Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 86665: Solve by using the quadratic formula...
1. 2x^2-7x=5
2. x^2=x+4
3. Find the distance between (7,0) and (-7,0)
4. Solve...x^2+8=17
Click here to see answer by Flake(45)

Question 84581: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by Flake(45)

Question 86756: 1.FIND THE CONSTANT TERM THAT SHOULD BE ADDED TO MAKE THE FOLLOWING EXPRESSION A PERFECT SQUARE TRINOMIAL....
X^2+5X
2. SOLVE BY COMPLETING THE SQUARE...
X^2-4X+4=0
3. EVALUATE IF POSSIBLE...
-3 ROOT OF 64

THANKS IN ADVCANCE FOR ALL OF YOUR HELP!!!
Click here to see answer by tutorcecilia(2152)

Question 86765: Hi,
I am working on a quadratic equation: x^2 + 4x + 4 = 7.
I'm not sure if I've arrived at the correct answer...I have x = 2(plus/minus) sq.rt. 7....am I correct in thinking this is the final answer?
Thank you!
Click here to see answer by Earlsdon(6294)

Question 86792: The base of a ladder is 14 feet away from the wall. The top of the ladder is 17 feet from the floor. Find the length of the ladder to the nearest thousandth.

Click here to see answer by checkley75(3666)

Question 86791: simplify:
(square root of 7) x (square root of 14)
Click here to see answer by checkley75(3666)

Question 86794: Find the altitude of the triangle:
length- 13
length- 13
width- 10
Click here to see answer by Flake(45)

Question 86779: Find the distance between (�3, �2) and (1, 4)
Click here to see answer by checkley75(3666)

Question 86776: I'm not sure if I'm on the right track to solving this quadratic equation...hopefully you can help!
The original equation is: 2(x-5)^2=3.
I think that after factoring and re-writing the equation it would look like this: 2x^2-20x+47, is that right?
Then, to go from there, I'm not really sure...any help would be greatly appreciated!
Thank you!
Click here to see answer by Flake(45)

Question 86807: Hi,
I've come to an unusual answer on a quadratic equation, and I would greatly appreciate if someone could verify it for me, so I know I've done it correctly.
The original equation read like this: 2(x-5)^2=3.
After factoring and using the quadratic formula, I came up with two completely different answers, which now has me highly confused as to which one is correct, so any help would be wonderful!
My first answer I came to was this: x = 10+/- sq.rt.6 / 2
My second answer I came to was this:x = 5+/- (3/2)^1/2
Now, I am very confused and lost, and am not sure which answer is correct...or if neither one of them are correct.
Please help!
Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 86777: Find the distance between (�4, 0) and (�5, �3)
Click here to see answer by jim_thompson5910(35256)

Question 86808: I do not understand quadratic equations. Here's my question from my book. Solve each equation and inequality. Write the solution set for each inequality in interval notation.
a.) x^2 - x - 12 = 0
b.) x^2 - x - 12 < 0
c.)x^2 - x - 12 > 0

Click here to see answer by stanbon(75887)

Question 86811: Simplify:
square root of 500
Click here to see answer by stanbon(75887)

Question 86811: Simplify:
square root of 500
Click here to see answer by bucky(2189)

Question 86802: solve the equation by completeing the square
a2(squared)-12a+27=0
Click here to see answer by stanbon(75887)

Question 86802: solve the equation by completeing the square
a2(squared)-12a+27=0
Click here to see answer by jim_thompson5910(35256)

Question 86812: HI I have been working this problem over and over but I can't seem to get it right
5/5+3(1-5^2)/
I know the answer is 335 but I am not getting that answer any help will be appriciated
Click here to see answer by checkley75(3666)

Question 86790: simplify:
square root of 72
Click here to see answer by bucky(2189)

Question 86834: Simplify. Assume x represents a positive number.
sqrt45x^4

Click here to see answer by stanbon(75887)

Question 86833: simplify:
sqrt75a^2/sqrt5
Click here to see answer by stanbon(75887)

Question 86914: A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 square foot, what is the width of the path?
Click here to see answer by ankor@dixie-net.com(22740)

Question 86816: How can you find the equation of the axis of symmetry for this parabola
y=xsquared - 6x + 7

Click here to see answer by scott8148(6628)

Question 86831: Which two expressions are equivalent? Provide evidence for your answer

sqrt-49,-7,-sqrt49

Click here to see answer by checkley75(3666)

Question 87000: I still cant figure out the answer to this question even with this website. The question is: Solve by using te quadratic formula. 5x^2+4x-7=0
Click here to see answer by stanbon(75887)

Question 87001: This isnt a quadratic formula problem, I dont know what type of problem it is, I just really need help in it. The problem is: Simplify d^2-2d-3
d^2-10d+24
d+1
d-4
They are like that because the problem is in fraction form
Click here to see answer by checkley75(3666)

Question 86795: simplify:
square root of 125/square root of 5

Click here to see answer by checkley75(3666)

Question 87033: I need help with a word problem- a radiator contains 10 qts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure atifreeze so that the new mixture is 40% atifreeze.
this is how I set the problem up
.30(10-x)+x=.4(10)
3-.30x+x=4
-.30+x=1
.7x=1 1/.7 =1.42 qrts
I would appreciate any help because I am not sure if that is correct or not
Thank you
KRockwell
Click here to see answer by scott8148(6628)

Question 86823: simplify
5sqrt6x + 4sqrt6x
Click here to see answer by checkley75(3666)

Question 86801: Please help me with this question:

sketch the graph of the parabola y=3(x-2)2(squared)-5
I have tried everyway I can.
Click here to see answer by Edwin McCravy(20054)

Question 87086: Use the arithmetic sequence of numbers 2, 4, 6, 8, 10� to find the following:
a) What is d, the difference between any two consecutive terms?
Answer:
Show work in this space.

b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.

c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
Answer:
Show work in this space.

d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
Answer:
Show work in this space.

e) What observation can you make about the successive partial sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?
Answer:

Click here to see answer by jim_thompson5910(35256)

Question 87089: Please help me with this word problem:
A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna?
Click here to see answer by Flake(45)

Question 87213: Would someone please help me with this one:
Solve the following quadratic equations by factoring or by any of the quadratic equations available such as square root, completing the square, etc.
4x^2-8x+3=5
Click here to see answer by Nate(3500)

Question 87224: find the quadratic equation when one root is the square of the other
Click here to see answer by checkley75(3666)

Question 87224: find the quadratic equation when one root is the square of the other
Click here to see answer by Edwin McCravy(20054)

Question 87239: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter�s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, �If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.� As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24th square?
Answer:
Show work in this space.

b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.

c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Answer:

Click here to see answer by jim_thompson5910(35256)

Question 87238: Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27� to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.

b) Using the formula for the sum of the first n terms of a geometric sequence, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.

c) Using the formula for the sum of the first n terms of a geometric sequence, what is the sum of the first 12 terms? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.

d) What observation can make about the successive partial sums of this sequence? In particular, what number does it appear that the sum will always be smaller than?
Answer:

Click here to see answer by jim_thompson5910(35256)

Question 87266: Solve the following using the square root method or the quadratic equation.
66x^2 -31x -9 + 0
Not understanding this can you help Please!!
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 87249: David drew a rectangle is 143 square mm. Derek drew a rectangle inside of David which is 35 square mm. Derek's rectangle has a three mm border between his and David's rectangle. What are the length and width of David rectangle? -Jason
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 87254: The demand equation for a certain type of printer is given by
D = -200p + 35,000
The supply equation is predicted to be
S = -p square + 400p - 20,000
Find the equilibraum price
Click here to see answer by longjonsilver(2297)

Question 86764: Please help...my original problem is: 2(x-5)^2 = 3.
I think the answer is: x= 10 (plus/minus) sq.rt.6 / 2....am I on the right track?
Thank you for your help!
Click here to see answer by bucky(2189)

Question 87293: Please help! I am having a hard time figuring out this question:
The demand equation for a certain type of printer is given by D = -200p +35,000. The supply equation is predicted to be S = -p^2 +400p - 20,000. What is the equilibrium price?
Thank you!!
Click here to see answer by rapaljer(4671)

Question 87298: the area of a rectangle is 165ft^2. the length is 4ft greater than the width. find the dimensions of the rectangle.
Click here to see answer by checkley75(3666)

Question 87295: I'm having difficulties with this word problem. Any help that you can give me would be wonderful! Thank you in advance!!
The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and width) of the rectangle?
Click here to see answer by checkley75(3666)

Question 87267: Would someone help me with this word problem. I think that it is supposed to be solved using the completing the square method.
A garden area is 30ft. long and 20 ft. wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?
Click here to see answer by ankor@dixie-net.com(22740)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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