Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 329011: Solve the following 3x^2-5x-13=0 what would the so;itions be and what would the x intercepts be?
Click here to see answer by stanbon(57361)

Question 329013: Solve by completing the square m^2-49/2m=1/2?
Click here to see answer by stanbon(57361)

Question 329015: solve for x providing exact answers using radicals as needed for the following equation x^2+12x+1=36
Click here to see answer by stanbon(57361)

Question 329015: solve for x providing exact answers using radicals as needed for the following equation x^2+12x+1=36
Click here to see answer by mananth(12270)

Question 329012: The lenghth of a rectangle is twice the width, the area is 288yd^2, what would the lenghth and width be?
Click here to see answer by mananth(12270)

Question 329014: what are the exact solutions and the approximate solutions for the equation x^2-7x+9=0? I am not sure how to find the answers
Click here to see answer by solver91311(16897)

Question 329077: A rectangular garden is to be surrounded by a walkway of constant width. The gardens dimensions are 24ft by 26 ft. The total area garden plus walkway is to be 1129ft^2. What must be the width of the walkway? round to the nearest thousandth if necessary.
The walkway must be _______ft wide.
Click here to see answer by mananth(12270)

Question 329083: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=4x^2-40x+104
Click here to see answer by Fombitz(13828)

Question 329089: Find the label the vertex and the line of symmetry. Graph the function f(x)=2(x-2)^2
Click here to see answer by Fombitz(13828)

Question 329092: Find the x-intercepts and y-intercepts. f(x)=-x^2+2x+8
Click here to see answer by checkley77(12569)

Question 329087: Write a quadratic equation having the given numbers as solutions -7 and -2
Click here to see answer by Fombitz(13828)

Question 329087: Write a quadratic equation having the given numbers as solutions -7 and -2
Click here to see answer by checkley77(12569)

Question 329084: A.) Solve 6x+x(x-2)=0
What are the solutions?
B.) find the x-intercepts of f(x)=6x+x(x-2)
What are teh x-intercepts?
Click here to see answer by checkley77(12569)

Question 329090: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=2x^2-8x+19
Click here to see answer by Fombitz(13828)

Question 329177: Create your own quadratic equation that cannot be solved by factoring, but can be solved using the quadratic formula. Identify the values of a, b, and c, and find the solutions using the quadratic formula. Show all work to receive credit.
Click here to see answer by solver91311(16897)

Question 329221: Hello,
I would greatly appreciate your help on these questions.
We have seen a parabola intersecting the x-axis twice and y-axis once.
1. Does any graph of any function intersect both the axes at least once? twice? or more?
2. How about a function that doesn't intersect any of the axes? Discuss with examples.
Thanks so much for your time!
Vanessa
Click here to see answer by Alan3354(30993)

Question 329116: Give exact and approx to 3 dec.pts. for x^2-7x+5=0: value of x,x^2+50=10: would I be right to factor this one first? m^2-1/2m=7/2 complete the square. I have no idea even how to start this one.f(x) 9x^2+12x+4 find x and y intercepts, 3x^2=2 solve for x and give x and y intercepts. I know not to factor this one but am lost as to what's next.
Click here to see answer by Fombitz(13828)

Question 329163: A museum director is trying to maximize profit. Current daily attendance is 500 people paying $30 each for a ticket. X represents the number of $5 increases in ticket price. How many $5 increases will provide the maximum income for the museum? Maximum capacity of the museum is 500 people which he meets daily.

I(x) = (500 – x) (500 + 5x)

Click here to see answer by nyc_function(2733)

Question 329265: Solve 2x^2-2x-1=0 by any method.
Click here to see answer by solver91311(16897)

Question 329265: Solve 2x^2-2x-1=0 by any method.
Click here to see answer by checkley77(12569)

Question 329277: I saw this problem in my textbook:
A rectangle has a perimeter of 42 miles and an area of 104 square miles. Find the dimensions of the rectangle.
Answer:
The formula for perimeter of a rectangle is,
P = 2*L + 2*W = 42
1.L+W=21
The formula for area of a rectangle is,
A=L*W=104
2.L*W=104
From eq. 1,
L=21-W
Substitute into eq. 2,
(21-W)*W=104
21W-W^2=104
You can factor this quadratic,
(W-13)(W-8)=0
Two solutions:
W-13=0
W=13 Then from above,
L+13=21
L=8
W-8=0
W=8
L=13
The rectangle is 13 miles by 8 miles.
MY BOOK HAS THE ANSWER OF LENGTH: 13 MILES; WIDTH: 8 MILES. MY QUESTION IS: Couldn't the answer also have been length: 8 miles; width: 13 miles?
Click here to see answer by solver91311(16897)

Question 329330: 2x^3-x^2-18x+9=0
Click here to see answer by stanbon(57361)

Question 329416: A carpenter is building a rectangle room with a fixed perimeter of 356 ft. What dimensions would yield the maximum area?
What is the maximum area?
Click here to see answer by Fombitz(13828)

Question 329425: the length of a rectanlge is twice the width. The area is 128yd^2. I know that A=2(L)+2(w). But with this equation wouldn't it be calcutaed differently? given the equation -0.4x^2+11.2x+14 for an event selling tickets. I know that the graph would open downward because of the negative 0.4x. Now it is asking the# if days since the 1st. day of tickets sold, when the sales peaked and how many sold that day. I'm assuming that the quadratic equation should apply here?
Click here to see answer by Alan3354(30993)

Question 329414: Aki's bicycle design had determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.4x+7.064 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Click here to see answer by nyc_function(2733)

Question 329588: For what value of c will 3 x^2 - 2x + c = 0 have exactly one distinct real root?
A -2/3 B -1/3 C 0 D 1/3 E 2/3
Click here to see answer by mananth(12270)

Question 329607: I really need help with this quadratic equation and check. Thank you for all your help.
1/4x² + 17/4 = 2x
Click here to see answer by Fombitz(13828)

Question 329607: I really need help with this quadratic equation and check. Thank you for all your help.
1/4x² + 17/4 = 2x
Click here to see answer by Theo(3464)

Question 329609: This problem says to find all real and imaginary solutions. I don't even know were to start, I know I need to use the quadratic. Thank you
x² + x + square x² + x - 2 = 0
Click here to see answer by Alan3354(30993)

Question 329600: If h (x) = a x 2 + bx + c, where b 2 - 4ac < 0 and a < 0, which of the following statements must be true?
I. The graph of h (x) has no points in the first
or second quadrants.
II. The graph of h (x) has no points in the third
or fourth quadrants.
III. The graph of h (x) has points in all quadrants.
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) None of the statements are true.
Click here to see answer by Theo(3464)

Question 329610: Here we go again. Quadratic equations. Find all real and imaginary solution by method of choice. These are hard for me to understand. Thank you.
2x - 5 = square 7x + 7
Click here to see answer by Alan3354(30993)

Question 329656: If the roots of a quadratic equation are -3/2 and 4/5 , find one possible equation.
Click here to see answer by stanbon(57361)

Question 329715: 2x^3+6x^2+3x+9
Click here to see answer by Earlsdon(6287)

Question 329742: Solve for x
x^2-x+1=0
x=
Click here to see answer by texttutoring(324)

Question 329743: Solve by completing the square
x^2+2x-3=0
x=
Click here to see answer by texttutoring(324)

Question 329740: f(x)=x^2-10x-5
Value=
x=
f(x)=
Is it max or min?
Click here to see answer by Alan3354(30993)

Question 329744: f(x)=3x^2-30x+79
value=
x=
Is it max or min?
Click here to see answer by Alan3354(30993)

Question 329741: f(x)=2x^2-8x+18
value=
x=
f(x)=
Is it max or min?
Click here to see answer by Alan3354(30993)

Question 329714: 3x^2=27
Click here to see answer by checkley77(12569)

Question 329713: x*2+12x-9=4x
Click here to see answer by checkley77(12569)

Question 329705: solve for t: at^2 + cz = b
Click here to see answer by checkley77(12569)

Question 329786: Solve the quadratic equation:
(x-1)^2+49=0
Click here to see answer by mananth(12270)

Question 329704: A. solve for x: x^2+50=10
B. 3x^2=2: solve for x and give x and y intercepts
C.3x^2-5x-7=0: solve for x and give x and y intercepts
D.N(x)=-0.4x^+11.2x+14 : give the value of x for the number of tickets sold, when they will peak and how many sold that day. could you please show me how this fits into the equation.
Click here to see answer by edjones(7569)

Question 329830: If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k?
(A) - 25/4 (B) -5/2 (C) -1/4 (D) 0 (E) 6

Click here to see answer by stanbon(57361)

Question 329912: the length of a rectangle is twice the width. the area is 392. what is the lenght and width
Click here to see answer by Alan3354(30993)

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, 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