Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 167077: When you are solving a quadratic formula does the order of your answers matter?
Click here to see answer by ptaylor(2048)

Question 167122: x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?
Click here to see answer by ankor@dixie-net.com(15652)

Question 167165: Find a value for k that will make 4x^2 + 6.4 x + k a perfect square. Describe the procedure that you used which requires algebra
Click here to see answer by ptaylor(2048)

Question 167166: if the reciprocal of a certain positive number is one less than twice that number, find the number
Click here to see answer by MRperkins(300)

Question 167203: x^2=4-8x
Click here to see answer by scott8148(6628)

Question 167206: 5x+3=23
Click here to see answer by paloma1120(3)

Question 167340: I am having trouble understanding and solving quadratic equations. x^2-2x-13=0
and 4x^2-4x+3=0
The steps I need to use are:
a. move the constant term to the right side of the equation
b. multiply each term in the equation by four times the coefficient of the x^2 term.
c. square the coefficient of the original x term and add it to both sides of the equation
d. Take the square root from both sides
e. Set the left side of the equation equal to the positive square root of the number on the right side and solve for x.
f. set the left side of the equation equal to the negative square root of the numberon the right side of the equation and solve for x
I have to solve these kind of questions on a test and I am lost. This is what I have so far: x^2-2x-13=0
x^2 -2x=13
4x^2-8x=52
Can you help me?
~Jenn

Click here to see answer by nerdybill(6959)

Question 167205: 5x/4 + 1/2=x-1/2
Click here to see answer by jojo14344(1512)

Question 167389: The profit on a watch is given by P=x^2-13x-80 and where x is the number of watches sold her day. How many watches were sold on a day when there was a $50 loss?
Click here to see answer by nerdybill(6959)

Question 167432: A rectangular swimming pool is surrounded by a walk. The area of the pool is 323 sq ft, and the outside dimensions of the walk are 20x22 ft. How wide is the walk?
I know this should be simple, but I'm struggling with it!
Thank you so much for your help, what ever kind person answers my question!
Lauren
Click here to see answer by scott8148(6628)

Question 167426: The annual yield per lemon tree is fairly constant at 320 pounds when the number of trees per acre is 50 or fewer. For each additional tree over 50, the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding. Find the number of trees that should be planted on an acre to produce the maximum yield. How many pounds is the maximum yield?

I understand the concept of max and min. What I can't get is the quadratic function.
Click here to see answer by ankor@dixie-net.com(15652)

Question 167476: I need to solve by completing the square.I'm not sure how to do 1 half of negative s. The problem is
Click here to see answer by jim_thompson5910(28595)

Question 167448: (3x+1)(x-1)= -3x
Click here to see answer by midwood_trail(310)

Question 167518: A firm can sell X units of a product at a price of P cents per unit, where P = 503 - X
The total costs of production is given by the function T(X) = 500 + 2X.
# Find the number of units to be sold to achieve maximum profit and find the maximum profit.
# What price per unit would the firm be charging at the maximum profit output level?
Click here to see answer by stanbon(57354)

Question 167546: Word problems inolving ratios and poportions, percen, etc..
50 is what pecent of 80?
x * 80/100 = 50
=> x = 500/8 = 62.5
82 of what number is 16?
x/100 * 82 = 16
=> x = 1600/82=800/41 = 19.51
Click here to see answer by sowmya(32)

Question 167550: Solve 3x ( x+3) = 2 (5x+1).
Click here to see answer by KnightOwlTutor(293)

Question 167548: Zarig took part in a 26 mile road race.
a. he ran the first 15 miles at an average speed of x mph. he ran the last 11 miles at an average speed of (x-2)mph. write down an expression,in terms of x, for the time he took to complete the 26 mile race?
b.zarig took 4 hours to complete the race. using your answer to part a, form an quation in terms of x.
c. i) simplify your equation and show that it can be written as
2x^2-17x+15=0
ii) solve the quation and obtain zarig's average speed over the first 15 miles of the race.

pls it would kind enough if you can help me put with this question?
Click here to see answer by stanbon(57354)

Question 167561: Solve. 6b4 – 18b3 – 60b2 = 0
Click here to see answer by sowmya(32)

Question 167560: The number of people infected after t days is P = 200 + 5t - t2. Find the number of days until the number of people infected is 176.
Click here to see answer by sowmya(32)

Question 167559: Solve ( x2 – 2x )( x + 3) = -2x ( x + 1)
Click here to see answer by sowmya(32)

Question 167558: I am thinking of three consecutive negative numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?
Click here to see answer by sowmya(32)

Question 167551: Solve ( x2 – 2x )( x + 3) = -2x ( x + 1)
Click here to see answer by Juhi(44)

Question 167716: solve (1)/(x-2)-(1)/(x+2)=5
Click here to see answer by jim_thompson5910(28595)

Question 167715: How would I complete the square for both x and y and find the equation of the circle for the given equation x^2-8x+y^2+4y-205=0. I also have the same question for the following equation x^2+12x+y^2-14y-204=0.
Click here to see answer by jim_thompson5910(28595)

Question 167757: 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 Alan3354(30993)

Question 167786: Solve using the square root property:
(x + 3)^2 = 49

Click here to see answer by jim_thompson5910(28595)

Question 167788: Solve using the quadratic formula:
x^2 – 2x = 15x – 10

Click here to see answer by jim_thompson5910(28595)

Question 167789: Solve using the quadratic formula:
x^2 – 3x – 3 = 5

Click here to see answer by jim_thompson5910(28595)

Question 167791: (a) 3x^2 - 10x - 8 = 0
Click here to see answer by jim_thompson5910(28595)

Question 167781: Please can you give me a real world example of a quadratic function? Please.
Click here to see answer by stanbon(57354)

Question 167802: Solve the following equation:
(x + 4) (x + 3) = 6
Click here to see answer by nerdybill(6959)

Question 167802: Solve the following equation:
(x + 4) (x + 3) = 6
Click here to see answer by padmameesala(42)

Question 167809: Factor 9b3 – 6b2
Click here to see answer by padmameesala(42)

Question 167810: Factor completely 16x4 – 40x2 + 9
Click here to see answer by padmameesala(42)

Question 167807: Solve 2x ( x + 3 ) = x + 25
Click here to see answer by KnightOwlTutor(293)

Question 167806: Hi thanks a lot for offering to help this is great.
The question gives me a rectangle with a height of 2x-1 and a width (base) of 3x-1. The question also says the length of a diagonal in the rectangle is the square root of 5. Calculate the area of the rectangle.
Thanks again
Click here to see answer by KnightOwlTutor(293)

Question 167808: Factor 15 + 3y – 5x2 – x2y
Click here to see answer by nerdybill(6959)

Question 168097: A square mat has a uniform red border on all four sides. The rest of the mat is blue. The width of the blue square is three-fourths the width of the entire square. If the area colored red is 28 m squared, determine the lengths of each side of the mat.
I have tried W^2 - 3/4W^2 = 28
Also W^2 - (W-1/4)^2=28
Mainly need help on setting up. I am alright after the problem is set up into a math problem rather than a word problem.
Thanks
Click here to see answer by ptaylor(2048)

Question 168149: This one has been answered but the answer does not make sense. I emailed the tutor and have not heard back. Will someone please take a look at this for me?
Thanks
A square mat has a uniform red border on all four sides. The rest of the mat is blue. The width of the blue square is three-fourths the width of the entire square. If the area colored red is 28 m squared, determine the lengths of each side of the mat.
Click here to see answer by gonzo(654)

Question 168162: 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 gonzo(654)

Question 168200: Dear sir/ma'am,
I have a question regarding how to solve Quad. Equations.
My brother has homework, and he has been asked to solve a mixed bunch of quad. equations using either factoring, finding the square roots, or using the quadradic formula.
My question is, how do you know which method to use for each problem? Is there a certain way the equation is set up that indicates what type is most proper?
Thank you!
Click here to see answer by edjones(7569)

Question 168317: 5t^2 – 10t = 0
Click here to see answer by Alan3354(30993)

Question 168430: I am trying to solve y=x2-6x. so far column x is 0 1 2 3 4 column y is 0 -5 -8 a=1 b=-6 c=0. At school I understood where to get these #s now im lost. not sure how i need to do this
Click here to see answer by KnightOwlTutor(293)

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