Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 809: The equation ax^2 + bx + c = 0 can be solved using fromula method and this is a quadratic in x. my question is how to make x as subject in the equation
y= (4/x^2) + (5x + 8/x^2)
Click here to see answer by pushpaharan(47)

Question 837: In a quadratic equation word problem, how would you determine the a value?
Click here to see answer by pushpaharan(47)

Question 835: put each of the following i y=a(x-h)^2+k form and find the minimum value.
A. f(x)=x^2 +12x +50
B. g(x)=x^2 -6x+3
Click here to see answer by pushpaharan(47)

Question 832: how do you graph and solve this quadratic equation
-x2 + 3x - 2 = 0
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Question 856: Can you please explain to me how you find the answer to this problem: If two parallel sides of a square are increased by 6 cm and the other two parallel sides are each decreased by 1 cm, a rectangle is formed having twice the area of the square. How long was each side of the square?
Click here to see answer by usyim88hk(158)

Question 877: how do you do::
36 - 49p^2 = 0
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Question 850: The area of a square is 45 more square inches than its perimeter. Find the length of each side of the square.
Click here to see answer by usyim88hk(158)

Question 852: A 13-foot ladder is resting at an angle against a building. The distance from the bottom of the ladder to the edge of the building is 7 feet less than the distance from the top of the ladder down to the ground. What is the height at which the ladder touches the building and what is the distance from the bottom of the ladder to the building??
Click here to see answer by usyim88hk(158)

Question 1030: describe the shape and position of the graph of y = (x - h)^2 + g.
Click here to see answer by AnlytcPhil(1806)

Question 1063: "where would you expect the vertex on the graph of y = (x - 4)^2 + 5 to be?"
Click here to see answer by usyim88hk(158)

Question 1069: How do you solve 0=3x^2 -5x+1 ?
Click here to see answer by usyim88hk(158)

Question 1160: Show how to find the domain, range, x and y intercepts, and any asymptotes
for
G(x)= 1 + 2/(x-3)^2

Click here to see answer by khwang(438)

Question 1153: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Click here to see answer by khwang(438)

Question 1138: Hi can someone help me with determining the equation of the quadratic function
with a vertex of (3,5) and point (5,1)
and a parabola with the points (-1,4), (1, -2) and (2,1)
Thanks!
Click here to see answer by khwang(438)

Question 1112: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 600 square meters, what is the width of the path?
Thank you
Click here to see answer by khwang(438)

Question 1186: A golfer hits a ball that reaches a height of 24 metres after 2 seconds. If the ball stays in the air for a total of 6 seconds, what was its maximum height?
Click here to see answer by khwang(438)

Question 1171: a professional gardner was asked to plant 10 trees in the backyard of a wealthy client. The problem was that the trees must be planted in 5 rows each containing 4 trees. How does the gardener do it?
Click here to see answer by khwang(438)

Question 1134: A border of uniform width is built around a rectangular garden that measuers 29ft. by 44ft. The area of the border is 474ft. Find the width of the border.
Click here to see answer by khwang(438)

Question 1235: Show me how to work this.
|3x-4| > 11
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Question 1205: The roots of the equation px²+qx+q=0 are in the ratio m: n .
Prove that √m/n+√n/m+√q/p=0

Click here to see answer by khwang(438)

Question 1261: Solve the following equation:
(3/4)q - 12 = 4
Click here to see answer by lawrenceleong888(1)

Question 1212: An object is projected upward with an initial velocity of 98ft/second. The rise and fall of the object is given by the equation s=98t-4.9t2, where s is the height above the ground and t is the time from the object's launch. Find the maximum height and the time this occurs?
Click here to see answer by khwang(438)

Question 1282: i dont understand how you can turn this into a quadratic equation,
The sum of the squares of three consecutive integers is 434. Find the integers.
Help please.
- Alex
Click here to see answer by iamlegallyblond7(7)

Question 1278: How do you extract the roots from
Click here to see answer by iamlegallyblond7(7)

Question 1277: State the Value of the Discriminant Determine the # of real roots in the question. 4n^2+9=12n
Click here to see answer by iamlegallyblond7(7)

Question 1329: I have several questions.
1. Find a root of 1/2*x^2 + x + 1 - e^x = 0
2. Find two of the four zeros of x^4 + 2*x^3 - 7*x^2 + 3
3. Find the equation of parabola that passes through (-4,0) and (1,0).
4. Solve for x: cot x cos^2 x = 2 cot x. Give all the solutions.
5. Find the 5th root of 32 (cos 5*(pi)/6 + i sin 5*(pi)/6).
Please help!
Click here to see answer by khwang(438)

Question 1289: Jake, standing at one focus of a whispering gallery, is 6 feet from the nearest wall. His friend is standing at the other focus, 100 feet away. What is the length of this whispering gallery? How high is its elliptical ceiling at the center?
Click here to see answer by khwang(438)

Question 1356: solve by using the Quadratic Formula: x^2+11x+18=0
Click here to see answer by usyim88hk(158)

Question 1351: 5x^2-8=0???
Click here to see answer by usyim88hk(158)

Question 1323: what does the a, b, and c mean in the quadratic equation (ax^2+bx+c)?
Click here to see answer by usyim88hk(158)

Question 1358: How do I find the height of this quadratic word problem?
If a ball is thrown straight up with an initial velocity of 48 feet per second, its height s after t seconds is given by the equation s=48t-16tsquared. Find the maximum height attained by the ball and the time it takes for the ball to return to earth.
Click here to see answer by khwang(438)

Question 1388: I am in Algebra 1
I am confused about my homework.
f(x)= - 2/3 (x+2)^2 +1 This is one of the problems. I have to tell whether the parabola is going upward or downward. Then idenify A,H,K and vertex and give a rough draft of the graph.
We just learned this and I have 36 problems to do. We are not to follow the books instructions but the above instructions instead. I am lost! Can you get me started. Thank you. Another problem is f(x)= x^2+3
Click here to see answer by usyim88hk(158)

Question 1392: SOlve by completing the square : W squared - 4W = 17
Click here to see answer by usyim88hk(158)

Question 1391: Using completing the square what is x? x^2-14x+49 = 64
Click here to see answer by usyim88hk(158)

Question 1322: 100X=X2

4(X-3)2-3=0
Click here to see answer by usyim88hk(158)

Question 1315: What is the simplified radical expression or x^2-33 = -5
Click here to see answer by usyim88hk(158)

Question 1432: find the vertex of the parabola: y=4x^2-8x+5
Click here to see answer by khwang(438)

Question 1407: Model each problem with a quadratic equation. Then Solve.

The area of a triangular sail on a sailboat is 300ft squared. The ratioof the base of the sail to its height is 2:3. Find the dimensions of the sail.
Click here to see answer by khwang(438)

Question 1343: How do we solve 14x^2-3x????
Click here to see answer by DeepaEvangeline(15)

Question 1309: use i notation to express any nonreal complex numbers. How do I go about getting this answer? I don't understand this stuff! Thanks in advance 2x^2 � 6x + 1 = 0

Click here to see answer by JamieL38(6)

Question 1320: y=-5xsquared

Click here to see answer by smartdude17(30)

Question 1344: I have bean asked to consider in detail the question x2 =-5x-6
I know how to solve the equation, however I have a feeling I could be asked why you put it equal to zero? Could you please tell me the reason along with any answers to any other questions you think I may be asked.?It's for an interview for teacher training. Thankyou
Click here to see answer by abhinav75(8)

Question 1443: y = -3x(squared)
I need to find out the vertex, roots, if opens upward or downward, different points in order to graph parabola, and using the quadratic equation for something.
Click here to see answer by AnlytcPhil(1806)

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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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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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