Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 211397: if 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189. What is the number?

Click here to see answer by rapaljer(4667)

Question 211327: Using the formula. Solve each equation by using the quadratic formula
#10: x^2 + 4x + 3 = 0
Number of Solutions
#42: Find b^2 - 4ac and the number of real solutions to each
equation.
9m^2 + 16 = 24m
Click here to see answer by jim_thompson5910(28593)

Question 211413: I am stumped...I can not figure these two problems out for the life of me...can someone please assist me with these two problems?
Find all real solutions to each equation.
64)
Find all real and imaginary solutions to each equation.
70)
Click here to see answer by Edwin McCravy(8908)

Question 211442: I need help finding the solution set for (x-2)(x-3)=2
heres my work: -2x-3x+6x^2-2=0
put them in order 6x^2-5x-2=0 A=6 B=-5 C=-2
5+-square root -5^2-4*6*-2/2*6
5+-SR 25+48/12
5+-SR 73/12
I am pretty sure that 73 is a prime number and don't know how to factor it and solve for x from here.

Thanks for what you do!
Click here to see answer by Alan3354(30993)

Question 211361: I desperately need help. I have a 60 average right now and 2 weeks left. Please help me understand what I need to do. I have 2 weeks left to pass this class.
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; State the equation of the line asymptotic to the graph.
1. y= 5^x
2. y= log 7 ^x
Click here to see answer by Theo(3460)

Question 211462: (x-3)(x-2)=(x+5)(2x-3)+21 Solve for the negative value of X.
Click here to see answer by jim_thompson5910(28593)

Question 211521: I need help finding the distance between the points (3, 8) and (-1, 9)please and a set of easy steps to follow if so I can do more questions like it Thank you!
Click here to see answer by jim_thompson5910(28593)

Question 211730: I have the problem almost complete but I can get this, Here is the problem:
2/x - 1 = -6 5/x - 2
I got this far an I get stock

( ? )( ? )
I can get two #'s to solve this equation? Maybe it can be solve... I need some help...
Click here to see answer by gypsy1274(9)

Question 211828: Find the x-intercept.
y=x^2+4x-1
I am stuck on this..please help!
Click here to see answer by drj(1380)

Question 211831: evaluate the discriminate 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 Theo(3460)

Question 211893: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function of f(x)=2x^2 - 12x + 18.
a. Type an ordered pair.
b. What is the equation of the line of symmetry? x = _____
c. What is the maximum/minimum of f(x)?
d. Is the value, f(3)=0 a minimum or a maximum?
Click here to see answer by Earlsdon(6287)

Question 211918: This is from a chapter on solving a quadratic equation by compleating a square. Please help me solve.

Thank you.
Click here to see answer by drj(1380)

Question 211918: This is from a chapter on solving a quadratic equation by compleating a square. Please help me solve.

Thank you.
Click here to see answer by MathTherapy(1423)

Question 211934: How do you solve 6(7ab)? I think you should just multiply the 7ab by the 6 so that your answer would be 42ab, but it might be that you have to multiply the 6 to the 7, the a, and the b so that your answer would be 42 + 6ab. I don't know. Please help me! Thank you!!! :)
Click here to see answer by Earlsdon(6287)

Question 211938: /graphs of quadratic equations/
Please help me evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation.

Thank you.
Click here to see answer by Earlsdon(6287)

Question 211995: a farmer wants to set up a pigpen using 40 feet of fence to enclose a rectangular area of 51 square feet. what are the dimensions of the pigpen?
Click here to see answer by drj(1380)

Question 212034: Find three consecutive positive odd integers such that 4 times the sum of all three equals 13 more than the product of the smaller two.
Click here to see answer by stanbon(57323)

Question 212031: The product of two consecutive integers is 4 less than 4 times their sum. Find the integers.
Click here to see answer by edjones(7569)

Question 212028: A book is three times as long as it is wide. Find the length and width of the book if the area is 128 more than the perimeter of the book.
Click here to see answer by edjones(7569)

Question 212171: I am not sure if this is a quadratic actually, but I wasn't sure what selection in the drop down menu fit this problem.
The equation I am stuck on is s=1/3gt^2 (gt squared) and it says to solve for t
I tried a few methods to try to get t over on the left alone but I keep getting stuck.
Click here to see answer by RAY100(1637)

Question 212033: A rectangular piece of carpet has a length that is 5 yards shorter than twice its width. The area of the carpet is 88 square yards. Find the width only.
Click here to see answer by drj(1380)

Question 212341: given f(x) = ax^2 + bx + 5. Find a and b such that f(x + 1) - f(x) = 8x + 3
Click here to see answer by jim_thompson5910(28593)

Question 212472: what is the answer to the equation: 13x squared +1=6x
Click here to see answer by stanbon(57323)

Question 212473: I need help with quadratic word problems.
Noah is trying to qualify for a race. A driver needs to complete 8 laps of a seven mile track at an average speed of 105.66 mph to qualify. Noah has already completed the first three laps. His average speed so far is 92 mph. What must his average speed be for the rest of the race to qualify?
Click here to see answer by stanbon(57323)

Question 212443: I am trying to figure out what method to use and I am stumped. I've tried the Quadratic Formula and it's just not coming out right! Thanks!
Click here to see answer by Alan3354(30993)

Question 212474: I need help with quadratic word problems!
Flight 725 left New York at 10.28 am flying north. Flight 245 left from the same airport at 11.18 am flying south at 120 kph less than three times the speed of flight 725. At 1.06 pm they are 1,030 kilometers apart. What is the average rate of speed for Flight 245 and for Flight 725?
Click here to see answer by Theo(3460)

Question 212499: 100 - T = 125.. My daughter who is in 4th grade brought this problem home on her math homework page and I cannot remember this far back!! Sounds horrible, I know. HELP PLEASE! :0)
Click here to see answer by ankor@dixie-net.com(15649)

Question 212567: can u help me in algebra 2 im failing
this is a problem on my homework tonight
solve each equation by factoring:
x^2-11x=0
x squared-11x=0
Click here to see answer by Alan3354(30993)

Question 212726: PLS HELP ME WITH MY PROBLEM!!
QUADRATIC EQUATION BY COMPLETING SQUARE
12X^2+11X+2=0
Click here to see answer by stanbon(57323)

Question 212270: (2y-6)m+(x+3)m=26
Click here to see answer by DRichardson(63)

Question 212895: simplify expression. write answer with a positive exponet only
(-p)^-21
Click here to see answer by rapaljer(4667)

Question 212909: HOW TO FACTORISE THIS QUESTION WITHOUT USING THE QUADRATIC FORMULA METHOD BUT EITHER CROSS OR GROUPING METHOD
12X^2-45X-12=0
Click here to see answer by rapaljer(4667)

Question 212914: -sqrt(7), 7sqrt(7)
Click here to see answer by nerdybill(6958)

Question 212951: solve following equation by using the square root property
(w-10)^2=81
w=? and w=?
Click here to see answer by rapaljer(4667)

Question 212951: solve following equation by using the square root property
(w-10)^2=81
w=? and w=?
Click here to see answer by Earlsdon(6287)

Question 212952: solve the following quadratic equation. round answers 2 decimal places.
0.7x^2= 0.1x+0.3
Click here to see answer by drj(1380)

Question 212949: perform indicated operation, write in standard form a+bi
(-2,2i) - (-4-8i)
Click here to see answer by Earlsdon(6287)

Question 212949: perform indicated operation, write in standard form a+bi
(-2,2i) - (-4-8i)
Click here to see answer by stanbon(57323)

Question 213149: It takes a girl 48 minutes to deliver newspapers on her route; however, if her brother helps, it takes them only 12 minutes. How long would it take her brother to deliver the newspapers by himself?
Click here to see answer by nerdybill(6958)

Question 213153: A baseball is thrown upward with an initial speed of 69ft/sec. The number of feet s above the ground after t seconds is given by the equation s=-16t^6+69t. When will the baseball be 54 feet above the ground?
Click here to see answer by nerdybill(6958)

Question 213152: A cylindrical can has a volume of 128pi cm^3 and is 8cm tall. What is its radius?
Click here to see answer by rapaljer(4667)

Question 213171: 3x^2-9x=0
Click here to see answer by drj(1380)

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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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