Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE) Get help from our free tutors ===> Algebra.Com stats: 2016 tutors, 419945 problems solved View all solved problems on Quadratic_Equations -- maybe yours has been solved already! Become a registered tutor (FREE) to answer students' questions. Click here to see problems AND answers on one page Question 141057: The sum of the base and height of a triangle is 25 cm. What is the maximum area of the triangle? Click here to see answer by ankor@dixie-net.com(15660)   Question 141092: i am a two-digit number. the sum of my digits is 9. i am an even number. the difference in my digits is 9 what am i? Click here to see answer by stanbon(57387)   Question 141112: I, seem to be having some confuse here I need to calculate the of the discriminant of part(a) x^2+4x+4. Then by examining the sign of the discriminant in part(a) how many x-intercepts would the graph of y=x^2+4x+4 have? and Why? Click here to see answer by edjones(7569)   Question 141122: For 5x^2+3x-2 do the following -graphing (both in vertex form and in standard form) -factoring/pp -completing the square/square roots -quadratic formula. Click here to see answer by edjones(7569)   Question 141135: A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by what value? Click here to see answer by edjones(7569)   Question 141195: What kind of function is this: f(x)-x^2/3 + x^1/3 + 1 a. It's a cubic equation b. It's a quadratic equation c. Both of the above d. None of the above Click here to see answer by stanbon(57387)   Question 141179: please help. find the roots of the quadratic x^2-4x-6=0 by using the quadratic equation x= -b+ (with small dash under the plus sign) sqrt(b^2-4ac) / 2a epress in simplest form ...Thank you very much. Click here to see answer by jim_thompson5910(28598)   Question 141198: How many solutions are possible in: a. b. c. d. Click here to see answer by Edwin McCravy(8909)   Question 141199: i really need help with finding a answer to my quadratic equation project. is there any way you can help me out? Click here to see answer by solver91311(16897)   Question 141204: When factoring the following by the reverse FOIL method, the factors of 6 must add up to what value? I have no clue as to where to begin. f(x) = x^2 + 5x + 6 a. 1 b. 1+6+5=12 c. 6 d. 5 Click here to see answer by nabla(475)   Question 141205: Hi, I have two problems I am not sure about. I hope some one can help me please. Solve using the quadratic formula: x2 – 3x = -6x – 1 Solve using the quadratic formula: x2 – 10x – 1 = -10 Thank you so very much for useing your free time to help me.I am very grateful. Click here to see answer by vleith(2825)   Question 141248: If the circle with centre(0,m) has equation x^2+y^2+6y+5=0, what is the value of m? Click here to see answer by stanbon(57387)   Question 141251: If the point(3,-2) lies on the circle defined by x^2+y^2+mx-4y-3=0, what is the value of m??? Click here to see answer by stanbon(57387)   Question 141277: Decide if the lines are parallel, perpendicular, or neither. 5x + 3y = 7 3x + 5y = 3 Help me again please. Click here to see answer by stanbon(57387)   Question 141281: Graph the system of inequalities. y >_ -4 x >_ 5 OK Do i just put a dot on the y line at -4, and a 5 on the x line on the graph? The _ is supposed to be below the > Click here to see answer by stanbon(57387)   Question 141283: Solve using the addition and multiplication principles. 7 + 7x < 21 Can someone help with this please I am soooo baffled. Click here to see answer by frizz2freak4me(2)   Question 141286: Use the intercept to graph the equation. x + 2y = 4 How do I do this, I forgot already, I am so glad you are here for me. Thank you! Click here to see answer by jim_thompson5910(28598)   Question 141275: Find the slope and the y-intercept. f(x)= -2x - 5 Help please Click here to see answer by MathTutorer(13)   Question 141309: Which method is best used to find the solutions to: k(w) = -w^2 + 4 a. Using the square root property b. Completing the square c. Using the quadratic formula d. This cannot be solved since the variable is not 'x' I selected D; because a,b,c all require a 'x' variable Click here to see answer by vleith(2825)   Question 141322: Solve for x: sqrt x-6 + sqrt x+6 = 6 a. 3 b. 16 c. 10 d. Cannot be solved This is what I have but it is not an answer. sqrt x-6 = sqrt x+6 +6 (sqrt x-6)^2 = (sqrt x+6+6)^2 (sqrt x+6)^2 + 2 * sqrt x+6*6+6^2 x+6 + 2 sqrt x+6 + 6 + 36 (sqrt x-6)^2 = (sqrt x+6+6)^2 x-6 = x + 6 + 2sqrt x+6+36 x-6 + x + 42 + 2sqrt x+6 2x - 6 = 2sqrt x+6 4x^2 + 36x - 36 + 4 (x+6) 4x^2 + 36x - 36 = 4x + 24 4x^2 - 32x = 0 4x(x - 8x) = 0 4x = 0 and x - 8 = 0 x = 0 x = 8 Click here to see answer by oscargut(891)   Question 141322: Solve for x: sqrt x-6 + sqrt x+6 = 6 a. 3 b. 16 c. 10 d. Cannot be solved This is what I have but it is not an answer. sqrt x-6 = sqrt x+6 +6 (sqrt x-6)^2 = (sqrt x+6+6)^2 (sqrt x+6)^2 + 2 * sqrt x+6*6+6^2 x+6 + 2 sqrt x+6 + 6 + 36 (sqrt x-6)^2 = (sqrt x+6+6)^2 x-6 = x + 6 + 2sqrt x+6+36 x-6 + x + 42 + 2sqrt x+6 2x - 6 = 2sqrt x+6 4x^2 + 36x - 36 + 4 (x+6) 4x^2 + 36x - 36 = 4x + 24 4x^2 - 32x = 0 4x(x - 8x) = 0 4x = 0 and x - 8 = 0 x = 0 x = 8 Click here to see answer by stanbon(57387)   Question 141308: Which method is best used to find the solutions to: k(w) = -w^2 + 4 a. Using the square root property b. Completing the square c. Using the quadratic formula d. This cannot be solved since the variable is not 'x' I selected D; because a,b,c all require a 'x' variable Click here to see answer by scott8148(6628)   Question 141273: write the equation of the asix of symmetry, and find the coordinates of the vertex of the graph of each function. Identify the vertex as a maximum or minimum. Then graph the function. Click here to see answer by solver91311(16897)   Question 141346: 2x^2 - 3xy +y^2 =14 2x - y = 7 Please help having hard time solving this one. Thank you Click here to see answer by nabla(475)   Question 141391: Use the distributiive law to help solve. 6(w-2)= -12 I do not understnad the distributive law what is it. Click here to see answer by checkley77(12569)   Question 141405: Solve 0.4x + 3 <_ 1.2x -6 the solution is {x l x ? ?} Can someone help me with this one please?? Click here to see answer by stanbon(57387)   Question 141381: Solve -0.4x < -24 How do i do this one??? Click here to see answer by checkley77(12569)   Question 141481: please help.write the equation of the line line y(2,11) line z(-1,-1) hope you understand this.Thanks for the help. Click here to see answer by stanbon(57387)   Question 141484: please help. suppose a bag contains 6 marbles.one is white,two are red,and three are yellow.each time a marble is taken out,it is replaced.find P (red and yellow) thanks in advance for the help. Click here to see answer by stanbon(57387)   Question 141485: help!! a rectangle has a length 4 cm greater than it's width.it's area is 45 cm^2.what are the length and width of the rectangle. thanks for helping. Click here to see answer by ankor@dixie-net.com(15660)   Question 141505: What is the maximum value of q(x) = (x-4)^2 - 13? a. -4 b. 4 c. -13 d. There is no maximum value Click here to see answer by checkley77(12569)   Question 141572: A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area of the print. If the print measures 40 cm by 60 cm, how wide should the matte be? Click here to see answer by edjones(7569)   Question 141577: Raj and his sister cut the lawn. The lawn is a square and Raj says he will cut a path around the outside 3m wide. His sister will cut the remaining lawn. If the part he cuts is the same area as the part she cuts, what are the dimensions of the lawn? Click here to see answer by scott8148(6628)   Question 141577: Raj and his sister cut the lawn. The lawn is a square and Raj says he will cut a path around the outside 3m wide. His sister will cut the remaining lawn. If the part he cuts is the same area as the part she cuts, what are the dimensions of the lawn? Click here to see answer by edjones(7569)   Question 141590: A 60cm length of rope is to be cut into two pieces to form the perimeters of two squares. If the total area of the two squares is to be a minimum, what are the dimensions of the squares? Click here to see answer by edjones(7569)   Question 141566: The width of a rectangle is 4 cm less than the length. The area is 350cm^2. Find the length and width. Click here to see answer by jojo14344(1512)   Question 141673: A model rocket is shot straight up from the roof of a school. The height at any time t is approximated by the model H=15 + 23t - 5t^2,where H is the height in metres and t is the time in seconds. a)how long does it take for the rocket to pass a window 10 m above the ground. b) when does the rocket hit the ground? c) what is the maximum height the rocket reaches above the roof of the school? Click here to see answer by stanbon(57387)   Question 141698: Sorry the question wasnt done yet...Find the indicated outputs for f(x)= 2x2 - 5x (The second 2 is too the power of)(one of those little 2's above the number) f(0)= f(-1)= f(2)= HELP PLEASE!!!!! Click here to see answer by stanbon(57387)   Question 141699: Trains A and B are travelling at the same direction on paralell tracks. Train A is travelling at 40 miles per hour and Train B is travelling at 60 miles per hour. Train A passes a station at 3:25 AM. If train B passes the same station at 3:37AM. At what time will train B catch up with train A?? How do I figure this one out?? Click here to see answer by stanbon(57387)   Question 141713: Graph on a number line where x is a real number. Will someone please help me with this one???? Click here to see answer by stanbon(57387)   Question 141713: Graph on a number line where x is a real number. Will someone please help me with this one???? Click here to see answer by Edwin McCravy(8909)   Question 141576: A model rocket is shot straight up from the roof of a school. The height at any time t is approximated by the model H = 15 + 23t -5t squared, where H is the height in metres and t is the time in seconds. a) How long does it take for the rocket to pass a window 10 m above the ground? b) When does the rocket hit the ground? c)What is the max height the rocket reaches above the roof of the school? Click here to see answer by ankor@dixie-net.com(15660)   Question 141711: Solve using the multiplication method.Please also do a check. -1/6x = -9/10 these are fractions and i do not no what i am doing.Help me please. Click here to see answer by stanbon(57387)   Question 141701: Solve by the elimination method. 7r - 5s =-18 5r + 7s = 40 Help me please. This is getting sooooo much harder and I am grasping none of it.This is terrible!!! Click here to see answer by scott8148(6628)   Question 141840: Hi I need help in understanding one of the steps in "completing the square" for a quadratic equation.Here is my problem x^2+9x+8=0 IN the 2ND step my homework tells me that I have to multiply the equation by A, whatever value it has.Now everytime they show a model there is a different value for "A" everytime.How do I find the value of "A" for my own homework equations.Here is one of my models from my school... Solve x^2 + 7x + 12 = 0 by completing the square. 1. Write the quadratic equation in general for and identify A and B. A is 1 and B is 7. 2. Multiply the terms of the equation by 4A. 4A is 4: 4[x^2 + 7x + 12]= 4[0] 4x^2 + 28x + 48 = 0 3.Isolate the constant term on the right side of the equation. 4x^2 + 28x = -48 4.Add B^2 to each side of the equation. B^2 is 49: [4x^2 + 28x] +49 = [-48]+49 4x^2 + 28x + 49 = 1 5.Factor the left side of the equation to the square of a binomial. (2x + 7)(2x + 7) = 1 (2x + 7)^2 = 1 Now solve: 1^2 is 1, so (-1)^2 is 1, so 2x + 7 = 1 2x + 7 = -1 2x = -6 2x = -8 x = -3 x = -4 The solution set is {-4, -3}. What I dont understand is step 2 how did they decide to multiply the equation by 4? Why dont they use any other number like 2 or 6? I hope I gave you enough information.Thanks for your help... Click here to see answer by nabla(475)

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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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