Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 248471: Solve the quadratic equation for x by the square root:
x squared + 8 = 3

Click here to see answer by jsmallt9(3296) About Me 

Question 248212: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state.
x^2 + 7x + 2 = 0

Click here to see answer by ankor@dixie-net.com(15622) About Me 

Question 248605: solve this equation by completing the square:
1x^2/4+ 1x/16+ 1/8= 0

Click here to see answer by jsmallt9(3296) About Me 

Question 248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.
Click here to see answer by josmiceli(9645) About Me 
Question 248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.
Click here to see answer by dabanfield(803) About Me 

Question 248646: Solve for t
h = 16t^2 + vt + s

Click here to see answer by College Student(505) About Me 

Question 248645: Evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16

Click here to see answer by checkley77(12569) About Me 

Question 248643: The current in a stream moves at a speed of 3mph. A boat travels 45mi upstream and 45 mi downstream in a total time of 8 hours. What is the speed of the boat in still water?
Click here to see answer by checkley77(12569) About Me 
Question 248643: The current in a stream moves at a speed of 3mph. A boat travels 45mi upstream and 45 mi downstream in a total time of 8 hours. What is the speed of the boat in still water?
Click here to see answer by dabanfield(803) About Me 

Question 248701: I am supposed to write a quadratic equation in the variable x having the given numbers as a solution. I am supposed to type the equation in standard form, ax^2 + bx + c = 0. The solution is 2.
Click here to see answer by jim_thompson5910(28476) About Me 

Question 248717: Indicate the axis of symmetry of the parabola
y = x^2 + 8x + 20

Click here to see answer by edjones(7569) About Me 

Question 248712: Solve the equation using the quadratic formula.
2x^2 = 30

Click here to see answer by dabanfield(803) About Me 

Question 248816: How do I factor 12x^2 - 10x - 42 = 0?
Click here to see answer by jim_thompson5910(28476) About Me 

Question 248799: x^2-x=7
what is the answer to this

Click here to see answer by tutorcecilia(2152) About Me 

Question 248829: A flagpole is secured on opposite sides by two guy wires, each of which is 6 ft longer than the pole. The distance between the points where the wires are fixed to the ground is equal to the length of one guy wire. How tall is the flagpole (to the nearest inch)?
Click here to see answer by dabanfield(803) About Me 

Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0.

Click here to see answer by josmiceli(9645) About Me 
Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0.

Click here to see answer by tutorcecilia(2152) About Me 

Question 248853: Write the equation of the parabola that has the same shape as y = x2 but that has a vertex of (-3, -2)

Click here to see answer by dabanfield(803) About Me 

Question 248831: 1. x2 - 8x + 16 = 36
2. 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. 3 + 8z2 = -7z

Click here to see answer by oberobic(2304) About Me 

Question 248864: Solve the equation.
15r^2 = 3r

Click here to see answer by tutorcecilia(2152) About Me 

Question 248905: I can't get my equation in the right order, the 0 is confusing me:
4x2-9=0 the first part is four x squared.==> 4x^2-9=0
equation rewritten as 4x^2-9=0

Click here to see answer by chosenpoint(26) About Me 

Question 248881: Mixture problem: how many liters of 10% solution and how many liters of 20% solution must be mixed to obtain 20 liters of a 17.5% solution? show equations and solve
Click here to see answer by nerdybill(6948) About Me 

Question 248863: Write standard form and identify a, b, and c.
4x^2 + 4 = 2x + 3

Click here to see answer by tutorcecilia(2152) About Me 
Question 248863: Write standard form and identify a, b, and c.
4x^2 + 4 = 2x + 3

Click here to see answer by Alan3354(30937) About Me 

Question 249015: y= 4x squared +16x+7
Click here to see answer by dabanfield(803) About Me 

Question 248981: 10x2 - 19x +6
Click here to see answer by edjones(7569) About Me 

Question 248967: I have two problems that I would love some help on. I am so confused.
Solve for x: 4x^2 = - 25x - 25

Solve by completing the square: m^2 - 49/2m = 1/2
Thank you in advance!!

Click here to see answer by edjones(7569) About Me 

Question 249184:
Click here to see answer by mathitutor(25) About Me 

Question 249182: Calculate the discriminant of 9x^2+5x-11=0

This is what I already tried:
5x^2-4(9)(-11)
25-4(9)(-11)
25-396
-371

Click here to see answer by Alan3354(30937) About Me 

Question 249211: Write a Quadratic Function having the given solutions:6,-2.
Click here to see answer by ankor@dixie-net.com(15622) About Me 

Question 249326: If one side of a square is increased by 2 inches and an adjacent side is decreased by 2 inches, the area of the resulting rectangle is 32 square inches. Find one side of the square.
Click here to see answer by checkley77(12569) About Me 

Question 249346: The question says factor completely. it is asking 3x^2-7x-6 and i came out with x=3 and x=-0.67 but what would i put on the answer line because what would be the complete factoring of it?
Click here to see answer by jim_thompson5910(28476) About Me 

Question 249348: the length of a rectangle is three times its width. if the width is diminished by 1 inch and the length is increased by 3 inches, the area of the new rectangle is 72 square inches. find the dimensions of the original rectangle.
Click here to see answer by checkley77(12569) About Me 

Question 249368: okay so it says factor completely and it is 2x^3+40x^2+220x . I'm so confused about the cubing part of it, I've never seen it before. I've only factored squared numbers. Can you please help me and show work so i can understand it better? thank you! ;)
Click here to see answer by checkley77(12569) About Me 
Question 249368: okay so it says factor completely and it is 2x^3+40x^2+220x . I'm so confused about the cubing part of it, I've never seen it before. I've only factored squared numbers. Can you please help me and show work so i can understand it better? thank you! ;)
Click here to see answer by richwmiller(9135) About Me 

Question 249359: please factor completely and explain! im so confused! the question says factor completely --> 3x^3+39x^2+120x help!
Click here to see answer by scott8148(6628) About Me 

Question 249371: Solve the equation.
x(x - 3) = 40

Click here to see answer by richwmiller(9135) About Me 

Question 249381: Harry's garden is 6 yards long and 4 feet wide. He wishes to double the area of his garden by increasing its length and width by the same amount. Find the number of yards by which each dimension must be increased.
Click here to see answer by richwmiller(9135) About Me 

Question 249378: a rectangle is 8 feet long and 6 feet wide. if each dimension is increased by the same number of feet, a new rectangle is formed whose area exceeds the area if the original rectangle by 72 square feet. find the dimensions of the new rectangle.
Click here to see answer by richwmiller(9135) About Me 

Question 249403: The diagonal of a television set is 52 inches long. Its length is 28 inches more than its height. Find the dimensions of the television set.
Click here to see answer by user_dude2008(1861) About Me 
Question 249403: The diagonal of a television set is 52 inches long. Its length is 28 inches more than its height. Find the dimensions of the television set.
Click here to see answer by checkley77(12569) About Me 
Question 249403: The diagonal of a television set is 52 inches long. Its length is 28 inches more than its height. Find the dimensions of the television set.
Click here to see answer by oberobic(2304) About Me 

Question 249377: a rectangle is 6 feet long and 4 feet wide. if each dimension is increased by the same number of feet, a new rectangle is formed whose area is 39 square feet more then the area of the original rectangele. by how many feet was each dimension increased?
Click here to see answer by checkley77(12569) About Me 

Question 249505: solve for y.
8x+5y=40

Click here to see answer by edjones(7569) About Me 

Question 249606: Graph the quadratic equation.
y= x^2 + x - 2

Click here to see answer by checkley77(12569) About Me 

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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