Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 322752: Ethan cuts half a rectangular lawn 40 m by 30 m by mowing a strip of equal width around the perimeter. Julia cuts the small rectangle left. How wide a strip does Ethan cut so that they share the work equally?
Click here to see answer by ankor@dixie-net.com(22740)

Question 322783: The sum of the squares of 2 consecutive even positive umbers is 452. Find the numbers.
Click here to see answer by jim_thompson5910(35256)

Question 322791:
Solve and simplify with an integer of fraction.
2/z = 7/z - 1/2
Thank you so much!!!
Click here to see answer by checkley77(12844)

Question 322790: Find the Greatest Common Factor.
-30a^2, 5a^5
Click here to see answer by stanbon(75887)

Question 322788: The area os a rectangular feild is 2275m^2. The field is enclosed by 200 m of fence. What are the dimensions of the field?
Click here to see answer by checkley77(12844)

Question 322789: Subtract and simplify if possible.
2-y / y-5 - 2y-3 / 5-y
Thank you!!
Click here to see answer by stanbon(75887)

Question 322777: The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.
Determine the zeros of the relation.
How far has the rocket traveled horizontally when it lands on the ground?
What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?
Click here to see answer by stanbon(75887)

Question 322787: The height of a triangle is 2 m more than the base. The area of the triangle is 17.5m^2. Find the length of the base and the height of the triangle.
Click here to see answer by checkley77(12844)

Question 322829: x^4-5x^-36=0 How do I solve this.
Click here to see answer by Alan3354(69443)

Question 322828: Solve for x:
2x(sq)-4x=3
I have the answer down as 4+/-(sqrt 40) over 4 but i need to know the steps that led to there....plz hlp
Click here to see answer by jim_thompson5910(35256)

Question 322830: (x+4)^=-108
Click here to see answer by Alan3354(69443)

Question 322751: A rectangular field is to be enclosed by a fence and then divded into two small plots by a fence parallel to one of the sides. If thre is 1800 m of fencing available, find the dimensions of the field that will give the maximum area.
Click here to see answer by ankor@dixie-net.com(22740)

Question 322838: The bases on a baseball diamond form a square whose side is 90 feet. How far is it from home plate to second base? Round to nearest tenth of a foot.
Click here to see answer by rfer(16322)

Question 322834: The two legs of a right triangle are 6 inches and 11 inches, respectively. Find the hypotenuse of the triangle, rounded to the nearest tenth of an inch.
Click here to see answer by rfer(16322)

Question 322818: A rectangular playground 40m by 60m is to be doubled in area by extending the length and width by an equal amount. By how much should the length and the width be lengthened?
Click here to see answer by ankor@dixie-net.com(22740)

Question 322816: Write the equation for the parabola in the form y=a(x-h)^2 +k with a y-intercept 10, x-intercept 2, and equation of axis of symmetry x-3=0
please help.
Click here to see answer by scott8148(6628)

Question 322848: Can somebody Please help me solve this problem? I have been working on it a long time and I still do not understand it.
Simplify as much as possible
x sqrt 6t^3-tsqrt24tx^2
Assume that all variables represent positive real numbers
Click here to see answer by stanbon(75887)

Question 322863: The speed of a sparrow is x mph in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out directly into the wind and returns with the wind behind him. FInd his speed in still air.
Click here to see answer by mananth(16946)

Question 322897: The path of a basketball shot can be modeled by the equation h = -0.09d� + 0.9d + 2 where h is the height of the basketball, in metres, and d is the horizontal distance of the ball from the player, in meters.
How far from the floor is the ball when the player releases it?
Click here to see answer by jessica43(140)

Question 322967: Express using a positive exponent.
k^-4
Simplify using a Positive Exponent.
Thanks!!
Click here to see answer by jessica43(140)

Question 322982: Use the quadratic formula to solve the equation.
2x^2 - 5x = -9
Type a solution set using radicals as needed. Express complex terms in terms of i. Use integers of fractions for any numbers in the expression. Use comma to separate answers.
Thank you so much!!!
Click here to see answer by stanbon(75887)

Question 322979: Solve.
Square root of 9x + 55 = x + 5
Simplify and use comma to separate answers as needed.
Thank you so much!!!
Click here to see answer by solver91311(24713)

Question 322964: Multiply
(r + 1/4)(r + 1/3)
Simplify.
Thanks!!
Click here to see answer by solver91311(24713)

Question 322976: Factor Completely
36s^2 - 121 =
Type N if it is not factorable.
Thanks!!
Click here to see answer by QH(50)

Question 322981: Rewrite with a rational exponent.
6 SQRT of 20
Simplify
Thank you so much!!!
Click here to see answer by QH(50)

Question 323004: x^2-20X=10, can we solve this by completing the square?

Click here to see answer by Fombitz(32388)

Question 323065: how to solve this equation x2( to the second power) - 2x - 13=0
Click here to see answer by Fombitz(32388)

Question 323085: How do you know when an equation has infinitely many solutions?
Click here to see answer by Fombitz(32388)

Question 322477: I am still struggling with this topic. How would I create a quadratic equation with given solutions 9 and 16?
Click here to see answer by problemsolver(1)

Question 323152: 13-x/2=x-1/2
13+1/2=x+x/2
27/2=3x/2
(27/2) x (2/3)=x
9=x
Click here to see answer by solution(1)

Question 323158: One root of the equation 2x^3 � 5x^2 � 8x + d = 0 is the negative of another. Compute d.
(A) �10 (B) �4 (C) 8 (D) 20 (E) 24
Click here to see answer by Jk22(389)

Question 323191: Solve.
(x+15)(x-10)(x+5)> 0
Is there no solution?
Is it all real numbers?
Use at least one inequality or compound inequality
Click here to see answer by stanbon(75887)

Question 323184: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
SQRT of x - SQRT of y / SQRT of x + SQRT of y
Simplify and use radicals as needed
Click here to see answer by QH(50)

Question 323274: Hi, I am having a real hard time trying to figure out this equation. I can not seem to find any kind of example that comes close enough to help me. I have a test tomorrow and this is an example of what the test is about. Here is the equation.
What are the solutions? Give exact and approximate solutions to three decimal places.
x^2 - 5x + 3 = 0
Click here to see answer by jim_thompson5910(35256)

Question 323297: Use the method of completing the square to find the standard form of the quadratic function. State the vertex and exis of symmetry of the graph of the function.
f(x)=x^2+8x+9
help please
cz
Click here to see answer by stanbon(75887)

Question 323398: Hi. I was doing some homework and I came across this question.
x(x+2)(x+7)=24
The directions were to solve for x. And I would really like to know how.
Click here to see answer by Alan3354(69443)

Question 323464: The length of a rectangle is twice the width. The area is 338 yd^2. find the length and the width
Click here to see answer by checkley77(12844)

Question 323571: how do you find the coordinates of the y-intercept?
Click here to see answer by jim_thompson5910(35256)

Question 323595: A rectangle has length ( x + 11) in width 2x in . the perimeter of the rectangle is at least 47 inches and at most 52 inches .find the greatest value of x that satisfies the condition
Click here to see answer by JBarnum(2146)

Question 323606: 4x^2 - 12x - 11 = 0
Click here to see answer by JBarnum(2146)

Question 323605: x^2 + 3/5x - 1/12 = 0
Click here to see answer by JBarnum(2146)

Question 323600: The area of a restangular poster is 1400 square centimeters. If the width of the poster is 5 centimeters less than its height, find the dimensions of the poster.
Click here to see answer by JBarnum(2146)

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