Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 360640: Please factorise the following using the difference of two squares method.
(2x+y)squared -4
4a squared b squared -16c squared

Click here to see answer by Alan3354(69443) About Me 

Question 360642: Please solve the following equations using the quadratic formula.
4x squared +3x=5

3x squared =3-5x

Click here to see answer by ewatrrr(24785) About Me 

Question 360654: the formula a=p(1+r)2 gives the amount A dollar that P dollars will grow to in 2 years at interest rate R (when R is given as a decimal) using compound interest what interest rate will cause 3000 to grow to 3182.70 in two years?
Click here to see answer by stanbon(75887) About Me 
Question 360654: the formula a=p(1+r)2 gives the amount A dollar that P dollars will grow to in 2 years at interest rate R (when R is given as a decimal) using compound interest what interest rate will cause 3000 to grow to 3182.70 in two years?
Click here to see answer by nerdybill(7384) About Me 

Question 360641: Please solve the following quadratic equations by factors (Please do not use the quadratic formula)
x+7/3 + 2/x =4

3/x-1 - 2/x+1=1

x+2/x-4 = 2x+1/x-2

Click here to see answer by stanbon(75887) About Me 

Question 360662: THE AREA OF A CIRCLE WITH RADIUS R IS GIVEN BY THE FORMULA A=nr2, IF A CIRCLE HAS A AREA 100n SQUARE INCHES WHAT IS THE RADIUS.

THE RADIUS IS _____________
SIMPLIFY YOUR ANSWER TYPE AN INTEGER OR A FRACTION................

Click here to see answer by mananth(16946) About Me 

Question 360666: (3x-1)^2=4/9. Solve using square root property
Click here to see answer by stanbon(75887) About Me 

Question 360656: GIVEN THE FUNCTIONS F(x)=5X+7 FIND EACH OF THE FOLLOWING
F(4), F(-4), F(0)

F(4)=___________
F(-4)=__________
F(0)=______________
SIMPLFY YOUR ANSWER . TYPE AND INTEGER OR A FRACTION

Click here to see answer by Theo(13342) About Me 

Question 360697: THE DIAGONAL OF A RECTANGLE MEASURE 13 CM. THE WIDTH OF THE RECTANGLE IS 5 CM FIND THE LENGTH OF THE RECTANGLE.

THE LENGTH OF THE THE RECTANGLE IS __________CM

Click here to see answer by ewatrrr(24785) About Me 

Question 360704: GIVEN THE FUNCTIONS(X)=[X+1] FIND EACH OF THE FOLLOWINGS.
F(8), F(-7), f(0)

F(8)=________________ SIMPLIFY YOUR ANSWER TYPE AND INTEGER OR A FRACTION

F(-7)=__________________SIMPLIFY YOUR ANSWER TYPE AND INTEGER OR A FRACTION
F(0)=__________________SIMPLIFY YOUR ANSWER TYPE AND INTEGER OF A FRACTION

Click here to see answer by ewatrrr(24785) About Me 

Question 360690: Write a quadratic model for (-1,1) (1,1) (3,9)
Click here to see answer by josmiceli(19441) About Me 

Question 360729: Hi, I need as much help as I could possibly get in understanding how to solve quadratic equations Section 11.3. I am required to show all of the steps in detail of how I got the answer. Could someone please assist me with this problem:
Directions state:
Use the quadratic formula to solve equation.
1.)
x^2 + 15x+56=0

Click here to see answer by jim_thompson5910(35256) About Me 
Question 360729: Hi, I need as much help as I could possibly get in understanding how to solve quadratic equations Section 11.3. I am required to show all of the steps in detail of how I got the answer. Could someone please assist me with this problem:
Directions state:
Use the quadratic formula to solve equation.
1.)
x^2 + 15x+56=0

Click here to see answer by ewatrrr(24785) About Me 

Question 360730: I was wondering if someone who is an expert in this area could help me? I don't understand how to obtain the answer for the following problem. In order for me to get a good grade, I need to show all the steps I used to get the answer. I would be most appreciated and happy if you could show me how to solve the following problem:
Directions: Use the discriminant to determine the number and type of solutions for the given equation.
X^2+ 3x-4=0
according to my book it states that the answer is:
two rational solutions.
My question is how do I know this? What steps do I have to take to determine this? I thank you for your help!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 360713: find the following values for the function defined by f(x)=x+4

x x+4 f(x) (x,y)

2 ------ ----- -------

type in order of pair in the third input box

Click here to see answer by jim_thompson5910(35256) About Me 

Question 360725: What is the perimeter of a rectangle if the length is 7/10 in. and the width is 1/10 in. 4/5, 1 4/5, 1 3/5, 3/5
Click here to see answer by ewatrrr(24785) About Me 

Question 360788: How do I find the width of (x-4)(x+2)=0 and 8x^2=6x+27 ?
Click here to see answer by Alan3354(69443) About Me 

Question 360913: How many solutions does y^2=4/5y+1/2 and x^2-2x-11=0 have?
Click here to see answer by Fombitz(32388) About Me 

Question 360986: 7x^2-5x-13=0
Click here to see answer by Fombitz(32388) About Me 

Question 361010: the formula A=P(1+r)2 gives the amount A in dollars that P dollars will grow to in 2 years at int rate R (where R is given as a decimal) using compound interest what int. rate will cause $6000.00 to grow $6741.60 in 2 years ?
Click here to see answer by josmiceli(19441) About Me 

Question 361107: Hello! I am working on quadratic equations this week, in my Algebra class (section 11.4, #7). At the current moment I am stumped and totally confused on this one problem we are required to do. Apart of the requirements for completing the assignment is to show every single step on how I got to my answer. I wasn't sure if anyone could help me, but I thought I would post to see who's the master at these type of equations. Thank you so much in advance for all your help!
Directions: Solve the equation by making an appropriate substitution.
x-〖2x〗^(1/2)-8=0

Click here to see answer by mananth(16946) About Me 

Question 361105: Jess here! I need some help! I am not good in math AT ALL and this includes intermediate Algebra (section 11.4). My teacher is requiring that we, the students, show every single step on how we obtained our answers. If someone could be so kind as to help me solve this problem (below), with every single required step on how you got your answer, I would be SO HAPPY and so GRATEFUL!
Directions state: Solve the equation by making an appropriate substitution.
x^4 - 〖40x〗^2+144=0
Thanks so very much!

Click here to see answer by mananth(16946) About Me 

Question 361121: Solving Quadratic Equations by Completing the Square
3x%5E2+%2B+3x+=+5
Thank you for your time and help.

Click here to see answer by husnank@gmail.com(1) About Me 

Question 361191: Please solve by factors
4x squared -29x+7=0



Thank you. I had the answer but lost it.

Click here to see answer by stanbon(75887) About Me 

Question 361187: Please factorise the following by using the difference of two squares method

(2x+y) squared -4
4a squared b squared -16c squared

Click here to see answer by Alan3354(69443) About Me 

Question 361188: Please solve the quadratic equation by factors

2/x-2 + 3/x = 5/x-4


Please solve using the difference of two squares method

49a squared -4b squared

Click here to see answer by edjones(8007) About Me 

Question 361245: Find all the real roots of equation x^4 + 2x^2 − 24 = 0.

Click here to see answer by ewatrrr(24785) About Me 

Question 361286: Hello! I am working on quadratic equations this week, in my Algebra class (section 11.4, #4). At the current moment I am stumped and totally confused on this one problem we are required to do. Apart of the requirements for completing the assignment is to show every single step on how I got to my answer. I wasn't sure if anyone could help me, but I thought I would post to see who's the master at these type of equations. Thank you so much in advance for all your help!
Directions: Solve the equation by making an appropriate substitution.
4.)
2x-11√x- 40=0
the answer the book gives is Answer= {64}, but I don't see how I obtain the answer. Any help you can give is GREATLY appreciated.

Click here to see answer by Alan3354(69443) About Me 

Question 361324: Hi, I am looking for some help! I need to show my work, (all steps I took to obtain the answer, but I have no idea how to complete the problem. Could someone please help me? (section 11.1, #7)
Directions:
Solve each equation by the square root property. If possible, simplify radicals or rationalize denominators. Express imaginary solutions in the form a +bi.
〖3x〗^2-2=0 (the first part should be 3x (squared) but for some reason it's not showing that way). If you can show me the steps and how to obtain the answer that is: {±√6/3}

Click here to see answer by stanbon(75887) About Me 
Question 361324: Hi, I am looking for some help! I need to show my work, (all steps I took to obtain the answer, but I have no idea how to complete the problem. Could someone please help me? (section 11.1, #7)
Directions:
Solve each equation by the square root property. If possible, simplify radicals or rationalize denominators. Express imaginary solutions in the form a +bi.
〖3x〗^2-2=0 (the first part should be 3x (squared) but for some reason it's not showing that way). If you can show me the steps and how to obtain the answer that is: {±√6/3}

Click here to see answer by Alan3354(69443) About Me 

Question 361331: Hi, I was wondering if someone could possibly help me. I am supposed to do these homework questions in my Algebra class, but I am having a hard time getting started. I don't know what steps to go through to obtain the answer. The back of the book shows the answers, but that doesn't help me much. I need to show I got to the answer. If anyone could possibly assist me, by showing me how you obtained the answer, I would be forever grateful! :o)
(Section 11.1, Pg. 749, # 107)
Directions: In the following exercise use the compound interest formula
A=P(1+r) ^t to find the annual interest rate, r.
In 2 years, an investment of $1280 grows to $1445.
the answer in the back of the book is: 6.25%, but I have no idea how they got this answer. Your help is forever appreciated! :o)

Click here to see answer by edjones(8007) About Me 

Question 361342: Hi, I was wondering if someone could possibly help me. I am supposed to do these homework questions in my Algebra class, but I am having a hard time getting started. I don't know what steps to go through to obtain the answer. The back of the book shows the answers, but that doesn't help me much. I need to show I got to the answer. If anyone could possibly assist me, by showing me how you obtained the answer, I would be forever grateful! :o)
Section 11.2, Pg. 762, #3.
Directions: Solve each equation using the quadratic formula, simplify solutions, if possible.

〖2x〗^2-7x=-5 (the first part should read 2x squared)
the answer it shows in the back of the book is: {1,5/2}


Click here to see answer by stanbon(75887) About Me 

Question 361348: Hi, I was wondering if someone could possibly help me. I am supposed to do these homework questions in my Algebra class, but I am having a hard time getting started. I don't know what steps to go through to obtain the answer. The back of the book shows the answers, but that doesn't help me much. I need to show I got to the answer. If anyone could possibly assist me, by showing me how you obtained the answer, I would be forever grateful! :o)
Section 11.2, Pg. 764, #79
The longer leg of a right triangle exceeds the shorter leg by 1 inch, and the hypotenuse exceeds the longer leg by 7 inches. Find the lengths of the legs. Round to the nearest tenth of a inch.
The answer the book shows is: 17.6in. and 18.6 in.
I don't understand how they were able to get this answer. Any help is greatly appreciated. Thanks!

Click here to see answer by stanbon(75887) About Me 

Question 361368: solve the equations.
4x2=81

Click here to see answer by nerdybill(7384) About Me 

Question 361402: I am having some difficulty with quadratic equations. The problem is, I don't understand the steps I should take to get the correct answer. Could you possibly show me each step I should take to find the anwer? I appreciate anyone and everyone's help!
Section 11.4, #6
Direction: Solve the equation by making an appropriate substitution.
(2x-4 )^2-6(2x-4)-7=0 (it should say (2x-4) squared)
The correct answer according to the book is: {3/2. 11/2}

Click here to see answer by jim_thompson5910(35256) About Me 

Question 361459: X²+2x-35=0
Click here to see answer by unlockmath(1688) About Me 

Question 361485: x²+10x+24=0
Click here to see answer by checkley77(12844) About Me 

Question 361481: x²+10x+24=0
Click here to see answer by checkley77(12844) About Me 

Question 361622: What are the solutions to the equation:1-16/x^2=6/x
Click here to see answer by robertb(5830) About Me 

Question 361698: 28x^2-19x+3=0 what are the factors of this equation
Click here to see answer by shorty4aboo(8) About Me 

Question 361774: Can you help with this problem: Show that there is no quadratic equation ax^2 + bx + c = 0 such that a, b, and c are real numbers and 3i and -2i are solutions.
Thanks for your help.

Click here to see answer by Fombitz(32388) About Me 

Question 361779: I have 3 numbers whose sum is 60. The middle number is four time the smallest number. What is the maximum product of the two larger number?
Click here to see answer by Fombitz(32388) About Me 

Question 361804: Solve by completing the square:
x^2+4x=7

Click here to see answer by solver91311(24713) About Me 

Question 361946: Solve
x^2+6x=16
use the quadratic formula to find the exact solution

Click here to see answer by ewatrrr(24785) About Me 

Question 361947: Solve
x^2+35=5x
use the quadratic formula to find the exact solution

Click here to see answer by ewatrrr(24785) About Me 

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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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240