Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 419764: solve using the quadratic formula and leave the answer in radical form? Could you show work as I am very confused. Thanks.
Karyn
y^2+6y-1=0
Click here to see answer by Theo(13342)

Question 419779: subtract and simplify
1/s+1 - s^2/s+1=
hi, i need to subtract this,both denominators are the same which is good.
i end up with 1-s^2/s+1.....
when you simplify i get s-1 for an answer but not 100% sure if doing this right..can someone confirm this.
(s+1)(s-1) / s+1
Click here to see answer by Theo(13342)

Question 419820: How to use the zero-factor property when solving a quadratic equation.
Click here to see answer by MathLover1(20849)

Question 420061: How do you use the zero-factoring property when solving a quadratic equation?
Click here to see answer by MathLover1(20849)

Question 420112: Solve using the quadratic formula and leave the answer in radical form:
y^2+6y-1=0
Click here to see answer by rfer(16322)

Question 420127: i need help finding the axis of symmetry and vertex of the function f(x)=-2x^2, im confused because it doesnt give me B nor C only A.
Click here to see answer by dnanos(83)

Question 420127: i need help finding the axis of symmetry and vertex of the function f(x)=-2x^2, im confused because it doesnt give me B nor C only A.
Click here to see answer by Earlsdon(6294)

Question 420301: I need help solving this quadratic equation and leaving it in radical form I don't know how to set it to zero? I know how to use the quadratic formula so I need help on how to set the equation to zero so I can solve using the quadratic formula? (x+8)(x-4)=-3(2x+5) thank you for your help
Click here to see answer by mananth(16946)

Question 420393: Solve: 8/(x+2)+8/(x-2)=3
Click here to see answer by Gogonati(855)

Question 420561: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
14x-2y=6
7x-y=3
x = ?
y = ?
Click here to see answer by sudhanshu_kmr(1152)

Question 420565: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+y=9
x-y=1
x = ?
y = ?
Click here to see answer by sudhanshu_kmr(1152)

Question 420566: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+y=10
-x+y=6
x = ?
y = ?
Click here to see answer by sudhanshu_kmr(1152)

Question 420563: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
3x-21y=6
x-7y=8
x = ?
y = ?
Click here to see answer by sudhanshu_kmr(1152)

Question 420591: a father and son are chatting when the son poses this question "Dad,Im 22 but just how old are you? the father replies,"You want to know how old your old man is,eh? Hmm, well, I tell you what. im as old as your age, plus half of my age."
How old is the father? explain.
Click here to see answer by ankor@dixie-net.com(22740)

Question 420735: 12x^2-18x-6
i used the -b +- square root of b^2-4ac over 2a formula, but i dont know if my answer is right.
Click here to see answer by stanbon(75887)

Question 420491: when solving quadratic equations, you can solve by using the quadratic folmula, or completing the square or factoring. What are the pros and cons of each. When might each method be most appropriate?
Click here to see answer by richard1234(7193)

Question 420797: State the value of the discriminant, and the describe the nature of solutions:
-4x^2-5x+4=0
A. The equation has two real solutions
B. The equation has one real solution
C. The equation has two imaginary solutions
Click here to see answer by ilana(307)

Question 420802: can you help me graph this equation x^2+2x+5
Click here to see answer by stanbon(75887)

Question 420850: Hi, I'm having issues understanding a quadratic equation that was given to me as an example. I do not under stand the second line and how they got to it. Could someone please explain it or show the steps that were taken to get there.
The equation is d^2-7d+9=0. Here are the steps I was given.
d^=7d-9
d^2-7d+9=0
d=(7+_ Square root of 49-4(9)) divided by 2
d=(7+_squareroot of 49-36)/2
d= (7+- squareroot of 13) /2
Now I can see how step 1 to 2 is done that is simple and I can see how it goes from step 4 to the answer but I can not understand how to go from step 2 to step 3.
I have tried it myself. here is what I keep getting.
d^2=7d-9
d^2-7d+9=0
d(d-7)+9=0
d(d-7)=-9
d-7=-9/d
d=-9/d+7
2d=-9+7
2d=-2
d=-1
I know my answer is incorrect, Please Help me
Click here to see answer by mananth(16946)

Question 420862: Find the roots of the polynomial equation
x^3 + x^2 -17x +15 = 0
Click here to see answer by Alan3354(69443)

Question 420862: Find the roots of the polynomial equation
x^3 + x^2 -17x +15 = 0
Click here to see answer by Edwin McCravy(20054)

Question 421034: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+y=7
y=4
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421031: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+5y=2
y=x+4
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421033: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+y=7
x=-6

x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421022: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+y=9
-x+y=1
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421021: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+y=7
x-y=-9
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421028: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
y=x+2
y=-x-6
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421027: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
3x+y=0
x-3y=0
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421026: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
18x-3y=3
6x+y=-1
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421025: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
6x-2y=8
x-y=1
x = ?
y = ?
Click here to see answer by Alan3354(69443)

Question 421074: The point (5,4) lies on the graph of a quadratic function whose zxis of symmetry is x=2. Find another point on the graph, without graphing.
Click here to see answer by robertb(5830)

Question 421118: Help me solve this please
w^4 -12w^2-2=0
Click here to see answer by stanbon(75887)

Question 421174: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
3x+y=0
x-3y=0
x = ?
y = ?
pls show me the steps
Click here to see answer by stanbon(75887)

Question 421178: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x+y=7
y=4
x = ?
y = ?
pls show me the steps
Click here to see answer by stanbon(75887)

Question 421180: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x=-4
y=8
x = ?
y = ?
pls show me the steps
Click here to see answer by MathLover1(20849)

Question 421228: find the vertex, the line of symmetry, the max or minimum value
of the quadratic function, and graph the function.
f(x) -2x^2 + 2x + 4
Click here to see answer by MathLover1(20849)

Question 421227: 3x^2 find the vertex and line of symmetry
Click here to see answer by rfer(16322)

Question 421231: Find the vertex, the line of symmetry, and the max or minimum value of f(x). Graph the function.
f(x) = -5(x+5)^2 + 4
Click here to see answer by rfer(16322)

Question 421216: a sprinkler that sprays water in a circular motion is to be used to water a square garden. If the area of the garden is 920 square feet, find the smallest whole number radius that the sprinkler can be adjusted to so that the entire garden is watered.
Click here to see answer by ankor@dixie-net.com(22740)

Question 421483: Solve. 6x^4-7x^2=0 I know I cannot factor and have to use the quadratic formula.
This is what I have but not 100% sure if I am doing my math correctly. Please Help!
-(-7)+√(-7)^2-4(6)(2)/2(6) = 7+√1/12 or 7-√1/12
Please let me know if these are correct or not! Thanks sooooo much!
Click here to see answer by Theo(13342)

Question 421527: Need help having trouble with my math on this one I know I cannot factor and have to use the quadratic formula to solve, I posted the problem wrong earlier.
6x^4-7x^2+2=0
This is what I have so far
-(-7)+√(-7)^2-4(6)(2)/2(6)
49+√1/12 or 49-√1/12
I am unsure if this is in its simplest form or even if my math is correct as I am having trouble checking it. Any help is greatly appreciated. Thanks!
Click here to see answer by sudhanshu_kmr(1152)

Question 421648: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
18x-3y=3
6x+y=-1
x = ?
y = ?
pls show me the steps to get the answer
Click here to see answer by the_tutor2011(8)

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, 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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