Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 35738: an open topped box has a square base (bottom)and a height of 7cm. if the surface area of the five sides of the box is 165cm squared, find the dimensionsof the square base?
Click here to see answer by rapaljer(4667)

Question 35726: I need assistance with this story problem-
I am building a square pond, I want to put a 2-foot wide brick border around the outside. If the total area of the border and the pond is 196 square feet, find the dimensions of the ond.
Click here to see answer by venugopalramana(3286)

Question 35719: if the box has a surface area of 214cm squared, find the the value of x. side1 is x+1, side 2 is x+2 and side 3 is x
Click here to see answer by venugopalramana(3286)

Question 35717: the base of a triangle is 3 times as long as its height. if the area of the triangle is 24 cm squared, find the length of the base and the height.
Click here to see answer by venugopalramana(3286)

Question 35716: an oopened topped box has a square base (bottom) and a height of 7cm. if the surface area of the five sides of the box is 165 cm squared, find the simensions of the square base.
Click here to see answer by venugopalramana(3286)

Question 35715: a rectangular dog kennel made using the wall of a barn and 24m of wire (to form the other three sides of the kennel). if the area of the kennel is 70m squared, find the dimensions
Click here to see answer by checkley71(8403)

Question 35777: the height h, of a ball above ground t seconds after it is thrown vertically upwards can be approximated by the formula h=vt-5t squared, wher v is the intial speed with which the ball is released in meters per second.
at what two times will a ball be 105m above ground if it is thrown vertically upwards with an initial speed of 50m/s
Click here to see answer by Earlsdon(6287)

Question 35723: I am trying to solve this story problem
It says Akron and Philadelphia are 400 miles apart. Brad's average speed is 10 miles per hour faster than Gails. Find Gail's average speed, to the nearest tenth, if she travels from Akron to Philadelphia in 1.5 hours more time than Brad.
Click here to see answer by Paul(988)

Question 35774: a lawn ahs dimensions 8m by 8m. how wide a strip must be mowed around the outside edge so that exactly half of the lawn is cut? Give your answer in simplest radical for, use the square root property to solve the equation that results.
Click here to see answer by venugopalramana(3286)

Question 35709: if n people attened a social gathering and each person shakes hands with each of the other peopleexactly once, then the number of handshakesthat will take place is give by the formula n(n-1)= 36 handskes occured?
/2
Click here to see answer by venugopalramana(3286)

Question 35797: Having trouble understanding this!

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.
Answer:
Show work in this space.

Click here to see answer by checkley71(8403)

Question 35731: cross multiply the proportion
500x=(x-5)(500+5x)
Cross multiply and solve
600(x+20=(600-x)/x
solve 12(9-x)+12(9+x)=3
finally
x^2+24=(x+1)^2-25
Click here to see answer by checkley71(8403)

Question 35825: A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft sq., what is the width of the path?
I know that the answer is 10 ft., common sense told me this. I am sure that this has to be set up as a quadriadic equation, since that is what we are studying, I just don't know how to set up the problem.
Click here to see answer by Paul(988)

Question 35827: x^4-16=0
Click here to see answer by rapaljer(4667)

Question 35847: z2+5z=-4
Click here to see answer by checkley71(8403)

Question 35155: When i worked this problem, the graph did not turn out right. The equation is xsquared-5x+6=0. I have to solve the equation by graphing. could you please help me out?
Click here to see answer by rapaljer(4667)

Question 35837: For y=2x squared, write the equation of the axis of symmetry and name the vertex?
Click here to see answer by ilana(307)

Question 35898: (i) How many solutions exist for a quadratic equation? Explain.
(ii) How do we determine whether the solutions are real or complex?
Click here to see answer by Nate(3500)

Question 35900: Translate the following into a quadratic equation, and solve it:
The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
Click here to see answer by Earlsdon(6287)

Question 35795: Having trouble understanding these equations!
1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.

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

c) Solve by using the quadratic formula.
Show work in this space.
Click here to see answer by elima(1433)

Question 35905: Please help.

3) Suppose you throw a baseball straight up at a 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?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c) How long will it take to hit the ground?
Answer:
Show work in this space.

d) What is the maximum height of the ball?
Answer:
Show work in this space.
Click here to see answer by venugopalramana(3286)

Question 35924: Given the quadratic function y = x 2 - 4 x + 3 , respond to the following:
a) Does the graph open up or down?
b) What is the equation of the axis of symmetry?

c) What are the coordinates of the vertex?
d) Give the y intercept.
e) Give the x intercept(s).
f) Sketch the graph

Click here to see answer by rapaljer(4667)

Question 35941: 7X(1-X)= 5(X-2)
Click here to see answer by rapaljer(4667)

Question 35994: 16x^2-24x+9= 0
Click here to see answer by checkley71(8403)

Question 36031: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
x^2 + 6x - 7 = 0
Click here to see answer by Cintchr(481)

Question 36030: complete the square, and find the roots of the quadratic equation.
x^2 + 16x = 0
Click here to see answer by venugopalramana(3286)

Question 36006: factor the quadratic expression completely, and find the roots of the expression.
49x^2 - 14x - 3
Click here to see answer by vidhyak(94)

Question 36109: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
x^2 + 6x - 7 = 0
Click here to see answer by Prithwis(166)

Question 36108: complete the square, and find the roots of the quadratic equation.
x^2 + 16x = 0
Click here to see answer by Prithwis(166)

Question 36107: factor the quadratic expression completely, and find the roots of the expression.
20x^2 + 13x + 2
Click here to see answer by rapaljer(4667)

Question 36135: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
z^2 + z + 1 = 0
Click here to see answer by rapaljer(4667)

Question 36106: I am having trouble with this...please help me out..tks!
apply the quadratic formula to find the roots of the given function, and then graph the function.
g(x) = x^2 - x - 12
Click here to see answer by rapaljer(4667)

Question 36105: I need help with this! Thanks so much!
apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x^2 - 4
Click here to see answer by rapaljer(4667)

Question 36143: I definately need help with this problem...thanks so very much
Apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x^2 - 4
Click here to see answer by stanbon(57282)

Question 36149: In the following problem use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
2x^2 - 6x + 5 = 0
Click here to see answer by QueenVoda(11)

Question 36148: Thanks so very much! I need your help!
factor the quadratic expression completely, and find the roots of the expression.
20x^2 + 13x + 2
Click here to see answer by narayaba(40)

Question 36139: factor the quadratic expression completely, and find the roots of the expression.
20x^2 + 13x + 2
Click here to see answer by checkley71(8403)

Question 36186: Please help me!!! I really need help! Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.

2x^2 - 10x + 25 = 0
Click here to see answer by rapaljer(4667)

Question 36146: Thanks so much!!! I need help solving this.
use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
2x^2 - 10x + 25 = 0
Click here to see answer by elima(1433)

Question 36208: Again please help. Asked question earlier but didn't get a response.
3) Suppose you throw a baseball straight up at a 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?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c) How long will it take to hit the ground?
Answer:
Show work in this space.

d) What is the maximum height of the ball?
Answer:
Show work in this space.
Click here to see answer by venugopalramana(3286)

Question 36210: Please help again. Submitted question earlier and no response.
3) Suppose you throw a baseball straight up at a 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?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c) How long will it take to hit the ground?
Answer:
Show work in this space.

d) What is the maximum height of the ball?
Answer:
Show work in this space.
Click here to see answer by venugopalramana(3286)

Question 36209: Please help! Submitted question earlier didn't get a response.
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.
Answer:
Show work in this space.

Click here to see answer by venugopalramana(3286)

Question 36233: This one is really hard for me...can you help me? I have to complete the square, and find the roots of the quadratic equation.
x^2 - 2/3x = 0
Click here to see answer by Prithwis(166)

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, 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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