Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 236187: x^-x=1 what is the solution set{ }?
quadratic formula.
Click here to see answer by jim_thompson5910(28598)

Question 236208: 4y^2-7y-15=0
Click here to see answer by jim_thompson5910(28598)

Question 236220: use quadractic equation to find the x intercept if any. then evaluate the function for several values of x. f(x)=-x^2-2x-1
Click here to see answer by checkley77(12569)

Question 236217: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=1/2(x+6)^2+3
Click here to see answer by stanbon(57412)

Question 236217: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=1/2(x+6)^2+3
Click here to see answer by Edwin McCravy(8916)

Question 236327: solve the quadratic equation by using the square root property.
4(a-5)^2=1
Click here to see answer by Theo(3468)

Question 236463: Please help me solve these:
5 x squared + 9x - 1 = 0
4 x sq + 12x + 7 = 0
Click here to see answer by jim_thompson5910(28598)

Question 236462: Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b, (-6,-6) and (5,5) what is an equation of the line? I'm having a hard time understanding it, can you please help me slove and understand the equation??
Thank you! :))
Click here to see answer by jim_thompson5910(28598)

Question 236448: please help me solve this equation

Click here to see answer by jim_thompson5910(28598)

Question 236478: How do you turn this equation to standard form and what are the steps to get it to the answer?
Click here to see answer by jim_thompson5910(28598)

Question 236480: Please help me with this problem:
The sum of the roots of the equation x squared -20x + 9 = 0 is______________________
The product of its roots is____________________________
Thank you very much. Carrie
Click here to see answer by user_dude2008(1861)

Question 236442: Will someone please help me solve this problem:
The difference between two numbers is 3.
Their product is 180.
What are the numbers?
Thank you.
Click here to see answer by JaspersHeart(2)

Question 236529: I am using this sight to figure out quadratic equations, but I am not sure what a certain symbol is that is being used. Here is the equation:
x= [-12 +- sqrt (144.4-4* -0.2*11)]/(-0.4)
x= [-12 +- sqrt (152.8)]/(-0.4)
My question is what does the star stand for to make it come out to 152.8?
Click here to see answer by checkley77(12569)

Question 236647: Solve: x^2 - x + 49 = 0
since b^2-4ac is negative, this has imaginary roots. I would like to know if there is a better/easier way to solve this and such quadratics..many thanks
Click here to see answer by jim_thompson5910(28598)

Question 236762: Hello,
I have had some difficulty with this problem and would very much appreciate some help with it. I am sorry, but, as I do not know how to make an exponent on my keyboard, the exponents will be signified by asterisks. The number of asterisks following a number will signify the value of the exponent.
Thank you,
x***-6x**+8x-48
Click here to see answer by scott8148(6628)

Question 236763: Hello,
I have had some difficulty with this problem and would very much appreciate some help with it. I am sorry, but, as I do not know how to make an exponent on my keyboard, the exponents will be signified by asterisks. The number of asterisks following a number will signify the value of the exponent.
Thank you,
x***-6x**+8x-48
Click here to see answer by scott8148(6628)

Question 236764: Hello,
I have had some difficulty with this problem and would very much appreciate some help with it. I am sorry, but, as I do not know how to make an exponent on my keyboard, the exponents will be signified by asterisks. The number of asterisks following a number will signify the value of the exponent.
Thank you,
Factor:
x***-6x**+8x-48
Click here to see answer by scott8148(6628)

Question 236775: Hello, I have looked at this prblem for almost two hours and I can't figure how to form the quadratic! Problem:
You can see 30 widgets at $500 per year. Furthermore, you find that for each $25 decrease in price you can sell 3 more wigdets. At what price should you sell the widgets to maximize gross income and what will that price be.
I did the long way by sub. in 25 increments and adding 3 to amount sold I came up with Gross income max = $16,875 if you sell for $375 ea. How do I work the equation to get in quadratic form from the beginning?
Thanks - Kristen
Click here to see answer by scott8148(6628)

Question 236845: Please help me solve this problem:
Find k to make the trinomial a perfect square:
r square + 10r + k
Thank you, Carrie
Click here to see answer by jim_thompson5910(28598)

Question 236907: Solve using quadratic equations:
a) x² + 3x = 10
b) 4 x² + 12x = 40
c) 4 x² + 12x + 9 = 40 + 9
d) 4 x² + 12x + 9 = 49

Click here to see answer by nyc_function(2733)

Question 236898: 40'x 80' rectangular lot...2 boys mowing one decided that will stop at a uniform distance ..moving using the collapsing pattern....what uniform distance should one stop mowing
Click here to see answer by edjones(7569)

Question 236844: Please help me solve this problem:
Find k to make the trinomial a perfect square:
r square + 10r + k
Thank you, Carrie
Click here to see answer by scott8148(6628)

Question 236902: what is the effect of the dsicriminanat on the solutions of a quadratic equation. what is the advantge of using the quadratic formula versus other methods to solve quadratic equations?
Click here to see answer by thrasherlax74(11)

Question 237081: finding complex solution
x^2+2=0
Click here to see answer by solver91311(16897)

Question 237072: how do i find the complex, rational, or real zeros in the equation 1/3x^3+ 1/2x^2 -6x
Click here to see answer by solver91311(16897)

Question 237119: hello my teacher assigned my class a project, and we have to solve this equation for y:
(X^2+y^2)^2-8X(X^2-3Y^2)+18(X^2+Y^2)=27
thank you for your help.
Click here to see answer by Alan3354(30993)

Question 237296: write the quadratic f(x)=2x^2+8x-2 in standard form. I got f(x)=(2x^2+4)-4-2, do I go further?
Click here to see answer by edjones(7569)

Question 237294: x + 10 = 3(x - 1)2
Click here to see answer by edjones(7569)

Question 237389: Please help me!
Anne Pelletier won a bronze medal in the women's springboard competition at the 1996 Summer Olympics in Atlanta. Pelletier somersaults from a 3 m springboard. Her height, h metres, above the water t seconds after she leaves the board is given by . How long is it until Pelletier reaches the water? How high is she after 0.5 seconds?

Thank you!
Click here to see answer by ankor@dixie-net.com(15661)

Question 237411: how do you factor 4c^2+4c-3
Click here to see answer by stanbon(57412)

Question 237415: For what value of K will the roots of the Equation 2x^2-4x+K=0 be REAL AND EQUAL???
Click here to see answer by stanbon(57412)

Question 237433: 81t^2 = 49
Click here to see answer by jim_thompson5910(28598)

Question 237451: Can I get 81t^2 = 49 work with Square root property
Click here to see answer by solver91311(16897)

Question 237494: Quadratic Equation
Z^2-4z+3=0
I worked it this way but can get the right answer can you tell me what I am doing wrong?
Z^2 - 4z + 3 = 0
a=Z
b=-4
c=3
z = 4+- Ѵ4^2-4(z) (3) over 2(z)
z=4+4+- Ѵ4 over 2
answer in back of book 1, 3
Click here to see answer by scott8148(6628)

Question 237505: What is the difference between:
1/x-3 and x+3/x^+9
Click here to see answer by stanbon(57412)

Question 237521: X^2 + 3-2=0
Click here to see answer by checkley77(12569)

Question 237521: X^2 + 3-2=0
Click here to see answer by College Student(505)

Question 237504: What is the average of the 2 solutions for the general equation ax^+b+c=0
How can this be useful when checking answers?
Click here to see answer by Earlsdon(6287)

Question 237525: what is the line of a quadratic equation?
Click here to see answer by unlockmath(1603)

Question 237535: z ( Z-9) = -2
Click here to see answer by edjones(7569)

Question 237615: z(z-9)=-20
Click here to see answer by nyc_function(2733)

Question 237615: z(z-9)=-20
Click here to see answer by College Student(505)

Question 237493: What value of K will the roots of the equation 2x^2-3x+K=0 be imaginary?
Click here to see answer by Theo(3468)

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, 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