Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 196866: Please help me solve this equation: 4x^2+6x-6=2
It is called completing the square and has to do with solving quadratic equations.
Click here to see answer by jim_thompson5910(28715)

Question 196865: Please help me solve this equation: 5x^2-20x-20=5
It is called completing the square and has to do with solving quadratic equations.
Click here to see answer by jim_thompson5910(28715)

Question 196864: Please help me solve this equation: x^2+3/5x-1=0
It is called completing the square and has to do with solving quadratic equations.
Click here to see answer by jim_thompson5910(28715)

Question 196904: Solve by factoring: x^2-9x=-20
Click here to see answer by Mathtut(3670)

Question 196901: solve this please: x^2+5x-5=0. I'm stuck.
Click here to see answer by Mathtut(3670)

Question 196902: Solve using the square root property:
(x + 8)^2 = 81
or (x+8) squared =81
Click here to see answer by Mathtut(3670)

Question 196910: t62-7t+5=0 have to show whether quadric equation has 0,1,2 in real roots and if its is irrarational or rational
6t^2 - 7t + 5 = 0
t = (-(-7) + (49-4x6x5)^1/2)/12
or
t = (-(-7) - (49-4x6x5)^1/2)/12
quadratic equation have 2 irrational roots
(7+ root(71)i)/12
and
(7- root(71)i)/12

Click here to see answer by mathsteacher(28)

Question 196131: This is from Activity Bank, INTEGRATED MATHEMATICS 1 Copyright by Houghton Mifflin Company.
The world's largest industrial building is located in Hong Kong. The distance between two opposite corners in the building is about 1320 ft. The length is about 55 ft. greater than the width. What are the length and the width of the building?
Click here to see answer by edjones(7569)

Question 196896: I have a few problems I'm struggling with:
1: x^2 - 3x = -10 (directions say use quadratic formula, use radicals as needed).
2: (x+12)(x-8)(x+8)>0 (directions say to use one equality or compount equality)
3: 2x^2 - 5x +1 (evaluate polynomial for x= -4
4: (9x^8 - 3)(x^9 - 3) (use FOIL to find product)
I thank you in advance for time spent in helping with these problems
Click here to see answer by jim_thompson5910(28715)

Question 196949: A retangular field is to be enclosed by 500m of fence. What dimensions will give the maximum area? What is the maximum area?
Solution:
Let the length of rectangle = x
So the width will be, w
perimeter =
or x+w=250
or w=250-x

So the area,A(x) =
A(x)=
Area is maximum at the vertex if the parabola
made by the equation, A(x)=
vertex=[(-b/2a),A(-b/2a)]
-b/2a = = 125
A(250) = = 15625
So Length,x =125m
Width = 250-125 = 125m
Maximum area =

Click here to see answer by mathsteacher(28)

Question 196953: find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function.

Axis of symmetry is given by
for a function,
So
x=-6 is the axis of symmetry.
x coordinate of vertex is
y coordinate of vertex is
So vertex = (-6,-45)
Click here to see answer by mathsteacher(28)

Question 196948: A farmer wants to make a retangular corral along the side of a large barn and has enough materials for 60m of fencing. Only three sides must be fenced, since the barn wall will form the fourth side. What width of rectangle should the farmer use so that the maximum area is enclosed? Use "let statements"
Click here to see answer by ankor@dixie-net.com(15746)

Question 196950: Determine the maximum area of a triangle, in square centimeters, if the sum of its base and its height is 10cm. Be sure to include"let statements"
let the base = x
so height = 10-x

x coordinate of Vertex of the parabola =
y coordinate of Vertex of the parabola =
So max. area is
Click here to see answer by mathsteacher(28)

Question 196947: A retangular field is to be enclosed by 500m of fence. What dimensions will give the maximum area? What is the maximum area? Be sure to use "let statements"
Click here to see answer by solver91311(17077)

Question 197013: please help me how to do this, y2+2y-8=0
Click here to see answer by Earlsdon(6294)

Question 197024: thank you in advance for any help with these:
1. 15x^4 - 11x^2 + 2 = 0 use radical as needed
2. x^2 + 6x - 4 = 0 simply, use radical if needed
3. 4x(x - 1)- 5x(x)= 3 solve for x
4. 8x^2 - 6x - 2 = 0 state value of discriminant; one or two real soulution? or two imaginary solution?
thank you for any help you can provide...
Click here to see answer by stanbon(57967)

Question 196967: A club usually sells 1200 shirts a year at $20 each. A survey indicates that for every $2 increase in price, there will be a drop of 60 sales a year. What price they should charge for each shirt to maximize the revenue?
Click here to see answer by ankor@dixie-net.com(15746)

Question 197143: identify the substitution that you should make to change 2y^2/3-5y^1/3-12=0 to standard quadractic form.
Click here to see answer by Alan3354(31519)

Question 197150: How would you do this problem...2x^2+5x+3=0?
Click here to see answer by solver91311(17077)

Question 197150: How would you do this problem...2x^2+5x+3=0?
Click here to see answer by edjones(7569)

Question 197201: I'm not sure if this is the right category, but I'd really appreciate your help on this multiple choice question: " If 2+i and 2-i are the roots of the equation x^2 -4x +c= 0, what is the value of c?"
a) -5 b) 5 c) -4 d)4
Thanks!

Click here to see answer by stanbon(57967)

Question 197245: Hello, I have to provide a real life example of quadratic function. I have no idea where to start. Can you help me with some ideas and formulas for the everyday use of quadratic function? Thank you.
Click here to see answer by Edwin McCravy(8999)

Question 197246: question: y= 3 x^2 + x + 1
we need: axis of symmetry, coordinates of the vertex of the graph, and the graph.
but if you give me the coordinates i'll be happy.
STEP by STEP please

thanks.
Click here to see answer by solver91311(17077)

Question 197254: Quadratic equation: x^2-12=0
Click here to see answer by jim_thompson5910(28715)

Question 197253: can you help me with these problems?? thank you so much
1.)
2.)
3.)
4.)
Click here to see answer by jim_thompson5910(28715)

Question 197253: can you help me with these problems?? thank you so much
1.)
2.)
3.)
4.)
Click here to see answer by solver91311(17077)

Question 197272: find the axis of symetry and the vertex of the graph of the function. Y=2xsquared-8x+6
Click here to see answer by solver91311(17077)

Question 197023: Quadratic Functions Word Problem
2. Find two numbers whose difference is 14 and whose product is a minimum. use "Let Statement". Thank you!!!
Click here to see answer by Alan3354(31519)

Question 196945: Find two numbers whose difference is 14 and whose product is a minimum. Be sure to use "let statement".
Click here to see answer by josmiceli(9817)

Question 197089: How do you find the equivalent factored form of a quadratic expression?
1. 2x^2+3x+1
2. 3x^2-x-4
3. x^2-9
4. n^2-4
Click here to see answer by stanbon(57967)

Question 197313: Having troubles with these word problems,
1. If the sides of a square are lenghtend by 5cm, the area becomes 121cm. What is the lenght?
2. If a pro basketball player has a vertical leap of about 30 inches, what is his hang time? formula is V = 48T^2
3. Jack mows the lawn in 5 hours, Marilyn in 7 hours. How much time will it take if they mow lawn together?
Thank you in advance for your help...
Click here to see answer by ankor@dixie-net.com(15746)

Question 197346: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by Edwin McCravy(8999)

Question 197330: Find b^2 - 4ac and the number of real solutions to
equation
-2x^(2)+5x-6=0
Click here to see answer by jim_thompson5910(28715)

Question 197325: 8=sqrt(x)sqrt(x)sqrt(x)sqrt(x...), find the value of x.
Click here to see answer by RAY100(1637)

Question 197385: How do I solve this equation?

Click here to see answer by Alan3354(31519)

Question 197385: How do I solve this equation?

Click here to see answer by RAY100(1637)

Question 197444: Hi!
Can you help me with changing an equation 52=4x-4y into ax+by=c? I am very confused!
Thanks in advance!
Lynne
Click here to see answer by jim_thompson5910(28715)

Question 197469: Can someone help me with this problem: x^2 + 3/2x = 3
Click here to see answer by josmiceli(9817)

Question 197533: How do I graph y=-x squared?

Click here to see answer by vleith(2825)

Question 197604: What is the vertex of the parabola: y= -2x^2+2x+4? When i solved it, i got the vertex as (-2,0) but all the online calculators say the vertex is (.5,4.5). Why is this? can you explain how to find the vertex?
Click here to see answer by stanbon(57967)

Question 197570: x=(1/20)(y-1)^2+2
what is the vertex,focus,wat direction is opens,axis of symmetry and directrix
Click here to see answer by stanbon(57967)

Question 197703: How can you identify the proper way to follow for the equation?
out of these ways:
1. Square roots - when x^2 is present, when x^2 and x is present
2. graphing
3. factoring
4. quadratic formula
I understand graphing and square roots (somewhat), but when would you use factoring and the quadratic formula? what is the quadratic formula? Can you list the steps of how to do the factoring and quadratic formula? Can you use measures of central tendancy (mean,median,mode) in quadratic functions? Do you have to find the GCF for all of the problems? Would you be able to provide an example problem for when you would factor, and another for when you would use quadratic formula, please?
I am sorry this is so many questions, when you reply can you either do so in complete sentences or with my message above the answers, please?
Thanks, I hope this will help.

Click here to see answer by jim_thompson5910(28715)

Question 197839: Please help me with this multiple choice question:

Which quadratic equation has the roots 3+i and 3-i?

a) x^2 + 6x-10 = 0 b) x^2 + 6x + 8= 0 c) x^2 - 6x+10 = 0 d) x^2- 6x-8 =0
thank you!
Click here to see answer by edjones(7569)

Question 197844: 9. Write a quadratic equation in factored form for each situation.
a) The roots of the equation are 5 and 4.
b) The roots of the equation are -2 and 3.
Thanks
Click here to see answer by Mathtut(3670)

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