Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 198542: 3-13x=3-8x+x(squared)
Click here to see answer by jim_thompson5910(28717) About Me 

Question 198574: Can someone explain how this problem works (if possible step by step so that i can understand it)
solve using completing the square, 3x^2-6x=27 the answer is x=1+sqrt(10), 1-sqrt(10), why?

Click here to see answer by jim_thompson5910(28717) About Me 

Question 198599: Solving Problems with Quadratic Equations
23. A photograph measures 20 cm by 16 cm. A strip of constant width is to be cut off the top and one side of the photo, so the area is reducedd to 60% of teh area of the original photo. Find the width of the cut. Include a diagram in your solution.
Thanks###!!!

Click here to see answer by arallie(162) About Me 

Question 198594: Solving Problems with Quadratic Equations
20 The length of a rectangular field is 2 m greater than three time sits width. The area of the field is 1496 m^2. What are the dimensions of the field?
Thanks!!!!

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Question 198598: Solving Problems with Quadratic Equations
22. A photograph measures 21 cm by 15 cm. A strip of constant width is to be cut from each side of the photo, so the area is reduced to 216 cm^2. Find the width of the cut. Include a diagram in your solution.
Thanksss

Click here to see answer by arallie(162) About Me 

Question 198593: Solving Problems with Quadratic Equations
19. A rectangular garden measures 15 m by 24 m. A larger garden is to be made by increasing each side length by the same amount. The resulting area is ti be 1.5 times the original area. Find the dimensions of the new garden, to the nearest tenth of a meter. Include a diagram in your solution.
Thanks@@@!!!

Click here to see answer by arallie(162) About Me 
Question 198593: Solving Problems with Quadratic Equations
19. A rectangular garden measures 15 m by 24 m. A larger garden is to be made by increasing each side length by the same amount. The resulting area is ti be 1.5 times the original area. Find the dimensions of the new garden, to the nearest tenth of a meter. Include a diagram in your solution.
Thanks@@@!!!

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 198592: Solving Problems with Quadratic Equations
18. A rectangular picture frame measures 20 cm by 30 cm. A new frame is to be made by increasing each side length by the same amount. The resulting enclosed area is to be 1064cm^2. Find the dimensions of the new picture frame. Include a diagram in your solution.
Thanks@@@!!!!

Click here to see answer by arallie(162) About Me 

Question 198589: Solving Problems with Quadratic Equations
12. A rectangular construction site is enclosed on three sides using 1200 m of fencing. The remaining side is formed by an existing wall. What dimensions enclose 180 000m^2 of land?

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Question 198585: How to solve this by factoring?
3p(9p-4)=48-12p

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Question 198597: Solving Problems with Quadratic Equations
21. An open-topped box is to be made from a rectangular piece of tin measuring 50 cm by 40 cm by cutting squares of equal size from each corner. The base area is to be 875 cm^2.
a) Draw a diagram representing the information.
b) What is the side length of the squares being removed?
c) What is the volume of the box?
Thanks1!!

Click here to see answer by josmiceli(9819) About Me 

Question 198631: Solving Word Problems Using Quadratic Equations
24. A rectangular field measures 15 m by 20 m. A rectangular area is to be fenced in by reducing each dimension by the same amount. The fenced-in area be?
Thanks@@!!!

Click here to see answer by nerdybill(7011) About Me 

Question 198658: factorise:
1) 5m2-45n2
2)10m2n2-7mn-12
3) 9a2-(3a-2b)2
4)12x2+35xy+18y2

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 198708: Find two consective odd integers whose product is 99
Click here to see answer by Alan3354(31538) About Me 

Question 198707: The sum of the squares of two consectives positive even integers is 340. Find the integers.
Click here to see answer by solver91311(17077) About Me 

Question 198591: Solving Problems with Quadratic Equations
17. Sherri sells photos of athletes to baseball, basketball, and hockey fans after their games. Her regular price is $10 per photograph, and she usually sells about 30 photographs. Sherri finds that, for each reduction in price of $0.50, she can sell an additional two photographs.
a) Total sales revenue is the product of the number of units sold and the price. Make an algebraic model to represent Sherri's total sales revenue.
b) At what price will Sherri's revenue be $150?
c) At what price will her maximum revenue occur?
d) At what price will her revenue be $0?
e) Graph the relationship between revenue and the number of price reductions. Which features on the graph represent the solutions to parts b), c), and d)?
Thanksssssss

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 198744: Word problem; Joe has a collection of nickles and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. how many dimes does he have?
10x2 + 6.05x + 9.85 = 0
using the formula I am not sure what numbers go to a,b, or c?

Click here to see answer by solver91311(17077) About Me 

Question 198740: You have a total of $5,000 and decide to invest part in a bank paying 5% simple interest and in a CD that pays 8%. If you receive a total of $300 from your investments, how much was put in each account?
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Question 198732: (3-2y) (5+4y)=0
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Question 198731: x(8-x)=15
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Question 198741: A swimming pool is to be filled using two pipes that individually can fill the pool in 8 and 12 hours. The pool drain can empty the pool in 15 hours. How long would it take to fill the pool if the two pipes were turned on at the same time, but the drain was accidentally left open?
Click here to see answer by scott8148(6628) About Me 

Question 198706: if a number is added to its square, the result is 56. Find the number.
Click here to see answer by user_dude2008(1861) About Me 

Question 198711: The hypotenuse of a right triangle is 2cm more than the longer leg, while the longer leg is itself 2cm more than the shorter leg. Find the length of the hypotenuse.
Click here to see answer by solver91311(17077) About Me 

Question 198830: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and number of nickels was decreaseed by 10, the value of the coins would be $9.85. how many dimes does he have?
f(x) = ax^2 + bx + c = 0
using this formula I cannot figure the answer out. please help.

Click here to see answer by jim_thompson5910(28717) About Me 
Question 198830: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and number of nickels was decreaseed by 10, the value of the coins would be $9.85. how many dimes does he have?
f(x) = ax^2 + bx + c = 0
using this formula I cannot figure the answer out. please help.

Click here to see answer by solver91311(17077) About Me 

Question 198828: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
Integers
Rational numbers
Irrational numbers
I don't understand how to set these up... can someone give me some examples and explanations so i can form my own equations?

Click here to see answer by jim_thompson5910(28717) About Me 

Question 198910: The original dimensions of a rectangle were 15cm by 20cm. When both dimensions were decreased by the same amount, the area of the new rectangle is half the area of the original rectangle. Find the dimensions of the new rectangle. Use let statements
Click here to see answer by anantha(86) About Me 

Question 198912: A picture frame dimesions are 20cm by 30cm. If a mat was put inside the frame that decreases the picture area by 264cm^2, how wide is the mat?
Click here to see answer by ankor@dixie-net.com(15747) About Me 
Question 198912: A picture frame dimesions are 20cm by 30cm. If a mat was put inside the frame that decreases the picture area by 264cm^2, how wide is the mat?
Click here to see answer by checkley75(3666) About Me 

Question 198990: You can drive 70 mph on the freeway and 35 mph in town. If an 80 mile drive took you 2 hours, how long did you drive in town?
Click here to see answer by solver91311(17077) About Me 
Question 198990: You can drive 70 mph on the freeway and 35 mph in town. If an 80 mile drive took you 2 hours, how long did you drive in town?
Click here to see answer by RAY100(1637) About Me 

Question 198989: How much 15% acid must you add to 4 liters of 40% acid to obtain a mixture that is 25% acid?
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Question 198987: You have to watch your salt intake. One 16 ounce can of soup contains 500 mg of salt and another 24 oz can contains 600 mg of salt. If you add the two cans t0 20 oz of water, what rate of salt do you now have in the mixture? (salt per oz)
Click here to see answer by stanbon(57984) About Me 

Question 199086: 7[2x-4-2(x+1)]=7x+3
Click here to see answer by jim_thompson5910(28717) About Me 
Question 199086: 7[2x-4-2(x+1)]=7x+3
Click here to see answer by RAY100(1637) About Me 

Question 199098: 1. Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
a) x2 + 3x - 15 = 0
b) x2 + x + 4 = 0
c) x2 – 4x - 7 = 0
d) x2 – 8x + 16 = 0
e) 2x2 - 3x + 7 = 0
f) x2 – 4x - 77 = 0
g) 3x2 - 7x + 6 = 0
h) 4x2 + 16x + 16 = 0
any help would be appriciated.

Click here to see answer by jim_thompson5910(28717) About Me 

Question 199097: 4. Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions?
Click here to see answer by solver91311(17077) About Me 

Question 199094: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "x2 - 10x - 39 = 0".
I am new to algebra and I have a learning dissablitlty could you help.

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Question 199114: how many solutions exist for a quadratic equation?
Click here to see answer by actuary(112) About Me 

Question 199136: : The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions?
Click here to see answer by checkley75(3666) About Me 

Question 199172: The problem i am having is solving problems using the quadratic formula the the question is 3x squared equals negative 10x minus 4 thank you for any help you can provide.
Click here to see answer by Edwin McCravy(8999) About Me 

Question 199176: Please help me solve this problem.
y=2(x-4)^2-2
Sketch the graph and label the intercpts and the vertex. Give exact values and show your work.
Thank you

Click here to see answer by rfer(12731) About Me 

Question 199175: Please help me solve this problem.
A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rectangular coordinate system and find the equation of the parabola. Then calculate the height of the arch 10, 20 and 40 feet from the center. Provide a sketch representing the situation and be sure it is clearly labled with coordinates.

Click here to see answer by Edwin McCravy(8999) About Me 

Question 199199: 2.Form each of the following:
•A linear equation in one variable 8x -1 =0
•A linear equation in two variables
•A quadratic equation 3 x2+9 x-12
•A polynomial of three terms x^3 +3x +5
•An exponential function
•A logarithmic function

Click here to see answer by Alan3354(31538) About Me 

Question 199209: I need the quadratic equation for the following
twice the square of a number is the same as eighttimes the same numbers

Click here to see answer by ankor@dixie-net.com(15747) 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, 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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340