Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 247930: How can this be solved by FACTORING. We have not yet gotten to the actual quadratic formula yet.
The equation is this: 25x^2=5x-1
Rearrange the formula to get: 25x^2+5x-1=0 but that is as far as I can get. I can't seem to be able to factor anything out of this. Thank you!
Click here to see answer by scott8148(6628)  |
Question 248126: i need a little help to make sure i am doing this right.
Solve: 2x-5=(the square root of) x+20
this is what i have:
(2x-5)^2=x+20
4x^2-10x-10x+25=x+20
4x^2-20x+25=x+20
4x^2-21x+5=0
(4x-1)(x-5)=0
4x-1=0 or x-5=0
x=1/4 or x=5
but the question on my review has multiple choice answers of:
a) 1/4 b)16 c) 29 or d) 5
which is the right answer or am i correct in thinking that there are 2 possible answers?
Click here to see answer by jim_thompson5910(35256) |
Question 248262: Can you please help with these word problems I am terrible at word problems. I listed the problems below along with what I could figure out. Thanks in advance.
Solving Quadratic Equations by Factoring
1. Address book. The perimeter of the cover of an address book
is 14 inches, and the diagonal measures 5 inches. What are
the length and width of the cover?
x^2+14=5^2
x^2+x^2+14=25
2x^2+14=25
-14=-14
2x^2=11 don't know if this is right thus far and where to go from here.
2. Throwing a wrench. An angry construction 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.
-16(t+4)(t-2)is what I have so far!!
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?
Click here to see answer by stanbon(75887) |
Question 248262: Can you please help with these word problems I am terrible at word problems. I listed the problems below along with what I could figure out. Thanks in advance.
Solving Quadratic Equations by Factoring
1. Address book. The perimeter of the cover of an address book
is 14 inches, and the diagonal measures 5 inches. What are
the length and width of the cover?
x^2+14=5^2
x^2+x^2+14=25
2x^2+14=25
-14=-14
2x^2=11 don't know if this is right thus far and where to go from here.
2. Throwing a wrench. An angry construction 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.
-16(t+4)(t-2)is what I have so far!!
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?
Click here to see answer by richwmiller(17219)  |
Question 248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.
Click here to see answer by josmiceli(19441)  |
Question 248644: The so called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman Architects. The length of a golden rectangle is approx. 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2.
Click here to see answer by dabanfield(803) |
Question 248829: A flagpole is secured on opposite sides by two guy wires, each of which is 6 ft longer than the pole. The distance between the points where the wires are fixed to the ground is equal to the length of one guy wire. How tall is the flagpole (to the nearest inch)?
Click here to see answer by dabanfield(803) |
Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0.
Click here to see answer by josmiceli(19441)  |
Question 248836: bill & jose's discount cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. last tuesday, a total of $331.30 was collected from 89 movie watchers. how many of each type of ticket were sold? (let x represent the number of adults' tickets and y represent the number of children's tickets.)
4. solve by applying the quadratic formula. show your work. 3x2 - 2x + 3 = 0.
Click here to see answer by tutorcecilia(2152)  |
Question 248831: 1. x2 - 8x + 16 = 36
2. use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. 3 + 8z2 = -7z
Click here to see answer by oberobic(2304) |
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