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Question 862712: I already know correct answer to following (is provided in back of book).
What I want to know is where my error is so I don't do it again (hopefully).
3x=sqrt((9x+2)/2));
a) clear radical in denominator by multiplying right side by (sqrt2/sqrt2): becomes 3x=(sqrt(9x+2)2))/2;
b) distribute 2 under radical: becomes 3x=(sqrt(18x+4))/2;
c) clear fraction by multiplying both sides by (2): becomes 6x=(sqrt(18x+4);
d) 4 under radical resolves to: 6x=2(sqrt18x);
e) square both sides to clear radical: becomes 36x^2=4(18x) or 36x^2=72x;
f) set equation to zero: 0=36x^2-72x;
g) factor out 36: becomes 0=x^2-2x;
h) complete square: x^2-2x+1=1 or (x-1)^2=1
i) take square rt both sides: x-1=+or-1
j) x={0,2}
...which is incorrect. Can't spot my error.
Click here to see answer by josgarithmetic(39617)

Question 862757: David has 280 yards of fencing to enclose a rectangular area. Find the demensions of the rectangle that maximize the enclosed area.What is the maximum area?
Click here to see answer by lwsshak3(11628)

Question 862815: Can you simplify √8x^2+2x+1 all over 4?
Click here to see answer by josgarithmetic(39617)

Question 862912: f(x) = x2-2x-6

Click here to see answer by JulietG(1812)

Question 863163: a rectangular piece of cardboard has a length that is 3 inches longer than the width. A square 1.5 inches on a side is cut from each corner. the sides are then turned up to form an open box with a volume of 162 cubic inches. find the dimensions of the original piece of cardboard.
Click here to see answer by josgarithmetic(39617)

Question 863472: Find the real or imaginary solutions by factoring this equation.
3x^3 + 3x^2 - 27x = 0
I know it's going to be put in the Quadratic formula. show work please
Click here to see answer by Alan3354(69443)

Question 863495: how do I work this equation
2x squared + 3x = 5
Click here to see answer by josgarithmetic(39617)

Question 863593: (4x^4/3)+(7x^2/3)=2 solve the equation (hint-quadratic in form)
Click here to see answer by josgarithmetic(39617)

Question 863592: Use the Quadratic formula to solve the Quadratic equation 3x^2=36-3x
Click here to see answer by Theo(13342)

Question 863565: Solve the Quadratic equation by using the Quadratic formula. Write you answer in a set.) 3z^2=36-3z
Click here to see answer by Fombitz(32388)

Question 863671: x^2+4x+3=0

Click here to see answer by Fombitz(32388)

Question 863711: Sketch the graph of each quadratic function. Indicate the coordinates of the vertex of the graph.
F(x) = -3x�- 9x+ 8

Click here to see answer by sheldonbbtrocks(115)

Question 863712: A projectile on Earth is fired straight upward so that its distance (in feet) above the ground t seconds after firing is given by s (t) = 16t� + 400t
Find the maximum height it reaches and the number of seconds it takes to reach that height.

Click here to see answer by ewatrrr(24785)

Question 863803: A rectangular dog pen must have an area of 300 square feet. The length must be 50 feet longer than the width. What are the dimensions of the pen.
The width is ?
The length is?
Click here to see answer by ewatrrr(24785)

Question 863843: Find the quadratic function that fits the data points for(-1,0) (3,0) (5,3)
Click here to see answer by stanbon(75887)

Question 863849: x^2=3x+3

how do you do the quadratic formula with this
Click here to see answer by richwmiller(17219)

Question 863810: What is the product of the roots of x2 􏰁 4x 􏰀 k 􏰂 0 if one of the roots is 7? how do you complete this?

Click here to see answer by Alan3354(69443)

Question 863861: Find the points of intersection of the parabola y = x^2 - 7x + 23 and the straight line y = 7x - 1 algebraically.
Click here to see answer by ewatrrr(24785)

Question 862071: A rocket is launched from ground level with an initial velocity of 224 ft/s. The height (h) in feet of the rocket at any given time h(t) =224t-16t^2
a: what does (8768) mean in the context of the problem?
b: when will the rocket reach height of 528 ft?
c:when will the rocket reach ground?
D: when will the rocket reach its maximum height?
e: what is the maximum height of the rocket?
f: what is the domain and range for the SITUATION?
Click here to see answer by richwmiller(17219)

Question 864087: if a trinomial has a degree of 2, what is its name ?example (3x^2-4x+2)
Click here to see answer by ben720(159)

Question 864116: How do I solve?
x^2 + y^2 = 153. Where x = -4x
Click here to see answer by richwmiller(17219)

Question 864126: My homework is :1) X2-2x-13=0 and 2) X2+12x-64=0. I am do use six steps of 1) move constant term to right side of equation
2) multiply each term in the equation by 4 times the coefficient of the original x2 term.
3) Square the coefficient of the original x term and add it to both sides of the equation.
4) Take the square root of both sides
5) Set the left side of the equation equal to the positive square root of the number on the right side and solve for x.
6) Set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x.
Please show me how these two problems will look worked out and then I should be able to look at these to see how to do them. Thank you.
Click here to see answer by richwmiller(17219)

Question 864225: I really need help with this quadratic equation. I have a project and my teacher doesn't explain the information needed. The equation is: x^2-14x+24. I have to graph it and find the following: roots, y-intercept, axis of symetry, and vertex. I don't understand any of it. Please help!
Click here to see answer by ewatrrr(24785)

Question 864260: The width of a rectangular park is 5 m shorter than its length. If the area of the park is 300 m^2, find the length and the width.
Click here to see answer by Alan3354(69443)

Question 864283: The height of a soccer ball kicked from the ground follows a path h=- 16t^2+64t where t is the time in seconds. Find a) the maximum height of the soccer ball, b) the time it takes to reach the highest point, and c) the time the ball is in the air.
Click here to see answer by richwmiller(17219)

Question 864291: Draw a graph of the parabola y = x^2 + 4x + 1.Use -5 x 1 , to make your table of values.What is approximately the value of y when x= -1.5 ; 0.5?
Click here to see answer by richwmiller(17219)

Question 864440: X^2 + y^2 = 153
Y = -4x
Click here to see answer by Fombitz(32388)

Question 864226: I really need help with this quadratic equation. I have a project and my teacher doesn't explain the information needed. The equation is: x^2-14x+24. I have to graph it and find the following: roots, y-intercept, axis of symetry, and vertex. I don't understand any of it. Please help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 864441: 5(5-P)/3(P+1) how do I solve this
Click here to see answer by Fombitz(32388)

Question 864558: \The value of a machine depreciates according to the function f(x) = 20000 (1/2)^x, where x is the time in years from the purchase of the machine. Find its value after 3 years
Click here to see answer by checkley79(3341)

Question 864614: Given quadratic function:

Find the following:
Vertex:
Axis of symmetry:
Interval where function is increasing:
Interval where function is decreasing:
Determine maximum or minimum value:
Click here to see answer by stanbon(75887)

Question 864627: A model rocket is launched from the roof of a building. Its flight path is modeled by h equals minus 5 t squared plus 30 t plus 10 where h is the height of the rocket above the ground in meters and t is the time after the launch in seconds.
What is the rocket's maximum height?
How long before the rocket reaches the ground?
Click here to see answer by lwsshak3(11628)

Question 864709: 14-x/4=x/3
Click here to see answer by ewatrrr(24785)

Question 864713: Find the solution set for x� + 12x + 36 = 49
Click here to see answer by ewatrrr(24785)

Question 864843: The area of a rectangular room is 104 square feet. The length of the room is 5 feet longer than the width. Find the dimensions
Click here to see answer by josgarithmetic(39617)

Question 864843: The area of a rectangular room is 104 square feet. The length of the room is 5 feet longer than the width. Find the dimensions
Click here to see answer by MathTherapy(10552)

Question 864842: The length of a rectangle is 5 times the width. The area is 125 square centimeters. What is the length
Click here to see answer by josgarithmetic(39617)

Question 865010: A rectangle is 3 cm longer than it is wide. Find the dimensions of the rectangle if its area is 246 sq-cm.
I don't know where to start. Thank you for your help.
Click here to see answer by josgarithmetic(39617)

Question 865063: Find the number k for which the quadratic equation x^2+kx+k=0 has no real solutions. (Hint: use the quadratic formula to get a polynomial inequality in the variable k, which then you can solve.)
Steps to solve
Click here to see answer by josgarithmetic(39617)

Question 865133: you are designing a rectangular birthday card for a friend. you want the card's length to be 1 in. More than twice the card's width. The area of the card is 88 in^2.What are the dimensions of the card?
Click here to see answer by josgarithmetic(39617)

Question 865159: f(x)=2x^2-x+1
use the discrimant to determine whether the function has complex zeros
Click here to see answer by jim_thompson5910(35256)

Question 865160: g(x)=9-2x^2
use the discriminant to determine whether the function has complex zeros
Click here to see answer by richard1234(7193)

Question 865255: Multiply

Click here to see answer by ben720(159)

Question 865256: (2x+4) + (3x-5)
Click here to see answer by rfer(16322)

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, 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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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