Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 75009: Solve each equation for x.
2(x-5)^2 = 3
My anwer was:x=,x=. Is this correct? Thanks.
Click here to see answer by bucky(2189)

Question 75032: how do i graph this:x to the 2nd power+2=3x
Click here to see answer by stanbon(57277)

Question 75083: Use the quadratic formula to solve each of the following quadratic equations.

I needed to check my answer of: ,x=. Is this correct? Thanks.
Click here to see answer by psbhowmick(529)

Question 75086: Use the quadratic formula to solve each of the following quadratic equations.

My answer to this equation was:x=,x=. Is this correct? Thanks for your time.
Click here to see answer by Edwin McCravy(8889)

Question 75093: 30A garden area is 30 feet long qand 20 feet wide. A path of uniform width is set around the edge. If the remaining garden is 400 square feet, what is the width of the path?
30 * 20 = 600
600-400 =200
lw=Area
lw= 200
I drew a picture and still really did not make sense. If I could figure out how to use the quadratic to solve this I could easily do the actual math, but I am struggling setting up the equation.
Click here to see answer by checkley75(3666)

Question 75087: Solve the following equations. Construction.A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden is 400ft^2, what is the width of the path?
I am needing some help with this one. Thanks
Click here to see answer by ankor@dixie-net.com(15643)

Question 75194: Find the slope.
–6x – 9y = 12
Click here to see answer by josmiceli(9664)

Question 75196: Given f(x) = –x3 + 3x2 – x + 4, find f(–2), f(0), and f(3)
Click here to see answer by jim_thompson5910(28536)

Question 75304: Find the prime factorization of the number
90

Click here to see answer by rmromero(383)

Question 75408: Help me find the discriminant for :
3x^2-14x+9
Click here to see answer by stanbon(57277)

Question 75430: Represent the quantity with a real number
A country exported $60,000,000 less than it imported, creating a negative trade balance

Click here to see answer by funmath(2925)

Question 75434: |4| + |-3|
Click here to see answer by Edwin McCravy(8889)

Question 75508: how do i solve x squared - 34 + 15, and how can i do it before tomorrow, 3-23-07, i have a MAJOR test tomorrow and stressing REALLY REALLY BAD over it

Click here to see answer by checkley75(3666)

Question 75580: Solve by using the quadratic formula. 3x2 = 11x + 4
Click here to see answer by Edwin McCravy(8889)

Question 75605: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 40t + 9.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Click here to see answer by jim_thompson5910(28536)

Question 75467: Write 36x^2-360x-25y^2-100y=100 in standard form.
I know I am supposed to complete the square, but that is what I am having trouble with. Any help is very much appreciated!
Click here to see answer by scott8148(6628)

Question 75323: Please help to solve :
2x + 3y - 2z = -3
x + 9y - 2z = 3
3x + 6y + 2z = -1
Click here to see answer by ankor@dixie-net.com(15643)

Question 75651: I appreciate your help,I really need some help with this.
Solve the following equations.
a)3x^2+bx-3=0
b)5x^2+bx+1=0
c)-3x^2+bx-3=0
d) Write a rule for judging if an equation has solutions by looking at it in standard form.

Thanks a bunch!
Click here to see answer by checkley75(3666)

Question 75706: I have worked through this problem and end up with a different answer. I am not understanding how to reduce the sqrt, everything I have done to this point matched the solver. I do not want the decimal form, it needs to remain in sqrt. This not from a text book, it is practice for a placement exam.
2+ or - sqrt of 20
x= __________________

2
I imagine there is a better way to type this out for you, but I don't know it...sorry.
Truly,
Shelly
Click here to see answer by stanbon(57277)

Question 75749: Solve the following quadratic equation.
4x^2 = 13x + 12

Click here to see answer by checkley75(3666)

Question 75803: x2+4x-7=0
Click here to see answer by Cintchr(481)

Question 75883: Please help, I am having difficulty trying to figure Quadratic Equations. On page #575 of Begining Algebra Questions 2, 4, 6 and 14 are the ones I need help with. I need to write them in standard form and determine the values of a,b, and c. Your help is very appreciated. Thanks!! =)
#2. x^2+6x-5=0
#4. 4x^2+20x=0
#6. 3x^2+10x+8= -17x-2
#14. x^2+3x-40=0

Click here to see answer by checkley75(3666)

Question 75952: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
b) The ball will be how high above the ground after 1 second?
c) How long will it take to hit the ground?
d) What is the maximum height of the ball?
Click here to see answer by funmath(2925)

Question 75982: Solve (x-5)^2 = 6
My answer to this problem was: x=,x=. Is this correct? Thank you so much for your time and help.
Click here to see answer by tutorcecilia(2152)

Question 75981: Sollve using the quadratic formula.
My answer was x=,x=. Is this correct? Thanks so much for your time.
Click here to see answer by tutorcecilia(2152)

Question 75977: Solve.
My answer to this problem was: x=,x= However this is not one of the options for this problem. I need to know what I did wrong. Thanks so much.
The answers to this problem are:
a)+
b)+
c)+
d)+

Click here to see answer by tutorcecilia(2152)

Question 75979: Find the constant term that sould be added to make the following expression a perfect square trinomial.

A) 5/2
b) 25
C) 25/4
D) 25/2
I got the answer of 25/4. Is this correct? Thanks.
Click here to see answer by tutorcecilia(2152)

Question 75978: Solve. 5(x-2)^2=3
I want to check my answer of x=,x=
I needed to know if this is correct. Thanks.
Click here to see answer by ankor@dixie-net.com(15643)

Question 76004: 27-y^2=0
Click here to see answer by funmath(2925)

Question 76004: 27-y^2=0
Click here to see answer by checkley75(3666)

Question 76049: A rectangle of area 90 has a width 9 less than its length. What is the length and width of the triangle?
Click here to see answer by checkley75(3666)

Question 76043: What are two consecutive intergers whose product is 90?
Click here to see answer by checkley75(3666)

Question 76026: Need help with question #14. I need to solve for the roots of each quadratic equation using the factoring method, but I need to place the equation in standrard form before factoring. Thanks so much in advance for time and help. =)
x^2+3x-40= 0
Click here to see answer by checkley75(3666)

Question 76046: A two-digit number is five times its units digit. If the digits are reversed, the resulting number is 27 more than the original number. What is the original number?
Click here to see answer by ankor@dixie-net.com(15643)

Question 76045: The units digit of a two-digit number is 40% of the tens digit. If the digits are reversed, the resulting number is 27 less than the original number. What is the original number?
Click here to see answer by scott8148(6628)

Question 76041: What are two consecutive integers whose product is 72?
Click here to see answer by rmromero(383)

Question 76040: C is 3 years younger than D. The product of their ages is 88. How old is each?
Click here to see answer by rmromero(383)

Question 76048: A rectangle of area 63 has a lenght 2 more than its width. What is the lenght and width of the rectangle?
Click here to see answer by Cintchr(481)

Question 76112: Solve by completing the square.
x^2 + 14x + 48 = 0
My answer for this problem was -8, 6. Is this correct. Thanks so much for your time and help.
Click here to see answer by checkley75(3666)

Question 76110: Is the following trinomial a perfect square?
x^2- 14x +49
I came up with the answer of yes. Is this correct? Thanks.
Click here to see answer by wodkit02(9)

Question 76109: Solve by completing the square.
X^2 = 5x +2
My answer for this one was . Is this correct. Thanks for your time to look over this, I appreciate it.
Click here to see answer by checkley75(3666)

Question 76108: Is the following trinomial a perfect square? x^2- 8x - 16
I came up with no. Is this correct? Thanks
Click here to see answer by checkley75(3666)

Question 76100: Solve x2 - 6x + 8 = 0 by quadratic equation?
Click here to see answer by checkley75(3666)

Question 76039: A is 4 years older than b. The product of their ages is 45. How old is each?

Click here to see answer by checkley75(3666)

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