Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1036822: How to solve the quadratic equation on problem below:
The length of a rectangle is 4m more than the width. The area is 30m2.find the width and length.
Click here to see answer by ikleyn(52775)

Question 1036668: What are the zeros of y=-4x-8x+5
Click here to see answer by Fombitz(32388)

Question 1037220: how get sqrt(3+sqrt(5-sqrt(13+sqrt(48)))) show than (sqrt(2)+sqrt(6))/2
helpme please

Click here to see answer by Alan3354(69443)

Question 1037414: If one root of quadratic equation x2-10x+2k=0 find k
Click here to see answer by josgarithmetic(39616)

Question 1037414: If one root of quadratic equation x2-10x+2k=0 find k
Click here to see answer by ikleyn(52775)

Question 1037419: solve. express your answer in decimal form.
3x^2-5=46
solve. express your answer in simplest radical form.
37-y^2=-8

Click here to see answer by ankor@dixie-net.com(22740)

Question 1037502: I am checking my work to the problem below:
find all real solutions to the quadratic equation; 6p+2=p^2+3p^3
6p+2=p^2+3p^3
6p+2=3p^3+p^2
6p+2−(3p^3+p^2)=3p^3+p^2−(3p^3+p^2)
−3p^3−p^2+6p+2=0
(−3p−1)(p^2−2)=0
−3p−1=0 or p^2−2=0
p= -1/3
Click here to see answer by Alan3354(69443)

Question 1037561: What is f(-8) for the function f?
f(x)=11(x−24)2

Click here to see answer by Fombitz(32388)

Question 1037573: Solve the equation for the indicated variable.
1/r+6/(1-r)=12/r^2
Please explain step by step if possible! Thank you.
Click here to see answer by rothauserc(4718)

Question 1037594: Find all real solutions of the equation. 7x^2+14x-5=0
Click here to see answer by josmiceli(19441)

Question 1037611: What are 2 numbers that can up to -4 but can multiply to equal 12.
Sorry I can't type my equation it has exponents
Click here to see answer by Alan3354(69443)

Question 1037624: write a quadratic equation that has the given solutions: 3 and 2......and one that has 1 and 3.....thank you !!
Click here to see answer by jhunjiro(67)

Question 1037647: Find three consecutive odd integers such that the square of the third integer plus the product of the other two integers is 268.
Thank you
Click here to see answer by Alan3354(69443)

Question 1037680: Write a quadratic equation having each of the following solutions.
i sqrt7 and -i sqrt7
Thank you
Click here to see answer by Alan3354(69443)

Question 1037646: The hypotenuse of a right triangle is 30 cm. The length of one leg is 6 cm longer than the other leg. Find the length of the shorter leg.
Thank you
Click here to see answer by jorel555(1290)

Question 1037668: Airplane A travels 2400 km at a certain speed. Plane B travels 1800 km at a speed 50 km/h faster than Plane A in 2 hours less time. Find the speed of each plane.
Thank you
Click here to see answer by josgarithmetic(39616)

Question 200758: x^2-36=0
Click here to see answer by jorel555(1290)

Question 1029603: The length of a rectangular swimming pool is twice its width. The pool is surrounded by a walk that is 2 feet wide. The area of the region consisting of the pool and the walk is 1056 square feet.
(a) Use the method of completing the square to determine the dimensions of the swimming pool.
The length of the pool is ____ feet, and the width of the pool is ____feet.
(b) If the material for the walk costs $8 per square foot, how much would the material cost for the entire walk?
The material would cost $____ .
Click here to see answer by jorel555(1290)

Question 1038048: For how many integer values of x is x^2 < 7x?

Click here to see answer by Edwin McCravy(20054)

Question 1038117: Write the quadratic equation whose roots are
−3
and
−6
, and whose leading coefficient is
5
.
(Use the letter
x
to represent the variable

Click here to see answer by robertb(5830)

Question 1038136: Use factoring to determine how many times the graph of the function intersects the x-axis.
g(x) = x^2 + 12x + 32
options;
0
1
2
3
Click here to see answer by Boreal(15235)

Question 1038139: The drama club is building a backdrop using arches whose shape can be represented by the function f(x) = -x^2 + 2x + 8, where x is the length in feet. The area under each arch is to be covered with fabric.
http://prntscr.com/bge4kt
What is the height of the arch?
10 feet
9 feet
8 feet
6 feet
Click here to see answer by Alan3354(69443)

Question 1038138: The drama club is building a backdrop using arches whose shape can be represented by the function f(x) = -x^2 + 2x + 8, where x is the length in feet. The area under each arch is to be covered with fabric.
http://prntscr.com/bge2u0
What is the length of the segment along the floor of each arch?
3 feet
4 feet
6 feet
8 feet
Click here to see answer by Alan3354(69443)

Question 1038147: Which graph correctly shows a quadratic function that is related to a quadratic equation with no solution?
options
A. http://prntscr.com/bgds7i
B. http://prntscr.com/bgdsdt
C. http://prntscr.com/bgdskg
D. http://prntscr.com/bgdsrb
Click here to see answer by Alan3354(69443)

Question 1038146: Which of the following graphs shows the graph of a quadratic function related to a quadratic equation that has a solution of only x = 4?
options
A. http://prntscr.com/bgdxeo
B.http://prntscr.com/bgdxli
C.http://prntscr.com/bgdxsw
D.http://prntscr.com/bgdy1a
Click here to see answer by garettbuff(18)

Question 1038157: A rectangular room has a perimeter of 42 feet and an area of 108 square feet. What is the length, in feet, of the shorter side?

Click here to see answer by garettbuff(18)

Question 1038166: In which line is a mistake first made when solving the quadratic equation by completing the square?
y2 - 18y + 4 = 70
line 1:y^2 - 18y = 66
line 2:y^2 - 18y + 81 = 66
line 3:(y - 9)^2 = 66
line 4:y - 9 = � √66
line 5:y = 9 � √66

Click here to see answer by jim_thompson5910(35256)

Question 1038165: What would you add to both sides of the equation in order to solve the quadratic equation by completing the square?
a^2 - 5a = -4
options:
-2.5
2.5
-6.25
6.25
Click here to see answer by Edwin McCravy(20054)

Question 1038188: What would you add to both sides of the equation in order to solve the quadratic equation by completing the square?
5s^2 - 10s = 23
options:
100
5
25
4
Click here to see answer by Edwin McCravy(20054)

Question 1038212: How do i solve this
(x+2) squared =3(x+2)
Click here to see answer by Theo(13342)

Question 1038223: 2x� - 19 = -1
3(2x-15)�=90
Click here to see answer by addingup(3677)

Question 1038253: Which answer shows the best correct first step when solving the quadratic equation by completing the square?
x^2 + 4x + 3 = 0
x^2 + 3 = -4x
x^2 + 4x + 3 + 4 = 4
x^2 + 4x + 3 + 2 = 2
x^2 + 4x = -3

Click here to see answer by Alan3354(69443)

Question 1038252: A student solved the quadratic equation by finding the square root of both sides. In which line is a mistake first made?
b^2 - 4b + 4 = 16
Line 1:(b - 2)^2 = 16
Line 2:b - 2 = 16
Line 3:b = 18
Click here to see answer by Alan3354(69443)

Question 1038308: In which line is a mistake first made when solving the quadratic equation using the quadratic formula?
4s^2 + 100 = 40s
Line 1:4s^2 - 40s + 100 = 0
line 2:s^2 - 10s + 25 = 0
line 3: http://prntscr.com/bgx36s
line 4:http://prntscr.com/bgx3a8
line 5:s = -10 / 2
line 6: s = -5
Click here to see answer by josgarithmetic(39616)

Question 1038319: Factor 6x^3 +3x^2y -2xy �y^2 in two different ways. Show all your work.
Click here to see answer by Edwin McCravy(20054)

Question 1038322: Use grouping to factor 10ax-5ay +2bx � by. Explain each step.
Click here to see answer by Edwin McCravy(20054)

Question 1038306: The perimeter of rectangle ABCD is 42 cm and the area is 80 cm2. Which equation can be used to find the dimensions of the rectangle? (Hint: Set up a system of equations).
options:
xy + 2x + 2y = (42)(80)
x^2 + 80x - 42 = 0
x^2 - 42x + 80 = 0
x^2 - 21x + 80 = 0
Click here to see answer by josgarithmetic(39616)

Question 1038321: Tell how to factor a polynomial with four terms by grouping.
Click here to see answer by josgarithmetic(39616)

Question 1038335: 3m+8=15 it is quadratic equation? If the equation is not explain
Click here to see answer by josgarithmetic(39616)

Question 1038359: A researcher predicts that watching film on institutionalization will change students'attitudes about chronically mentally ill patients. The researcher randomly selects a class of 36 students, shows them the film, and gives them a questionnaire about their attitudes. The mean score on the questionnaire for these 36 students is 70. The score for the people in general on this questionnaire is 75 with a standard deviation of 12. Using the five steps of hypothesis testing and the 5% significance level (i.e. alpha = 05), does showing the film change students'attitudes towards the chronically mentally ill?
Click here to see answer by Boreal(15235)

Question 1038370: Can you please help me on the following question:
A bathroom floor is being tiled. One size of square tile will cover the floor with 200 tiles. another square tile, with sides 2cm less, will use 250 tiles to cover same area. Find the size of the larger tiles to the nearest cm.
Thank you appreciate it.
Click here to see answer by stanbon(75887)

Question 1038373: Tell how to factor a polynomial with four terms (that you choose) by grouping.
Click here to see answer by addingup(3677)

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, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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