Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 247930: How can this be solved by FACTORING. We have not yet gotten to the actual quadratic formula yet.
The equation is this: 25x^2=5x-1
Rearrange the formula to get: 25x^2+5x-1=0 but that is as far as I can get. I can't seem to be able to factor anything out of this. Thank you!

Click here to see answer by scott8148(6628) About Me 

Question 247950: Find the line of symmerty. (1/2 is a fraction)
(x)=8(x+1/2)^2+17

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

Question 247972: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0

Click here to see answer by solver91311(24713) About Me 

Question 248067: using the quadratic formula, what is the length and width of a rectangle if the length is 3 inches longer than twice the width and the area of the rectangle is 5 in^2?
Click here to see answer by oberobic(2304) About Me 

Question 248077: Factor the equation 2x2+7x+6
Click here to see answer by jim_thompson5910(35256) About Me 

Question 248052: 8x(6x+7)=-3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 248126: i need a little help to make sure i am doing this right.
Solve: 2x-5=(the square root of) x+20
this is what i have:
(2x-5)^2=x+20
4x^2-10x-10x+25=x+20
4x^2-20x+25=x+20
4x^2-21x+5=0
(4x-1)(x-5)=0
4x-1=0 or x-5=0
x=1/4 or x=5
but the question on my review has multiple choice answers of:
a) 1/4 b)16 c) 29 or d) 5
which is the right answer or am i correct in thinking that there are 2 possible answers?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 248159: given a quadratic equation in standard form y=ax^2+bx+c, explain what the coefficient of x^2 tells you
Click here to see answer by Fombitz(32388) About Me 

Question 248233: Can you please help me solve; x^2+√22x=0
Click here to see answer by stanbon(75887) About Me 

Question 248228: Solve by applying the Quadratic Formula. Show your work.thanks
p^2 + 3p - 9 = 0

Click here to see answer by richwmiller(17219) About Me 

Question 248249: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0

Click here to see answer by richwmiller(17219) About Me 

Question 248262: Can you please help with these word problems I am terrible at word problems. I listed the problems below along with what I could figure out. Thanks in advance.
Solving Quadratic Equations by Factoring
1. Address book. The perimeter of the cover of an address book
is 14 inches, and the diagonal measures 5 inches. What are
the length and width of the cover?
x^2+14=5^2
x^2+x^2+14=25
2x^2+14=25
-14=-14
2x^2=11 don't know if this is right thus far and where to go from here.

2. Throwing a wrench. An angry construction worker throws
his wrench downward from a height of 128 feet with an
initial velocity of 32 feet per second. The height of the
wrench above the ground after t seconds is given
by S(t)-16t^2-32t+128.
-16(t+4)(t-2)is what I have so far!!
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

Click here to see answer by stanbon(75887) About Me 
Question 248262: Can you please help with these word problems I am terrible at word problems. I listed the problems below along with what I could figure out. Thanks in advance.
Solving Quadratic Equations by Factoring
1. Address book. The perimeter of the cover of an address book
is 14 inches, and the diagonal measures 5 inches. What are
the length and width of the cover?
x^2+14=5^2
x^2+x^2+14=25
2x^2+14=25
-14=-14
2x^2=11 don't know if this is right thus far and where to go from here.

2. Throwing a wrench. An angry construction worker throws
his wrench downward from a height of 128 feet with an
initial velocity of 32 feet per second. The height of the
wrench above the ground after t seconds is given
by S(t)-16t^2-32t+128.
-16(t+4)(t-2)is what I have so far!!
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

Click here to see answer by richwmiller(17219) About Me 

Question 248250: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state. x^2 + 7x + 2 = 0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 248215: Solve the equation using the quadratic formula.
4x^2 - 23x - 6 = 0

Click here to see answer by jim_thompson5910(35256) About Me 

Question 248210: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0

Click here to see answer by jim_thompson5910(35256) About Me 

Question 248362: How do you figure out
x + 2/15 = 2/9 ????

Click here to see answer by checkley77(12844) About Me 

Question 248438: Hi!
I am completely stuck (doing homework) and could use a hand, please!
Problem:
3x^3-5x^2-15 for x=3
I came up with:
3(3)^3-5(3)^2-15
3x27-5x9-15
81-45-15
solution = 21
Am I close?
Thank you!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 248439: Hi again! This homework assignment is a bear!
This problem has me lost:
7x - 3y = 4
Thank you so very much!!

Click here to see answer by checkley77(12844) About Me 

Question 248472: Solve the quadratic equation for x by the square root:
(x-t)squared = 2

Click here to see answer by richwmiller(17219) About Me 

Question 248471: Solve the quadratic equation for x by the square root:
x squared + 8 = 3

Click here to see answer by College Student(505) About Me 
Question 248471: Solve the quadratic equation for x by the square root:
x squared + 8 = 3

Click here to see answer by jsmallt9(3758) About Me 

Question 248476: Solve proportional equation
x= 7y + 2
_______
y-3
Solve for y

Click here to see answer by dabanfield(803) About Me 

Question 248100: A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower bed?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 248212: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state.
x^2 + 7x + 2 = 0

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

Question 248605: solve this equation by completing the square:
1x^2/4+ 1x/16+ 1/8= 0

Click here to see answer by jsmallt9(3758) About Me 

Question 248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.
Click here to see answer by josmiceli(19441) About Me 
Question 248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.
Click here to see answer by dabanfield(803) About Me 

Question 248646: Solve for t
h = 16t^2 + vt + s

Click here to see answer by College Student(505) About Me 

Question 248645: Evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16

Click here to see answer by checkley77(12844) About Me 

Question 248643: The current in a stream moves at a speed of 3mph. A boat travels 45mi upstream and 45 mi downstream in a total time of 8 hours. What is the speed of the boat in still water?
Click here to see answer by checkley77(12844) About Me 
Question 248643: The current in a stream moves at a speed of 3mph. A boat travels 45mi upstream and 45 mi downstream in a total time of 8 hours. What is the speed of the boat in still water?
Click here to see answer by dabanfield(803) About Me 

Question 248701: I am supposed to write a quadratic equation in the variable x having the given numbers as a solution. I am supposed to type the equation in standard form, ax^2 + bx + c = 0. The solution is 2.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 248717: Indicate the axis of symmetry of the parabola
y = x^2 + 8x + 20

Click here to see answer by edjones(8007) About Me 

Question 248712: Solve the equation using the quadratic formula.
2x^2 = 30

Click here to see answer by dabanfield(803) About Me 

Question 248816: How do I factor 12x^2 - 10x - 42 = 0?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 248799: x^2-x=7
what is the answer to this

Click here to see answer by tutorcecilia(2152) About Me 

Question 248829: A flagpole is secured on opposite sides by two guy wires, each of which is 6 ft longer than the pole. The distance between the points where the wires are fixed to the ground is equal to the length of one guy wire. How tall is the flagpole (to the nearest inch)?
Click here to see answer by dabanfield(803) About Me 

Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0.

Click here to see answer by josmiceli(19441) About Me 
Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0.

Click here to see answer by tutorcecilia(2152) About Me 

Question 248853: Write the equation of the parabola that has the same shape as y = x2 but that has a vertex of (-3, -2)

Click here to see answer by dabanfield(803) About Me 

Question 248831: 1. x2 - 8x + 16 = 36
2. use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. 3 + 8z2 = -7z

Click here to see answer by oberobic(2304) About Me 

Question 248864: Solve the equation.
15r^2 = 3r

Click here to see answer by tutorcecilia(2152) About Me 

Question 248905: I can't get my equation in the right order, the 0 is confusing me:
4x2-9=0 the first part is four x squared.==> 4x^2-9=0
equation rewritten as 4x^2-9=0

Click here to see answer by chosenpoint(26) About Me 

Question 248881: Mixture problem: how many liters of 10% solution and how many liters of 20% solution must be mixed to obtain 20 liters of a 17.5% solution? show equations and solve
Click here to see answer by nerdybill(7384) 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, 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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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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