Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 20150: Please help me with this problem using the pythagrean theorum. One leg of a right triangle is 8 inches long. The hypotenuse is 2 inches longer than the other leg. What is the length of the hypotenuse.
Click here to see answer by suresh(20)

Question 20183: Solve each inequality. State the solution set and describe the graph in words.
w^2+3w<18
Thanks a bunch
Click here to see answer by mmm4444bot(95)

Question 20186: Solve each inequality. State the solution set and describe the graph in words.
w^2+3w<18
so far I have:
w^2+3w-18=0
w^2+3w+18(Don't think this is right)
Do you feel I am on the right path?
Thanks in advance
Click here to see answer by mmm4444bot(95)

Question 20187: graph (Show your work)
y=16-x^2
Thanks a bunch
Click here to see answer by mmm4444bot(95)

Question 20193: Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer than Smith's. How fast was each one traveling? Explain your steps as you solve.
Thanks
Click here to see answer by Paul(988)

Question 20192: Solve the following problem.
The length of a rectangular swimming pool is 2x-1 meters, and the width is x+2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.
Thanks
Click here to see answer by pwac(253)

Question 20196: Factor the polynomial completely. Explain your steps as you factor. If the polynomial is prime, state that it is prime.
aw-5b-bw+5a
This is wreking my brain!!
Thanks in advance
Click here to see answer by Earlsdon(6287)

Question 20210: 2x^2+9x-5=0
Click here to see answer by Alwayscheerful(414)

Question 20309: solve the equation.
x^2 + x + 5 = 0
thank you in advance.
Click here to see answer by suresh(20)

Question 20369: 10=t/66+9
What does t =
Click here to see answer by elima(1433)

Question 20369: 10=t/66+9
What does t =
Click here to see answer by mmm4444bot(95)

Question 20514: here is the directions: FIND THE DISCRIMINANT AND USE IT TO DETERMINE THE NUMBER OF REAL SOLUTIONS OF THE EQUATION........I have no idea how to work these problems...here is one of them.
x^2-2x-3=0
Click here to see answer by Earlsdon(6287)

Question 20548: I have no clue how to do this and my homework is due in a day and a half please show me how to do this type of problem (-1/2+sqrt(3/2)i)^3= _____+_____
Click here to see answer by Earlsdon(6287)

Question 20675: What is the solution set of the eqution x2 + 11x + 28 = 0

Click here to see answer by elima(1433)

Question 20867: How do you find the vertex and axis of symmetry in a quadratic equation?

Click here to see answer by venugopalramana(3286)

Question 20933: Solve (a3) (a2)
Click here to see answer by kalants(7)

Question 20933: Solve (a3) (a2)
Click here to see answer by drmath(1)

Question 21331: a rectangle photograph of you pet goldfish is 7 inches long and 3 inches wide. because you love this picture so much you would like to enlarge it. the photo is enlarged by increasing its lengh and width by the same amount. if the area of the newly enlarged photo is 96 inches squared, what are the new dimensions of the enlarged photo?
Click here to see answer by Paul(988)

Question 21408: I am trying to solve the following question: Solve the following quadratic equation by factoring:
X^2 - 8 + 7 = 0 Thank you - I have looked at this for 2 hours and looking at book is not helping. I dont read well.
Click here to see answer by elima(1433)

Question 21466: Solve the equation:
3x/(x-4)=-x
I have worked it down to x^2 = x, however I'm not sure if the answer is sqrtX and it really confuses me if I try to plug it into the regular equation.
Click here to see answer by Earlsdon(6287)

Question 21511: (a+b)(a-c)=a^2-bc True or False?
Click here to see answer by wuwei96815(245)

Question 21517: x2-81=0

Click here to see answer by wuwei96815(245)

Question 21646: Hello, I would like to know the step by step breakdown of the following problem:
2x^2=x^2+4
Thank You/Regards

Cheers
Click here to see answer by rahman(247)

Question 21671: What is the vertex form for the function's y= x^2-4x+6, y=x^2+2x+5, y=6x^2-10, y= -5x^2+12, y= 4x^2+7x, y=2x^2+x, y= 2x^2-5x+12?
Click here to see answer by LKHolland(3)

Question 21731: WHAT PERCENT OF 1300 IS 26
Click here to see answer by wuwei96815(245)

Question 21793: whats 5a^2=500
Click here to see answer by algebrapro18(206)

Question 21819: Solve the equation by the method of your choice. Simplify solutions, if possible.
(3x + 5) + = 6

Click here to see answer by Anglophile(11)

Question 21929: (x-4)(x+4)= -30
I need to solve this but am not sure if I am doing it right
Click here to see answer by algebrapro18(206)

Question 21990: 2x^2+7x+1
Click here to see answer by Alwayscheerful(414)

Question 22156: Good Evening, I am having a hard time answering this question. I don't even know how to set it up. Please help.
A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

Click here to see answer by stanbon(57290)

Question 22160: Hello. I have been workingon this problem all night and I know it's probably something I'm overlooking. Please help.
2. 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 longjonsilver(2297)

Question 22247: Help, I am so lost! Thanks in advance!!
Find the x-intercepts.
y = x^2 – 4x + 4

Click here to see answer by Earlsdon(6287)

Question 22193: Using the quadratic formula solve this equation
3x squared + 10x=-4
Click here to see answer by Ultimatemagic(23)

Question 22272: Solve the quadratic equation: 5x^2-180=0
Click here to see answer by stanbon(57290)

Question 22351: I need help solving this question
(x+2)(x+3)=20
Click here to see answer by Earlsdon(6287)

Question 22368: 2x^2-1 = 5x
Click here to see answer by stanbon(57290)

Question 22384: Explain each step involved in using the 'ac' method to factor the following:
5w^2 + 13w - 6
Click here to see answer by stanbon(57290)

Question 22470: Of the 1260 households in a small town, 632 have dogs, 568 have cats, and 114 have both types of pets. If a household is chosen at random, what is the probability that the household has either type of pet?
Click here to see answer by stanbon(57290)

Question 22383: Explain each step involved in using the 'ac' method to factor the following:
8x^2 + 2x - 3
Click here to see answer by Alwayscheerful(414)

Question 22274: solve the quadratic equation: x^-4x-1=0

thanx!!
Click here to see answer by Alwayscheerful(414)

Question 22378: Show and explain each step in solving the following quadratic equations:
2x^2 - 3x = 5
Click here to see answer by Alwayscheerful(414)

Question 22379: Show and explain each step in solving the following quadratic equations:
2x^2 - 3x = 5
Click here to see answer by Alwayscheerful(414)

Question 22381: Show and explain each step in solving the following quadratic equations:
2x^2 - x - 3 = 0
Click here to see answer by Alwayscheerful(414)

Question 22377: Show and explain each step in solving the following quadratic equations:
x^2 - 10x = 0
Click here to see answer by Alwayscheerful(414)

Question 22380: Show and explain each step in solving the following quadratic equations:
x^2 - 25 = 0
Click here to see answer by Alwayscheerful(414)

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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, 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