Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 38642: Sketch the graph of the function y = 3 - 3x2. Label all intercepts.

Click here to see answer by Nate(3500) About Me 

Question 35874: Use the quadratic formula to find the exact solution
2y%5E2-3y-2=0

Click here to see answer by Nate(3500) About Me 

Question 38728: Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
-2x^2 - 3x - 4 = 0

Click here to see answer by Paul(988) About Me 

Question 38733: Graph the parabola:
y = (x-4)^2 - 2

Click here to see answer by Nate(3500) About Me 

Question 38755: solving quadratic functions of the form f(x)=a(x-h)2+k....(that 2 is a squared)
i know how to get the value of a,h,k, but i dont know what they mean when they say choose some values for x. in example 1 they have 7 values for x, but in example 2 they have 5 values for x.... so how do you know how many numbers to chose forthe value of x?

Click here to see answer by venugopalramana(3286) About Me 

Question 38939: Find the irrational roots of the equation x^3-4x^2+2x+1=0
Click here to see answer by stanbon(75887) About Me 
Question 38939: Find the irrational roots of the equation x^3-4x^2+2x+1=0
Click here to see answer by fractalier(6550) About Me 

Question 38943: Solve using the quadratic formula
3x%5E2-14x=-15
5x%5E2=x%2B2
4x%5E2=12x-9
I need help on these also it looks like this on the paper
Solve. Express irrational solutions in simplest radical form.
2x%5E2=128
x%5E2%2B25=0
x%5E2=25%2F36
0=6x%5E2-24
2%28x%2B3%29%5E2-4=68
x%5E2%2B5x-24=0
x%5E2-3x-28=0
x%5E2-49=0
5x%5E2-2x-7=0
+sqrt+%283x=9%29+
+sqrt+%28x%2B2-7=2%29+
+sqrt+%28x-4-9=4%29+

Click here to see answer by Nate(3500) About Me 

Question 39025: Solve the following equation for x by using the quadratic formula:
2x^2 + 8x + 3 = 0

Click here to see answer by stanbon(75887) About Me 

Question 39027: Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 9 = 0

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Question 39029: Graph the solution to the quadratic inequality:
-x^2 -4x is equal to or >4.

Click here to see answer by fractalier(6550) About Me 

Question 39002: x varies directly as the square of s, and inversely as t. How does x change when s is doubled? When both s and t are doubled, how does x change?
Click here to see answer by fractalier(6550) About Me 

Question 38732: Graph the solution to the quadratic inequality:
-x^2 - 4x equal to or greater than 4

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Question 38727: Compute the value of the discriminant and give the number of real solutions to the quadratic equation:
3x^2 - 7x + 9 = 0

Click here to see answer by fractalier(6550) About Me 

Question 39164: The sum of 2 numbers is 25. The sum of their squares is 313. Find the two numbers...thank you!
Click here to see answer by Nate(3500) About Me 
Question 39164: The sum of 2 numbers is 25. The sum of their squares is 313. Find the two numbers...thank you!
Click here to see answer by AnlytcPhil(1806) About Me 
Question 39164: The sum of 2 numbers is 25. The sum of their squares is 313. Find the two numbers...thank you!
Click here to see answer by checkley71(8403) About Me 

Question 39163: A rectangle has a perimeter of 46 meters. The area is 124 meters squared. Find the dimensions...thank you!
Click here to see answer by Nate(3500) About Me 

Question 39284: determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. factor the trinomial. x^-5x
Click here to see answer by stanbon(75887) About Me 
Question 39284: determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. factor the trinomial. x^-5x
Click here to see answer by fractalier(6550) About Me 

Question 37677: Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x) = 0.2x^2 + 300x - 200. What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Click here to see answer by fractalier(6550) About Me 

Question 39352: assume variables are nonnegative
sqrt%2850%2F32%29
and
sqrt%2864%2Fx%5E4%29

Click here to see answer by Nate(3500) About Me 

Question 39406: Need help on solving these two problems, thanks =0)
1. -9x+20=-2x
2. 2x^2-5=3x

Click here to see answer by corrie21(4) About Me 

Question 39513: How do you compute the intercepts of a quadratic function?

Click here to see answer by josmiceli(19441) About Me 
Question 39513: How do you compute the intercepts of a quadratic function?

Click here to see answer by AnlytcPhil(1806) About Me 

Question 39602: How do you determine the domain and range of the following equation
y=|x-2|

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Question 39602: How do you determine the domain and range of the following equation
y=|x-2|

Click here to see answer by venugopalramana(3286) About Me 

Question 39596: looking desperately for the answer to this:
6x to the second power - 12x - 18 = ????
Please help... thank you, krista m pooler

Click here to see answer by askmemath(368) About Me 

Question 39598: Find all real or imaginary solutions for this equation.
49^2+ 9 = 42x
I can not not figure this one out. I thought it was something like:
-49^2sqrt 49^2+3(3)=42
Any assistance would be greatly appreciated

Click here to see answer by checkley71(8403) About Me 

Question 39683: the hypotinuse of a right triangle is 6 m long. one leg is 1 m longer than the other. find the length of the shorter leg. round to the nearst hundred.
Click here to see answer by Paul(988) About Me 

Question 39684: To solve quadratic equations using a variety of methods including completing the square and the quadratic formula, please give an example using either completing the square or the quadratic formula and explain each step as if you were teaching someone who had never used the method before.
Thank you

Click here to see answer by Nate(3500) About Me 

Question 39799: greatest common factor of these numbers
6A 2B 9AB 2 15 a^2 B^2

Click here to see answer by fractalier(6550) About Me 

Question 39844: Solve the following equation so that it can be plotted on a graphing calculator.
4x^2 - 2xy + 3y^2 =2. I know it should be able able to use the quadratic formula but every way I try, I do not get the right answer. The question came from the TeXeS Review manual. There is no ISBN.

Click here to see answer by AnlytcPhil(1806) About Me 

Question 39855: How do you solve Quadratic equations and graph them in parabola form?
Click here to see answer by fractalier(6550) About Me 

Question 39903: Solve the following quadratic equation.
4x^2 =13x + 12

Click here to see answer by checkley71(8403) About Me 

Question 39973: please solve x^2-2x-2=0
Click here to see answer by Nate(3500) About Me 

Question 40041: "Use a quadratic equation to determine the two numbers that satisfy the situation: They differ by 2. The sum of their squares is 130."
Thank you so much, you really help me!

Click here to see answer by venugopalramana(3286) About Me 

Question 40040: Thank you so much for your help with this. My brain stopped and I need a push. Can you bring me through this problem please...
"Use a quadratic equation to determine the two numbers that satisfy the situation: Their sum is 9 and their product is 20."?

Click here to see answer by venugopalramana(3286) About Me 

Question 40033: (x^2)^4 * x^3
Click here to see answer by fractalier(6550) About Me 

Question 39909: okay in the quadratic function ax(squared)+ bx+ c what does each one of those variables mean.. like is b the y-intercept and c is the slope you know.. i sure dont
Click here to see answer by venugopalramana(3286) About Me 

Question 40096: can someone help me? Which of the following is the greatest common factor of the terms 48s%5E5t%5E3u%5E2+and+%2840s%5E3tu%5E4%29?
a) 6s%5E2t%5E2u
b) 8s%5E2t%5E2u
c) 6s%5E3tu
d) 8s%5E3tu%5E2

Click here to see answer by fractalier(6550) About Me 

Question 40100: can you help?
what is the gratest common factor of the terms %2814c%5E2d%29+and+%2842c%5E3d%29

Click here to see answer by fractalier(6550) About Me 

Question 40101: help
which of the following are the factors of x%5E3%2B3x%5E2?
a)x%5E2%28x%5E2%2B3%29
b)x%28x%5E2%2B3x%29
c)x%5E2%28x%2B3%29
d)x%5E2%28x-3%29

Click here to see answer by fractalier(6550) About Me 

Question 40108: This is actually about "unfoiling". Is there a quick and easy way to figure out the binomials when unfoiling. As an example:
2x^2 - 9x + 4. How do I know how to choose the right numbers to factor this into two binomials? Is there a different rule for positive and/or negative numbers.
Thanks very much.

Click here to see answer by checkley71(8403) About Me 

Question 40221: Use the quadratic formula to solve the equation: 24x^2-14x=6. Round your answer to the nearest hundredth.
Click here to see answer by abcdefg(37) 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, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240