Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 632318: Solve for x. 2(x-4)-(x+2)=(x+2)(x-4)
Click here to see answer by mananth(12270)

Question 632408: I am having a very difficult time with quadratic equations. Can someone please help me with this question? It is greatly appreciated!
What does the final term in the quadratic equation x2 + 2x - 7 mean, and how do we find this term on the graph?
Click here to see answer by solver91311(17077)

Question 632503: s^2=3 +s(1-4s)
solve the given quadratic equation , using the quadratic formula?
Click here to see answer by richwmiller(9144)

Question 632509: 3x^2-3x-2=0
Click here to see answer by stanbon(57967)

Question 632509: 3x^2-3x-2=0
Click here to see answer by richwmiller(9144)

Question 632507: find such that y=x^2-16x+c has exactly one real root
Click here to see answer by stanbon(57967)

Question 632502: Ok here is the equation 2(x-4)-(x+2)=(x+2)(x-4)
I am supposed to solve for x since none of the other equations work I am to put it into ax^2+bx+c=0 form. My question is how does it go from 2(x-4)-(x+2)=(x+2)(x-4) to x^2-3x+2=0? I know the rest of the problem this is the only part I am having difficulty understanding.
Click here to see answer by richwmiller(9144)

Question 632707: Can you compute the discriminant of the equation x^2+12x+36=0
Click here to see answer by jim_thompson5910(28715)

Question 632702: Please help me solve the quadratic equation 3x^2+19x-14=0 using the quadratic formula.
Click here to see answer by jim_thompson5910(28715)

Question 632712: Without solving the equation (or factoring) determine the solution to the equation x^-6x=0 by using only the graph. Can you help me? Thanks
Does it have a maximum or minimum
What are the coordinates of the vertex in (x,y) form
What is the equation of the axis of symmetry for this parabola
Click here to see answer by Alan3354(31518)

Question 632734: Please help me to compute the discriminant and determine the number and type of solution for the equation 8x^-9x+2=0. What is the discriminant
Click here to see answer by reviewermath(604)

Question 632782: Can someone please help me wih this problem because I am so confused. Ineed to now how to find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function also. Please help me and thanks so much in advance.
f(x)=(1/4)(x+8)^2+8
Click here to see answer by reviewermath(604)

Question 632856: Solve:
Square Root of (x+3) = 2x
only (x+3) is under the Square Root
Thank you for your help!
Click here to see answer by MathTherapy(1483)

Question 632875: can you help me solve this, please.
9/2+5/2y=2y-2
Click here to see answer by ankor@dixie-net.com(15746)

Question 633000: Solve the equation: x-4=5/x
Click here to see answer by Maths68(1474)

Question 632863: Proove: (x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2
Click here to see answer by richard1234(5390)

Question 633082: I am to find the vertex, the line of symmetry, as well as the maximum or minumum value of f(x). Graph the function.
I am sorry but I just am not comprehending how to do this. I have looked at problems in the book, on here and as sad as it sounds I just am comprehending it. Please help me
f(x)= -(x+1)^2-9
Click here to see answer by reviewermath(604)

Question 633130: Find a quadratic equation with integral coefficients having the given roots
i√5, -i√5
Please show me all steps so that I can do this myself. Thank you in advance

Click here to see answer by reviewermath(604)

Question 633140: If X= 6+8+12
Y= 9+13+7
So what is the value of X square Y square.

Click here to see answer by ewatrrr(10682)

Question 633141: Jarrod is having a problem with rabbits getting into his vegetable garden so he decideds to fence it in. The length of the garden is 9 feet more than 6 times the width. He needs 74 feet of fencing to do the job.
What is the length of the garden?
Click here to see answer by ewatrrr(10682)

Question 633145: I don not understand this question at all!
1.Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x=1 is the day tickets go on sale).
tickets=-0.1x^2+12x+11
1a.Does the graph of this equation open up or down? How did you determine this?
1b.Describe what happens to the tickets sales as time passes.
1c.Use the quadratic equation to determine the last day that tickets will be sold.
1d.Will tickets peak or be at a low during the middle of the sale? How do you know?
1e.After how many days will the peak or low occur?
1f.How many tickets will be sold on the day when the peak or low occurs?
1g.What is the point of the vertex? How does this number relate to your answers in parts e. and f?
1h.How many solutions are there to the equation ? How do you know?
1i.What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by ewatrrr(10682)

Question 633172: Good day! Sorry I posted my question under the "quadratic equations" category, this one is actually a physics question so I am posting it again, here it goes:
A woman on the ground sees an airplane climbing at an angle of 35 degrees above the horizontal. She gets into her car and by driving at 70 miles/hour is able to stay directly below the airplane. What is the airplane's speed?
Click here to see answer by josmiceli(9817)

Question 633166: solve 2y^2=6y-20 by completing the square
Click here to see answer by ewatrrr(10682)

Question 633176: A pleasant day to the dear tutors, please help me with this question:
A cabinet is pulled across a cemented floor with a rope that makes an angle of 35 degrees with the floor. What is the component of the force parallel to the floor if a 90 Newton force is exerted?
Thank you so much!
Click here to see answer by solver91311(17077)

Question 633220: A carpenter is building a rectangular room with a fixed perimeter of 340 ft. what dimensions would yield the maximum area? what is the maximum area?
The length that would yield the maximum area is_____ft.
Click here to see answer by solver91311(17077)

Question 633161: What should be added to both sides of the given equation to complete the square?
x^2-5x=4.
Click here to see answer by ewatrrr(10682)

Question 633202: A small leak will fill an empty boat in 5 hours. The boat's bilge pump will empty a full boat in 3 hours. If the boat were half full and leaking, how long would it take the pump to empty the boat?
Click here to see answer by stanbon(57967)

Question 633297: write a quadratic equation in standard form having the given solutions 4i,-4i
Click here to see answer by ankor@dixie-net.com(15746)

Question 633321: I think this is using the pythagorean theorem and I get really confused...
A mason wants to be sure he has a right angle corner of a building's foundation. He marks a point 3 ft from the corner along one wall and another point 4ft from the corner along the other wall. If the corner is a right angle, what should the distance be between the two marked points??
I did the a^2 + b^2 = c^2 formula and plugged in 3^2 + b^2 = 4^2 and got an -7 as an answer. I know a negative # can't be it so that's where I need assistance. Thanks in advance.
Click here to see answer by stanbon(57967)

Question 633337: Please shed some light on finding the solution.
If Emily hits a golf ball from the upper deck of a driving range (twelve feet above the ground) with an initial velocitynof 117 feet per second, after how many seconds should the ball land (assume her ball does not encounter any obstacles)? Round to the nearest tenth.
Click here to see answer by Alan3354(31518)

Question 633223: Aki's bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by c(x)=0.2x²-1.3x+8.181, where c(x) is in hundreds of dollars.
The shop should build_____bicycles.
Click here to see answer by KMST(1936)

Question 633339: Please shed some light on finding the solution.
If Emily hits a golf ball from the upper deck of a driving range (twelve feet above the ground) with an initial velocity of 117 feet per second, after how many seconds should the ball land (assume her ball does not encounter any obstacles)? Round to the nearest tenth.
Click here to see answer by jsmallt9(3296)

Question 633226: 4x^2-4sq.root3x+3=0
sq.root2x^2-3x+sq.root2=0
Click here to see answer by KMST(1936)

Question 633253: there were studied the effects on the rats fed on a diet that contains 10 % of protein. The protein was consisting in of yeast and cornflour. changing the percentage P of yeast in the miscellany of the above mentioned protein, it was estimated that the weight gained (in grams) of a rat in a period of time, it was f (p), where:

F (p) = - 1/50 P^2 + 2P+ 20... 0 ≤ P≤ 100. Find the máximum- weight.

Click here to see answer by jsmallt9(3296)

Question 633467: solve
16x^4+47x^2=3

Click here to see answer by dfrazzetto(277)

Question 633466: sketch graph of quadratic function
f(x)=x^2-2x-3

Click here to see answer by stanbon(57967)

Question 633466: sketch graph of quadratic function
f(x)=x^2-2x-3

Click here to see answer by richwmiller(9144)

Question 633466: sketch graph of quadratic function
f(x)=x^2-2x-3

Click here to see answer by ewatrrr(10682)

Question 633475: In two hpurs, a motorboat can travel 8 miles down a river and return 4 miles back. If the river flows at a rate of 2 mph, what is the rate of the boat in still water?
Click here to see answer by ankor@dixie-net.com(15746)

Question 633522: Joan Arlington has twice as much money invested at 5% simple annual interest as she does at 4%. If her yearly income from the two investments is $252, how much does she have at each rate?
Click here to see answer by richwmiller(9144)

Question 633631: Equations of quadratic form
4x to the 4th power-10xsquare plus 9=0 I'm not sure whata numbers to factor

Click here to see answer by stanbon(57967)

Question 633640: I need help with a few problems that I have been working on but I can't seem to get exactly what it is I need, which is understanding how to work these problems and show my work. Please and thank you for any help you can offerme at this time.

Problem # 1: In this problem it asks to find the vertex, the line symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=1/3(x+6)^2+4.
Problem # 2: Find the variation constant and equation of variation where y varies directly as x and y=12 when x=2.
Problem #3: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. sq rt u-sq rt /sq rt u+sq rt v
Problem #4: Convert to decimal notation. 8.91*10^7
Problem #5: In a right triangle, find the length of the side not given. b=1, c=sq rt 10. The third length of the third side is?

Click here to see answer by Alan3354(31518)

Question 633665: two hundred eighty meters of fencing is
Click here to see answer by richwmiller(9144)

Question 633736: Solve
X^2-6x+7=0
Click here to see answer by ewatrrr(10682)

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