Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 89097: Factor completely.
x^2 + 3x � 28

Click here to see answer by bucky(2189)

Question 89086: Find the axis of symmetry.
y = x^2 + 7x + 10

Click here to see answer by stanbon(75887)

Question 89099: During rush hour, Fernando can drive 40 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando's rate on the side roads is 7 mi/h faster than his rate on the freeway, find his rate on the side roads.
Click here to see answer by josmiceli(19441)

Question 89102: Simplify. Assume all variables are positive numbers.
sqrtx^4y^2z^5
Click here to see answer by stanbon(75887)

Question 89103: A triangle has sides 102, 90, and x, where 102 is the hypotenuse. Find x.
Click here to see answer by josmiceli(19441)

Question 89100: Find the distance between (-2,0) and (4,5).
Click here to see answer by jim_thompson5910(35256)

Question 89101: Simplify. Express your answer in simplied radical form.
sqrt 250
Click here to see answer by jim_thompson5910(35256)

Question 89091: Find the value of the polynomial �x^2 + 10x � 10 when x = �3.
Click here to see answer by jim_thompson5910(35256)

Question 89112: How do you complete the following:
Solve (x-4)^2=25
Thank you in advance for your assistance and time.
Click here to see answer by jim_thompson5910(35256)

Question 89114: Solve. 9x^2 = 14.
Any assistance on this is greatly appreciated. Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 89113: The problem reads:
Solve. x^2 - 4x = 3.
Please show the step by step process to solve this.
Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 89098: If one-half of a number is added to one-ninth of the next consecutive number, the sum is 16. What are the two numbers?
Click here to see answer by tutor_paul(519)

Question 89118: Solve by completing the square.
2x^2 + 8x + 5 = 0
If anyone could offer assistance on how to complete this problem step-by-step, it would be greatly appreciated.
Thank you in advance for your time.

Click here to see answer by tutor_paul(519)

Question 89116: Solve. 5(x � 2)^2 = 3
I do not understand how to complete this problem. Please help.
Click here to see answer by tutor_paul(519)

Question 89126: I can't get this problem right can you show me how to ork it?
Solve by using the quadratic formula. x2 = �5x + 11
Click here to see answer by ankor@dixie-net.com(22740)

Question 89126: I can't get this problem right can you show me how to ork it?
Solve by using the quadratic formula. x2 = �5x + 11
Click here to see answer by tutor_paul(519)

Question 89117: Find the x-intercepts.
y = x^2 + 2x � 15
Please show the step-by-step process to complete this problem. Thank you.
Click here to see answer by tutor_paul(519)

Question 89173: Solve
x^2+7x+2=0
Any help appreciated

Click here to see answer by jim_thompson5910(35256)

Question 89170: Solve using quadratic formula. Having trouble any help appreciated.
5x^2+x=3
Thanks,
Click here to see answer by jim_thompson5910(35256)

Question 89174: Solve by completing the square
x^2-16x+63=0
Thanks for any help.
Click here to see answer by Earlsdon(6294)

Question 89171: Solve by completing the square
x^2=5x+2
Any help is appreciated
Click here to see answer by stanbon(75887)

Question 89096: A triangle has sides 2x � 5, 3x + 1, and 4x + 2. Find the polynomial that represents its perimeter.
Click here to see answer by checkley75(3666)

Question 89088: The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm^2, find the dimensions of the rectangle to the nearest thousandth.

Hint: Call the width x. Then the length is 5x + 2. Now write your equation and solve.
Click here to see answer by ankor@dixie-net.com(22740)

Question 89201: For the quadratic fucntion Q(x) = x^2+5x-36, determine
the x-intercept(s).
Click here to see answer by jim_thompson5910(35256)

Question 89197: Solve by quadratic Equation.
3x^2-6x+2=0
Please explain.
Click here to see answer by jim_thompson5910(35256)

Question 89166: Find two consecutive positive integers such that the sum of their squares is 85.
Thank you!
Click here to see answer by Nate(3500)

Question 89237: Suzy and Charolette are involved in a service project helping ederly neighbors fix up their yards for summer. If it takes Suzy 9 hours to do the job on her own, and it takes them 4 hours working together, how long will it take Charolette to fix up the yard by herself?
Click here to see answer by checkley75(3666)

Question 89235: Maria recently applied for a job in a computer store. The position is paid a base salary of $1875 a month plus a 6% commission on all sales over $5000 during the month. How much must she sell in 1 month to earn a total of $2783.00 for the month?
Click here to see answer by checkley75(3666)

Question 89258: Write using positive exponents, and simplify if possible.
(�6x)^�3

Click here to see answer by checkley75(3666)

Question 89260: Simplify. (m^4)^3(m^2)^9/(m^3)^2
Click here to see answer by checkley75(3666)

Question 89264: Solve. x^2 = �6x
Click here to see answer by checkley75(3666)

Question 89263: Factor.
8m^4n � 16mn^4

Click here to see answer by checkley75(3666)

Question 89259: Divide. x^2-3x-18/x-6
Click here to see answer by checkley75(3666)

Question 89267: Simplify. m^2/9 (divided by) m^4/18
Click here to see answer by checkley75(3666)

Question 89143: suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50. set up an equation for the perimeter involving L, the length of the rectangle. then solve algebraically.
Click here to see answer by checkley75(3666)

Question 89288: Solve
x^2+8x-20=0
Thanks for any help
Click here to see answer by jim_thompson5910(35256)

Question 89292: The height h in feet of an object after t seconds is given by the function
h = �16t^2 + 70t + 4.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
Please provide the step by step process. Thank you in advance for your help.
Click here to see answer by jim_thompson5910(35256)

Question 89293: The problem reads
Solve by completing the square.
2x^2 + 8x + 5 = 0
My answer is -1+- square root of 2. Can you relay if this is correct and if not, what process will provide the correct answer?
Thank you for all your assistance.

Click here to see answer by Nate(3500)

Question 89295: The problem reads:
Match the graph with its equation.

A) y = �x^2 � 1
B) y = �x^2 + x
C) y = �x^2 + 1
D) y = �x^2 + 2x
The graph has a downward parabola and the axis looks like it is at 0, 0.5. Can you please provide an explanation showing all the steps? Thank you.
Click here to see answer by Nate(3500)

Question 89291: The problem reads:
Solve by completing the square 5(x � 2)^2 = 3
My answer is
x = 10+-square root of 15 over 10 which is reduced to 2+- square root of 3 over 5. Can you relay if this is correct and if not, please show the step by step process involved.
Thank you
Click here to see answer by Nate(3500)

Question 89289: Find the x intercepts
y=x^2-3x-1
Thanks
Click here to see answer by Nate(3500)

Question 89287: Solve
(x+2)^2 = 7
Thanks for any help.
Click here to see answer by Nate(3500)

Question 89283: Solve.
9x^2 = 14

Click here to see answer by Nate(3500)

Question 89276: Simplify. Express your answer in simplified radical form.

sqrt60/sqrt14
Click here to see answer by stanbon(75887)

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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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