Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 392187: Originally a rectangle was twice as long as its wide. When 5 m was subtracted from its length and 3 m was subtracted from its width, the new rectangle had an area of 55m. Find the dimensions of the NEW rectangle. ( not the old dimensions )
Please show work clearly for me to understand.
Thanks :D
This is what I tried:
Let length = 2x-5
Let width = x-3
( 2x-5) ( x- 3 ) = 55
2x^-6x-5x+15=55
2x^-11x+15=55
2x^-11x-40=0
Now im stuck on this part. Please help.

Click here to see answer by ewatrrr(10682) About Me 

Question 392210: I want to know the formula that show the product of two consecutive integers that equals 72. Thanks
Click here to see answer by Earlsdon(6287) About Me 
Question 392210: I want to know the formula that show the product of two consecutive integers that equals 72. Thanks
Click here to see answer by ewatrrr(10682) About Me 

Question 392208: I find no factoring for 27r2 - 72 = 0. I want to know how the answer of 0=0 is calculated? Thanks.
Click here to see answer by Earlsdon(6287) About Me 

Question 392246: sir pls help me to solve this prblm.A train travels at a certain average for a didtance of 63km and then travels a distance of 72km at an average speed of 6km/hr more than its original speed.if it takes 3 hours to complete the total journey,what is its original average speed.kindly send me the solution to rexi_2004@yahoo.co.in
Click here to see answer by stanbon(57224) About Me 
Question 392246: sir pls help me to solve this prblm.A train travels at a certain average for a didtance of 63km and then travels a distance of 72km at an average speed of 6km/hr more than its original speed.if it takes 3 hours to complete the total journey,what is its original average speed.kindly send me the solution to rexi_2004@yahoo.co.in
Click here to see answer by ewatrrr(10682) About Me 

Question 392297: Write each function in vertex form:
y=x^+9x+8
I tried:
y=(x^+9x+20.25)+8+20.25
y=(x+29.25)+28.25
y=-2x^+5x
not sure on this one

Click here to see answer by Alan3354(30968) About Me 
Question 392297: Write each function in vertex form:
y=x^+9x+8
I tried:
y=(x^+9x+20.25)+8+20.25
y=(x+29.25)+28.25
y=-2x^+5x
not sure on this one

Click here to see answer by stanbon(57224) About Me 

Question 392296: how would you write this equation? " 10 more that two-thirds of x is y "
Click here to see answer by Alan3354(30968) About Me 

Question 23: what are the roots if in ractored form it is y=(2x-3)(3x+4)?
what is the axis of symmetry?

Click here to see answer by twilightlover(1) About Me 

Question 392424: Solve for x.
3x^2 - 11x = - 6
(If there is more than one solution, separate them with commas.)

Click here to see answer by nerdybill(6948) About Me 

Question 392420: Solve for y, where y is a real number.
+sqrt+%28y+%2B+20+=+y%29+
If there is more than one solution, separate them with commas

Click here to see answer by nerdybill(6948) About Me 
Question 392420: Solve for y, where y is a real number.
+sqrt+%28y+%2B+20+=+y%29+
If there is more than one solution, separate them with commas

Click here to see answer by robertb(4012) About Me 

Question 392412: Find the x intercepts of
f(x) = 3x^2 -15x -13

Click here to see answer by nerdybill(6948) About Me 

Question 392395: The sum of the squares of three consecutive integers is 434. Find the integers. please show all of your work. Thank you!
Click here to see answer by Alan3354(30968) About Me 

Question 392451: 1)a natural number,when increased by 12 becomes equal to 160 times its reciprocal.find the number
Click here to see answer by richard1234(5390) About Me 

Question 392535: how to solve quadratic system by graphng
Click here to see answer by richard1234(5390) About Me 

Question 392538: how do i solve...
directions: write a quadratic equation with the given roots. Write the equation in the form of ax^2+ bx + c = 0, where a, b, and c are integers
1, 4
-2,-5
-1/3, -3
if you can help me...can u show me how to do the work so that i can see the process

Click here to see answer by Alan3354(30968) About Me 
Question 392538: how do i solve...
directions: write a quadratic equation with the given roots. Write the equation in the form of ax^2+ bx + c = 0, where a, b, and c are integers
1, 4
-2,-5
-1/3, -3
if you can help me...can u show me how to do the work so that i can see the process

Click here to see answer by richard1234(5390) About Me 

Question 392503: 4x2 - 4x + 3 = 0
Click here to see answer by haileytucki(390) About Me 

Question 392422: Write in simplified radical form by rationalizing the denominator.
+%28sqrt+%2811%29+%2B+sqrt+%282%29%29+%2F+%28sqrt+%2811%29+-+sqrt+%282%29%29+

Click here to see answer by emargo19(101) About Me 

Question 392714: y^2-12y=0
What is the answer please. And can you show all work. Thank you!

Click here to see answer by Alan3354(30968) About Me 

Question 392750: I was given the following equation to solve with the value of t = 5, v = 20 meters/second and k = 30 meters:
S = -5t^2 + v*t + k
Would you please help me? Using my variables, I came up with the following answer:
S=107
Thanks!
Michele

Click here to see answer by rfer(12646) About Me 

Question 392808: The equation S= -5t^2 + v*t + k, using this equation, do you multiply 5t then square it, or square the t then multiply??
thanks

Click here to see answer by checkley79(3039) About Me 

Question 392792: can you explain the quadratic equation? its so confusing!
Click here to see answer by richard1234(5390) About Me 

Question 392966: what is the solution set for the quadratic equation x^2+6x-3=0?
Click here to see answer by jim_thompson5910(28476) About Me 

Question 393021: write an equation for the horizontal line passing through the point (5, -3)
Click here to see answer by stanbon(57224) About Me 

Question 393061: x^2-4x+7=0
Click here to see answer by edjones(7569) About Me 

Question 393103: what is the effect of y=%28x%2B3%29%5E2 and y=%28x-3%29%5E2 in graphing?
Click here to see answer by ewatrrr(10682) About Me 

Question 393141: s^2=169
Click here to see answer by ewatrrr(10682) About Me 

Question 393261: When one number is 2 more than twice another and their product is 2 more than twice their sum, what is the two number solution? I used x to represent one number and 2x + 2, which equals to x(2x + 2)= 2 + 2x + 2 = 2x^2 + 2x = 2x + 4, therefore, 2x^2 + 2x-2x = -4, 2x^2 = -4 = (2x-2)(x+2). Answer: 2 and -2?
Click here to see answer by stanbon(57224) About Me 

Question 393224: 2. If x=3 or -4 are the solution of the equation x^2+ax+b=0, find the values of a and b?
Click here to see answer by ptaylor(2048) About Me 

Question 393329: What is the solution to the factoring problem 2x^2-24x^3+14x^2? I tried it this way: 2x^2(x^-12x+7), but was not able to simplify beyond this point.
Thanks

Click here to see answer by stanbon(57224) About Me 

Question 393358: How do you solve this 3-4b=10b+10?
Please only email me this one time or I will file a complaint!!!

Click here to see answer by rfer(12646) About Me 

Question 393627: 5x2-3x+3=0
Click here to see answer by mananth(12270) About Me 

Question 393597: what are the solutions to the quadratic equation y^2 -3y=9 ??
Click here to see answer by nerdybill(6948) About Me 

Question 393685: If one number is 4 times another, and their product is 4 times their sum, what are the two numbers needed for the solution? I came up with this formula, but something is missing: x=one number and 4x + x = the other
4x+x = 4(4x+x)
5x = 20x

Click here to see answer by ewatrrr(10682) About Me 

Question 393709: If the numerical value of the area of a retangle is twice the length and the length is 1 more than 3 times the width, what are the dimensions?
area = L * W
w = x
L = 2x + x
2x + x = x(3x + 1

Click here to see answer by ewatrrr(10682) About Me 

Question 393930: Solve the equation 4(x+6)^2=160 by taking the square root
Click here to see answer by rfer(12646) About Me 

Question 393881: It says For each quadratic function, find the axis of symmetry of its graph. Y=3x²-6x+4. THANK YOU SOO MUCH!!!!! (:
Click here to see answer by ankor@dixie-net.com(15625) About Me 

Question 394021: The profit function for the Recklus Hang gliding Service is P(x) = -0.4x2 + fx - m, where f represents the set up fee for a customer’s daily excursion and m represents the monthly hanger rental. Also, P represents the monthly profit in dollars of the small business where x is the number of flight excursions facilitated in that month.
a) If $40 is charged for a set up fee, and the monthly hanger rental is $800; write an equation for the profit, P, in terms of x.
This is the equation I got out of this: P= -o.4x^ + Fx = 800
I am a little lost after that
Help

Click here to see answer by josmiceli(9652) About Me 

Question 394082: how do u get x in the problem of x squared plus 3x minus 15 is equal to 0
Click here to see answer by solver91311(16868) About Me 
Question 394082: how do u get x in the problem of x squared plus 3x minus 15 is equal to 0
Click here to see answer by mananth(12270) About Me 

Question 394135: 16x^2=56x

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Question 394141: At what points does the graph of y=x%5E2%2B5x-14 cross the x-axis?
Click here to see answer by Edwin McCravy(8880) 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