Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 473940: A farmer decides to enclose a rectangular garden, using ths side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft of fence? What should the dimensions of the garden to be to give this area?
The maximum area that the farmer can enclose with 100 ft of fence is ____ sq ft.
The dimensions of the garden to give this area is 50 ft by ___ ft.
Click here to see answer by richard1234(7193)

Question 473954: Determine the nature of the solutions of the equation.
x^2-2x+5=0
The equation has
A. Two non-real numbers.
B. Two real solutions.
C. One real solution.

Click here to see answer by Tatiana_Stebko(1539)

Question 473999: (a+2)(a+3)
Click here to see answer by Tatiana_Stebko(1539)

Question 474010: Give exact and approximate solutions to three decimal places.
(x+5)^2=9
What are the exact solutions?
(Type an exact answer, using radicals as needed. Rationalize all denominators. Express all complex numbers in terms of i. Use a coma to separate your answers.)
Click here to see answer by stanbon(75887)

Question 474144: I have this math problem 5x^2 -7x-3=0. I am thinking there is no solution to this problem but i may be incorrect. The reason I feel this way because I can not find an equation that will equal 7 and come out three. I am really lost.
Click here to see answer by stanbon(75887)

Question 473894: b. Suppose a scientist on Earth throws a baseball upward. The scientist lets go of the ball 2 meters above the ground with an initial velocity of 10 meters per second. How long does it take for the ball to hit the ground (H=0)? (Use the quadratic formula to solve this problem, show all work). Write a statement to interpret your results.
Click here to see answer by ankor@dixie-net.com(22740)

Question 474168: Hi, i've literally tried everything to find out about the quadratic formula; can you help me solve this?

directions say "solve equation with the quadratic formula"
thanks! (:
Click here to see answer by Alan3354(69443)

Question 473950: Find the the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=-2x^2+2x+7
The x coordinate of the vertex is ___. (Type a simplified fraction.)
The y coordinate of the vertex is ___. (Type a simplified fraction.)
The equation of the line of symmetry is x=____. (Type a simplified fraction.)
The maximum/minimum of f(x) is ___ .(Type a simplified fraction.)
Then please draw a picture of the correct graph.

Click here to see answer by ewatrrr(24785)

Question 473895: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
f(x)=-(x+8)^2-3
The vertex =
The line of symmetry =
The minimum or maximum value=
Is this maximum or minimum?

Click here to see answer by ewatrrr(24785)

Question 474242: Foe the following equation, state the value of the discriminant and then describe the nature of the solutions
-19x^2-2x+7=0
^means raising to that power
which statement is correct?
a) the equation has 2 imaginary solutions
b) the equation has 2 real solutions
c) the equation has one real solution
Click here to see answer by josmiceli(19441)

Question 474250: solve
6x^4-11x^2+3=0
^means raising to that power
Click here to see answer by solver91311(24713)

Question 474368: what is the quadratic equation with solutions 5 and 4
Click here to see answer by richard1234(7193)

Question 474370: compute the discriminant of the quadratic equation 2x^2-3x-5=0 and then write a brief sentence describing the number and type of solutions for the equation. show your work
Click here to see answer by jorel1380(3719)

Question 474371: Solve for the Root.
6x^2 = 16x - 8
Click here to see answer by jorel1380(3719)

Question 474461: For all x>3, which of the following is equivalent to 2x^3+5x^2+12/x+3
2x^2-x+15/x+3
2x^2-x+3+3/x+3
2x^2+x+3+3/x+3
2x^2+x-3
2x^2+x+3
Click here to see answer by stanbon(75887)

Question 474494: Solve using the Factoring method.
8x^2+19x=15
Click here to see answer by nerdybill(7384)

Question 474494: Solve using the Factoring method.
8x^2+19x=15
Click here to see answer by stanbon(75887)

Question 474517: Solve Each Equation Using The Method of Completing the Square
1.)

2.)

3.)
Click here to see answer by Edwin McCravy(20054)

Question 474514: Solve the following Using Cramer's rule
1.) 8x+5y=7
6x-7y=59
2.) 3x-7y=34
8x+9y=-20
3.) 3x-2y+2z=0
4x+3y-z=-15
2x+5y+4z=-10
Click here to see answer by MathLover1(20849)

Question 474536: is the slop of a quadratic independent of the constant term of the equation "C"?

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

Question 474400: I need help, here is the question, what is the answer, please, please please...
While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. If the total distance of the roundtrip was 640 miles, find the speed driven while returning.
Click here to see answer by lwsshak3(11628)

Question 474662: x^2+2x=0 what number is needed to complete the square if answer not an interger then round to nearest hundreth
Click here to see answer by MathLover1(20849)

Question 474706: Find the roots of each equation using the Quadratic Formula

Click here to see answer by jorel1380(3719)

Question 474758: Simplify:
3^-2
Please show me step by step to get the answer. thanks
Click here to see answer by stanbon(75887)

Question 474764: Simplify:
-6(bc^4)^-3
Please show me step by step to get the answer. thanks
Click here to see answer by stanbon(75887)

Question 474760: Simplify:
(-3b^-2c^-6)(-b^9c^-1)
Please show me step by step to get the answer. thanks
Click here to see answer by MathLover1(20849)

Question 474781: Simplify:
1/b^-1 x 1/c^-1
Please show me step by step to get the answer. thanks
Click here to see answer by stanbon(75887)

Question 474782: Simplify:
b^-1 + c^-1
Please show me step by step to get the answer. thanks
Click here to see answer by stanbon(75887)

Question 474710: Find the sum and the product of the roots of each quadratic equation
1.)
2.)
3.)
Click here to see answer by richard1234(7193)

Question 474795: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 4x^2+3x+20=0
Click here to see answer by rfer(16322)

Question 474795: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 4x^2+3x+20=0
Click here to see answer by mananth(16946)

Question 474756: Simplify:
(130^-1)^-1
Please show me step by step to get the answer. thanks
Click here to see answer by rfer(16322)

Question 474775: Simplify:
(2b^-7c^4)^4 / 5^-1b^2c^6
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474780: Simplify:
(8b^-2c^2 / 12b^-5c^-3)^-3
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474779: Simplify:
(2bc^-7 / 5b^-1c^-2)^3
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474774: Simplify:
(16b^-2c)(25b^4c^-5) / (15b^5c^-1)(8b^-7c^-2)
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474767: Simplify:
-28b^-2c^-3 / 4b^-3c^-1
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474762: Simplify:
(b^4c^-7)^-5
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474772: Simplify:
(-3b^4c^-1)(2b^-7c^-8) / 42b^-5c^4
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474769: Simplify:
18b^5c^3d^-7 / -24b^-6c^3d^-2
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474765: Simplify:
(7b^-4c^-1)^-2(2b^3c^-2)^5
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

Question 474759: Simplify:
(b^5)^-8
Please show me step by step to get the answer. thanks
Click here to see answer by Alan3354(69443)

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