

Question 321777: Convert to Decimal Notation.
Simplify and type an integer or decimal.
8.55 * 10^7
Thank you!!
Click here to see answer by stanbon(75887)

Question 321789: 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
Problem:
Solution: 2, (only solution)
Thank you!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 321870: Solve the quadratic equations by taking the square roots:
Click here to see answer by Fombitz(32388)

Question 321888:
Two solutions:

.
.
.

Click here to see answer by Fombitz(32388)

Question 321869: Solve the quadratic equations by taking the square roots: (X^2 - 5) + 4 = 0
Click here to see answer by ehollins1(8)

Question 322027: one factor of x^3 + 1 is (x + 1). what is the other factor ?
Click here to see answer by nyc_function(2741)

Question 322027: one factor of x^3 + 1 is (x + 1). what is the other factor ?
Click here to see answer by Jk22(389)

Question 322057: Evaluate the polynomial for x = 3
Simplify.
3x^2 - 5x + 5 =
Thank you very much!!!
Click here to see answer by Jk22(389)

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, 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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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