Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 45887: multiply and simplify
square root 18x multiple square root 6y
Click here to see answer by Nate(3500)

Question 45885: cube sqrt -64a^14b^7
Click here to see answer by Nate(3500)

Question 45930: add or subtract as indicated _ ___ 2Ö5 + 5Ö125

Click here to see answer by AnlytcPhil(1277)

Question 45942:

find the power of i 

i¹⁸

Click here to see answer by AnlytcPhil(1277)

Question 45942:

find the power of i 

i¹⁸

Click here to see answer by kim15432(2)

Question 45872: Xsquared-14x+40=0
Click here to see answer by atif.muhammad(135)

Question 45943: write in terms of i
sqrt -160
Click here to see answer by kim15432(2)

Question 45999: rewrite the expression with a positive rational exponent, if possible
(1/125)to the negative 1/3 power
Click here to see answer by Nate(3500)

Question 46006: sqrt 5 multiple sqrt 3
Click here to see answer by Nate(3500)

Question 46002: (100x^8y^6)^1/2
Click here to see answer by tutorcecilia(2152)

Question 46004: simplify the following radical
sqrt8 /x^10y^10
Click here to see answer by tutorcecilia(2152)

Question 46000: use properties of rational exponents to simplify the expression
x^2/5 x^4/5 over x^3/5
Click here to see answer by fractalier(2101)

Question 46063: 1+3i over 5+6i
1+3i/5+6i
Click here to see answer by Nate(3500)

Question 46062: (4+7i)(2-5i)
Click here to see answer by Nate(3500)

Question 46061: (6+9i)(-9+i)
Click here to see answer by Nate(3500)

Question 46060: 5 over 8-sqrt5
5/8-sqrt5
Click here to see answer by Nate(3500)

Question 46096: simplify the radical
(x^10y^10)^8
Click here to see answer by Nate(3500)

Question 46159: My question is relating to 5x=-4x^2-2
I know I use the qadratic equation of x= -b+- b^2-4ac/2a. I can't put the square root sign in the fornula.
anyways, near the end I have a - on the top and bottom. do i only use the (i) on the top, or both?
Click here to see answer by Earlsdon(6287)

Question 46158: I am having problems completing this problem.
Solve by completing square root. Equation has real number solutions.
3p^2-12p-10=0
So far I have worked it to:
p^2-12p/3-10/3=0
p^2-4p-10/3=0
where do I go from here?
Click here to see answer by Earlsdon(6287)

Question 46186: The sum of the squares of three consecutive even integers is 116. Find the integers.
Click here to see answer by checkley71(8403)

Question 46094: solve the equation
square 2x+1 = 19
Click here to see answer by checkley71(8403)

Question 46095: solve the equation
square x^2 - 15 = 7
Click here to see answer by checkley71(8403)

Question 46233: factorise x cubed + 2x squared - 2x - 4 and find the exact value of each of the solutions of the equation x cubed + 2x squared - 2x - 4 = 0
Click here to see answer by gsmani_iyer(180)

Question 46234: solve 9^(2x + 1) = 27^x
Click here to see answer by longjonsilver(2297)

Question 46342: the sum of two numbers is two hundred thirty. their difference is sixty. what are the numbers? *SOLVE USING A SYSTEM OF EQUATIONS
Click here to see answer by Nate(3500)

Question 46342: the sum of two numbers is two hundred thirty. their difference is sixty. what are the numbers? *SOLVE USING A SYSTEM OF EQUATIONS
Click here to see answer by mszlmb(115)

Question 46343: 6. The length of a rectangle is 1 cm longer than its width. If the diagonal
of the rectangle is 4 cm, what are the dimensions (the length and width) of
rectangle?
Is this right so far. I don't understand after this.
x2 +(x+1)2=4sq
x2 +x2 + 1x +1 = 16
2x2 + 1x - = 0 I don't understand how to get the next part?
Click here to see answer by checkley71(8403)

Question 46331: Hey gang, I have 2 problems on perfect squares:
1. Find the value of "d" such that t^2 - 14t + d is a perfect square.

2. Find the value of "k" such that z^2 - 2z + k is a perfect square.

Thanks
Click here to see answer by checkley71(8403)

Question 46367: A ball is thrown upward from the roof of a building 100 m tall with an
initial velocity of 20m/s.
36. When will the ball reach a height of 80m?
Above is part of the problem.
I am totally confused with this problem.

Click here to see answer by Earlsdon(6287)

Question 46387: Factor completely. x2 – 3x – 18

Click here to see answer by corrie21(4)

Question 46663: If x=3 and x=-5, form a quadratic equation.
Click here to see answer by checkley71(8403)

Question 46660: The equation h=-16t^2-32t+320 gives the height od a ball, thrown downward from the top of a 320-ft building with an initial velocity of 32ft/s. Find the time it takes for the ball to reach a height of 64ft.
Click here to see answer by Nate(3500)

Question 46665: the sante fe rec. department has a 50 foot by 70 foot area for construction of a new pool. The pool will be surrounded by a concrete sidewalk of constant width. Because of water restrictions, the pool can have a maximum area of 2400 square feet. What should the width of the sidewalk that surrounds the pool be?

Click here to see answer by checkley71(8403)

Question 46859: Solve the equation log314 + log3x = log342
Click here to see answer by atif.muhammad(135)

Question 46915: Please help me figure out this problem (x-2)x-(x-2)
Click here to see answer by stanbon(57361)

Question 46925: 4) Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.

Click here to see answer by checkley71(8403)

Question 46887: Solve by using the quadratic formula.
x^2 + x - 20 = 0
Thanks!
Click here to see answer by fractalier(2101)

Question 46964: For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.

b) What is the line of symmetry?
Answer:

c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.

Explanation of graphing.

d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:

Click here to see answer by Nate(3500)

Question 46965: Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation
Click here to see answer by Nate(3500)

Question 46963: Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.

b) Solve by completing the square.
Answer:
Show work in this space.

c) Solve by using the quadratic formula.
Answer:
Show work in this space.

Click here to see answer by Nate(3500)

Question 47097: the answer is 9.8 and 1.2 how did it happen?
a^2-11a=12=o
=11-sqrt73/2 or 11+sprt73/2 ????????????? sqrt 73 is not an integer
Thank you
Click here to see answer by Earlsdon(6287)

Question 47373: Solve the following quadratic equations by factoring or by any of the techniques.
4x^2 - 8x + 3 =5
Thanks
Click here to see answer by beccap528(1)

Question 47371: Solve the following quadratic equations by factoring or by any of the techniques
x^2 - 9x - 4 =6

Thanks
Click here to see answer by checkley71(8403)

Question 47370: Solve the following quadratic equations by factoring or by any of the techniques.
(x-1)^2 = 7
Thanks
Click here to see answer by Nate(3500)

Question 47459: Solving for b

-3x^2 + bx - 3 = 0
Thank You!
Click here to see answer by checkley71(8403)

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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