Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 702261: If x and y are roots of the quadratic equation , show that = such that .
I need steps. Thanks.
Click here to see answer by jim_thompson5910(35256)

Question 702318: dtermine which number in the set is a solution to the given equation 9x-8=56-7x;[0,4,10]
Click here to see answer by Simnepi(216)

Question 702392: I was given the word problem:
While Darnell is grounded his friend Jack brings him a video game. Darnell stands at his bedroom window, and Jack stands directly below the window. If Jack tosses a game cartridge to Darnell with an initial velocity of 35 feet per second, an equation for the height h feet of the cartridge after t seconds is h=-16t^2+35t+5.
a. If the window is 25 feet above the ground, will Darnell have 0, 1, or 2 chances to catch the video game?
b. If Darnell is unable to catch the video game, when will it hit the ground?
Can you please help, I'm lost.
Thank you!

Click here to see answer by stanbon(75887)

Question 702568: The roots of a quadratic are -7 and -2. What is the equation of the quadratic function?
Click here to see answer by solver91311(24713)

Question 702568: The roots of a quadratic are -7 and -2. What is the equation of the quadratic function?
Click here to see answer by stanbon(75887)

Question 702600: Please help me factor x^3+4x^2-5x
Click here to see answer by solver91311(24713)

Question 702716: A shopkeeper buys a number of packets of biscuits for Rs.80.If had bought 4 more packets for the same amount,each packet would have lost Rs.1 less.How many packets he did buy?
Click here to see answer by sachi(548)

Question 702893: find the missing root if 8 is a root of x^2+16x+c=0
I tried the sum formula which is -b/ a so i took -16/1 and got - 16 for my answer which was not right
Click here to see answer by mouk(232)

Question 702993: x^2+11=6x
Click here to see answer by Alan3354(69443)

Question 703141: In the quadratic equation ax2 + bx + c = 0, if b2 - 4ac = 0, which of the following is true of the equation?

Click here to see answer by AnlytcPhil(1806)

Question 703178: x^2+4x+4=25
Click here to see answer by nerdybill(7384)

Question 703178: x^2+4x+4=25
Click here to see answer by itzjoolie(1)

Question 703168: g(x)=-2x^(2)+4x does the function have a minimum or maximum value?
Click here to see answer by lwsshak3(11628)

Question 703182: qudratic equation x^2+3x-5=0
Click here to see answer by jim_thompson5910(35256)

Question 703149: If 3 times a number equals the number plus 24, what is the number?

Click here to see answer by checkley79(3341)

Question 703271: (2m+3)(4m+3)=0
Click here to see answer by Nfrey78(18)

Question 703275: Thank you in advance for an answer to this question. The example 6x^2-9x=60 was given.
Of course, I set the example to zero, found the greatest fact and this is my result: 3(2x^2-3x-20)=0 was the result which I then factored further by grouping and the result was: 3(2x+5)(x-4)=0 then I set each factor to zero and got the correct answer of x=-5/2 and x=4 which the example showed as the possible results, however, it is confusing to me why we disregard the 3 which is another factor. Can you give me some thoughts regarding this.
Tina
Click here to see answer by Nfrey78(18)

Question 703344: CAN YOU HELP ME WITH THE FOLOWING PROBLEM?
3^2*4-6+(10-4)^3/2
Click here to see answer by solver91311(24713)

Question 703344: CAN YOU HELP ME WITH THE FOLOWING PROBLEM?
3^2*4-6+(10-4)^3/2
Click here to see answer by AnlytcPhil(1806)

Question 703589: I'm hoping someone can help as I have no idea where to begin with this one.
Write an equation for a parabola that is congruent to the graph of y=3x^2+4x+5. Explain why the parabolas are congruent.
Thanks so much...all I know is the definition of congruent!
Click here to see answer by josgarithmetic(39616)

Question 703591: I really appreciate any help with this question:)
A ball is thrown vertically upward with an initial speed of 35m/s. Its height h metres, after t seconds is given by the formula h=-4.9t^2+3.5t.
a)What is the maximum height reached by the ball?
b)How long is the ball in the air?
c)How many seconds is the ball highter than 30m?
I know
a=-4.9
b=35
c+0 I also found the height (which I don't need) using t=-b/2a
Really...really appreciate any help:)!!
Click here to see answer by nerdybill(7384)

Question 703578: The employment is 8.6% convert it to a demical and then to a reduce fraction, and out of 390,000 people. How many are able to work?
Click here to see answer by KMST(5328)

Question 703679: The unemployment rate is 8.6 % convert to a demical and then reduce the fraction to the lowest terms, and out of 390,000 people. How many are able to work?
Click here to see answer by josmiceli(19441)

Question 703744: Solve for x.
107. 8ax - 3 = 2x
108. 6x - 5y = 4bx
Click here to see answer by ankor@dixie-net.com(22740)

Question 703662: Solve by factoring 4x2=x
Click here to see answer by mouk(232)

Question 703806: hello I would like to ask for help setting up a word problem. I know how to solve it once it is set as an equation but I sometimes have trouble getting them in the right format to get the correct answer. Here is the problem:
A computer keyboard is 11 in. longer than it is wide. If the length and width are increased by 2 in. the area is increased by 54 in. Find the length and width of the keyboard.
Thank you very much I really appreciate the help. I like to figure these out by myself but can't this one
Click here to see answer by stanbon(75887)

Question 703839: Can you help me factor this equation?
2x^2+5x+3.
ac=6
b=5
I'm guessing the factors are 2 and 3? Can you please confirm if I am right?
Thank you so much!
Click here to see answer by jim_thompson5910(35256)

Question 703841: Determine the roots of each equation
x^2+5x+10=0
a=1
b=5
c=10
I don't know where to go after this. If you could help me, I would really appreciate it:)
Click here to see answer by jim_thompson5910(35256)

Question 703840: Can you help me factor this equation?
21X^3y^2+12x^2y^3.
I factored out 3x^2y^2(7x+4Y)
Can you please confirm if I am right?
Thank you so much!
Click here to see answer by jim_thompson5910(35256)

Question 703935: Find the equation of the parabola with vertex (-2,0) and y intercept 4.
Can you please help me? Thanks so much in advance
Click here to see answer by josmiceli(19441)

Question 703935: Find the equation of the parabola with vertex (-2,0) and y intercept 4.
Can you please help me? Thanks so much in advance
Click here to see answer by Edwin McCravy(20054)

Question 703939: Find the equation of the parabola with vertex (4,-4), the parabola opens upwards and is congruent to y=1/2x^2.
Can you please help me? Thanks so much in advance:)
Click here to see answer by DrBeeee(684)

Question 703933: Find the equation of the parabola when the x intercept is -6, y intercept is 36 and axis of symmetry is x=-6.
Can you please help me? Thanks so much in advance
Click here to see answer by josmiceli(19441)

Question 703934: Find the equation of the parabola with vertex (-2,0) and y intercept 4.
Can you please help me? Thanks so much in advance
Click here to see answer by lwsshak3(11628)

Question 704015: Could you please help me on these last 5 questions that I can't seem to figure out??
1. Find the maximum or minimum of the following quadratic function: y =x^2 - 10x + 25.
2. Find the maximum or minimum of the following quadratic function: y =x^2 - 2x - 48.
3. Find the maximum or minimum of the following quadratic function: y = x^2 - x - 56.
4. Find the maximum or minimum of the following quadratic function: y = 16x^2+ 40x + 25.
5. Find the maximum or minimum of the following quadratic function: y = x^2 - 16.

Click here to see answer by lwsshak3(11628)

Question 703987: given that and are roots of quadratic equation , where is constant, find the value of and .
I need steps .
Click here to see answer by josgarithmetic(39616)

Question 703974: A large plywood box has a volume of 1008 ft^3. Its length is 16 ft greater than its height, and its width is 9 ft less than its height. What are the dimensions of the box?
Click here to see answer by josgarithmetic(39616)

Question 704018: 3 circle, radii of centre PQR are 3.5 cm, x cm, 7 cm. Given that angle of PQR = 90 degree.
a. show that
b. find x

Click here to see answer by sachi(548)

Question 704078: m+m=

Click here to see answer by checkley79(3341)

Question 704148: Can someone please help me with this question:)
y=-x^2-2x+2
a)Find the y-intercept...I set x to zero and got (0,2)
b)Find the x-intercept (use quadratic formula) Please help:)
c)The coordinates of the vertex (no clue)
d)the coordinates of the image of the point corresponding to the y-intercept reflected in the axis of symmetry (really no clue...please help)
Thank you!
Click here to see answer by lynnlo(4176)

Question 704143: Determine the equation of the axis of symmetry of a quadratic function that has zeros -3 and 5. I know the equation for axis of symmetry is x=-b/2a...but I don't know how to find those numbers with only having the zeros? Any help would be greatly appreciated:)
Click here to see answer by KMST(5328)

Question 704200: Determine the equation of a parbola with vertex (3,9) and an intercept at the origin.
I know I can put this in vertex form and have h,k, but I don't know the significance of the intercept at the origin?
Thank you so much!
Click here to see answer by josmiceli(19441)

Question 704198: I'm getting stuck at the end of this one...any help would be greatly appreciated!a pen with one side against a wall WITH 6M of fencing. X is the width and the length is (6-2x). The area is a=x(6-2x).
A). What dimensions of the pen will produce the maximum area?
B) what is the maximum area?
I have done the following
A=(6x-2x)
Max area occurs at axis of symmetry
X=-6/-4
3/2 is the max area
L=6-2(3/2)
Length=5.5?
I have a hard time working with fractions...any help would be greatly appreciated!
Click here to see answer by josmiceli(19441)

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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, 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