Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 161327: I need help please!!! I can't figure this out at all.
While finding the amount of seed to plant his three suare wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
Click here to see answer by nerdybill(7384)

Question 161227: Factor a squared minus ab minus 20b squared.
Click here to see answer by ankor@dixie-net.com(22740)

Question 161413: Please help. My worksheet says: Find the exact solutions to 6x^2+x+4=0 by using the Quadratic Formula.
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 161436: Can you please help me with this equation?
3x^2 = 2x+5

So far I got:
3x^2= 2x+5
-3x^2 -3x^2
-3x^2 +2x+5=0
X=-(2) � (sqr of 2^2 - 4(-3)(5) ) / 2(-3)
X= -2 � (sqr of 4- -60) / -6
X= -2 � (sqr of 64) / -6
X= -2 � (sqr of 8 )/ -6
X= -2 � 2 (sqr of 2) /-6
I am unsure what to do after this, if anything at all. Can u show me step by step what to do and explain where I went wrong? I think I'm on the right track but it got tricky with the -6. Thank you so much for even considering my request.
Click here to see answer by checkley77(12844)

Question 161468: 9s-5g=-4u,for s. This is solving equations and formulas. Trying to help son and don't understand.
Click here to see answer by nerdybill(7384)

Question 161461: I don't have any idea how to do these word problems. I've been trying but I just don't get it. Can you please help me? I can never understand word problems.
1) The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How longwill it take to fall 2304 feet?

2) 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?

If you can help I'd really appreciate it. Thank you so much! I could not do this without you.
Click here to see answer by KnightOwlTutor(293)

Question 161416: The width of a rectangular gate is 2 meters
(m) larger than its height. The diagonal brace measures
sq root6 m. Find the width and height.
Click here to see answer by checkley77(12844)

Question 161464: A worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)= -16t^2-32t+128 .
a. What is the height of the wrench after one second?
b. How long does it take the wrench to reach the ground?
Thanks for the help.

Click here to see answer by ankor@dixie-net.com(22740)

Question 161498: Can you help me please,
Find all values of u satisfying the equation
7/u-1 =-6 + 2/u+2
.
(If there is more than one solution, separate them with commas

Click here to see answer by checkley77(12844)

Question 161519: My worksheet syas: Write a quadratic equation with -3/4 and 4 as its roots. Write the equation in form ax^2+bx+c=0, where a,b and c are integers.
I must show my work.
Thanks.
Click here to see answer by scott8148(6628)

Question 160586: Find theta to four significant digits for 0< or= to 2pi.
54) cos theta=-0.9135
56) sin theta=-0.0436
58) cot theta= 1.860
60) csc theta= 3.940
Click here to see answer by Alan3354(69443)

Question 161521: What is a way that we can tell how many solutions we will have by something from the quadratic formula?
Click here to see answer by Alan3354(69443)

Question 161645: 3L+Y=5+5L,for L
Click here to see answer by checkley77(12844)

Question 161637: 1/2(6-z)=z
Click here to see answer by checkley77(12844)

Question 161746: {2x^5}^0
Click here to see answer by Fombitz(32388)

Question 161830: Find the length of the rectangle in terms of x.
Area = 4x^3-5x^2-10x-3 and width = 4x+3
Area of rectangle is L times W
This is the last problem for Algebra 1 course, your website helped me with all the other problems, but I can't solve this one. Thank you so much!
Click here to see answer by checkley77(12844)

Question 162005: pls.help me solve the following quadratic equation by factoring:

pls. submit your answer as soon as possible i need to pass it tomorrow
im begging you pls..
Click here to see answer by KnightOwlTutor(293)

Question 162002: pls.help me solve the following quadratic equation by factoring:

pls. submit your answer as soon as possible i need to pass it tomorrow
im begging you pls..
Click here to see answer by Edwin McCravy(20054)

Question 162023: pls.help me solve the following equation by factoring

Click here to see answer by checkley77(12844)

Question 162098: i am asked to solve using the square root property
5x^2-1=74
Click here to see answer by tutor_paul(519)

Question 162101: i am asked to solve using the quadratic formula
x^2-3x-3=-5
Click here to see answer by Alan3354(69443)

Question 162102: I have to complete the square for this equation:
(x-7)^2-100=0
I think you have to add 100 to both sides but I don't know what do to from there. I have to get the x
Please help soon!
Click here to see answer by Alan3354(69443)

Question 162104: I have to complete the square for this problem..
x^2+13=(-14x)I have this
I added 14 x to both sides which left me with
x^2+14x+13=0
then I subtracted 13 from both sides which left me with
x^2+14x+49=13+49
so I have factor 14x which is (x+7)
so (x+7)^2= (13+49)=62
so I have to get the square root of both sides which leaves me with
(x+7)=square root of 62
now I do not know what to do.
please help soon

Click here to see answer by tutor_paul(519)

Question 162146: Nathan made a triangular pennant for the band booster club. The are of the pennant is 80 square feet. The base of the pennant is 12 feet shorter than the height.
a) what are the lengths of the base and height of the pennant?
b)what are the dimensions of the pennant if the base is only 6 feet shorter that the height?
(I really do not understand this problem at all; do we use 1/2(b)(h)
please help soon!
Click here to see answer by checkley77(12844)

Question 162130: You have an item that you bought but you lost the sales receipt. There are no price stickers on the item but you remember you gave the clerk $40 and received x in change. Given that the sales tax rate in the state is 6.65%, how would you go about figuring the cost of the item itself? You may have more than one unknown but create a formula for this relationship.
If you returned the item to a store in another state with a different tax rate, what would the tax rate need to be for you to get back more money that you paid out?

Click here to see answer by ankor@dixie-net.com(22740)

Question 162181: For these types of problems:
complete the square for each expression. Write the resulting expression as a binomial squared.
x^2-22x+____
what I did was:
x^2-22x+121
is it right just like that or do I still need to do more to answer the directions?
please help soon!
Click here to see answer by jim_thompson5910(35256)

Question 162179: I have to write each function in vertex form, and identity it's vertex.
g(x)=x^2-1/2x+1
could you please guide me on the step by step process on how to work this.
please help soon!
thx :)
Click here to see answer by jim_thompson5910(35256)

Question 162100: i am asked to solve using the square root property
(x+6)^2 = 121
Click here to see answer by checkley77(12844)

Question 162099: i am asked to solve using the quadratic formula
x^2-2x=5x-2
Click here to see answer by checkley77(12844)

Question 162177: I asked before :
Nathan made a triangular pennant for the band booster club. The are of the pennant is 80 square feet. The base of the pennant is 12 feet shorter than the height.
a) what are the lengths of the base and height of the pennant?
b)what are the dimensions of the pennant if the base is only 6 feet shorter that the height?
(I really do not understand this problem at all; do we use 1/2(b)(h)
please help soon!
and Checkly77 kindly answered my question.
AREA OF A TRIANGLE=BH/2
(H-12)H/2=80
(H^2-12H)/2=80
H^2-12H=2*80
H^2-12H=160
H^2-12H-160=0
(H-20)(H+8)=0
H-20=0
H=20 IS THE HEIGHT.
20-12=8 FOR THE BASE.
PROOF:
8*20/2=80
160/2=80
80=80
but I am not sure of the b part I don't know if the dimensions are the same or what? could somebody just please help me with the b part.
thank you very much
Click here to see answer by vleith(2983)

Question 162143: This question is from Algebra II, by Bob Jones University. It is in the chapter titled, "Quadratic Equations and Inequalities. In the lesson we were to "solve for x." I have the answer and I have tried many times to work the problem backwards, but I am missing something. Can you please explain this problem to me?
5x^3-39x^2+27x+7=0 x= -1/5,7,1
Click here to see answer by edjones(8007)

Question 162269: I need to complete the square:
2d^2=8+10d
Click here to see answer by Alan3354(69443)

Question 162368: Write an equation for a line that passes through the following points:
(-7, 9), (8, 9)
I dont really know how to do this, and i would really apperciate seeing the steps that explain how to do this problem. THank you in advance!
Click here to see answer by josmiceli(19441)

Question 162534: The length of a standard jewel case is 2cm more than it's width . The are of the rectangular top of the case is 168 cm squared . Find the length and width of the jewel case.
Click here to see answer by checkley77(12844)

Question 162540: this quadratic equation needs to be factored please help.
a parallelagram x+1=a and 2x+1= b what is the base and height if the area is 45sq. units
please show work
Click here to see answer by checkley77(12844)

Question 162658: The flower garden has the shape of a right triangle. 20ft of a perennial border forms the hypotenuse of the triangle, and one leg is 4ft longer than the other leg.Find the lengths of the legs.
Click here to see answer by josmiceli(19441)

Question 162673: the problem is 3x^+x-5 I need to find the x intercept and the vertex . I am not sure how to set up the equation or what numbers go where. HELP PLEASE
Click here to see answer by vleith(2983)

Question 162530: A parallelagram x+1=a and 2x+1 = b
area = 45 square units
find its base and hight and check answers
show all work
Please help??
Click here to see answer by elima(1433)

Question 162720: This is the problem I was given. Can anyone help explain the solution to me - please.

A square picture frame contains a picture with a mat border.
The border is 3 inches thick on the sides and 4 inches thick
on the top and bottom. If the area exposed within the mat border
is 528 square inches, what are the dimensions of the original
frame?
x^2-14x-480 = 0
Click here to see answer by vleith(2983)

Question 162776: The length of a rectangle is twice the width. The area is 18yd^2. Find the length and width.
Click here to see answer by Anthea Lawn(22)

Question 162789: Can I please get help with:

(12)/(3x-2)+(5)/(x+4)=1

Thanks you.
Click here to see answer by edjones(8007)

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