Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 173621: Solve the formula for the specified variable.
c = sqrt (a^2 + b^2) for A
Click here to see answer by nerdybill(7384)

Question 173626: Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?
Click here to see answer by stanbon(75887)

Question 173624: A picture 11 inches by 15 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 285 square inches?
Click here to see answer by nerdybill(7384)

Question 173623: An open box is to be made from a rectangular piece of tin by cutting two inch squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin.
Click here to see answer by 303795(602)

Question 173614: Solve the equation
sqrt (2x + 3) - sqrt (x + 1) = 1
Click here to see answer by 303795(602)

Question 173615: Solve the equation
24/x - 2 + 24/x + 2 = 5
Click here to see answer by Alan3354(69443)

Question 173625: Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 84 miles in the same time that Dana travels 78 miles. If Chuck's rate of travel is 3 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Click here to see answer by gonzo(654)

Question 173619: A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does to go downstream 360 miles. How fast is the current?
Click here to see answer by gonzo(654)

Question 173613: Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes were doubled and the number of nickels were increased by 6, the value of the coins would be $9.90. How many dimes does he have?
Click here to see answer by gonzo(654)

Question 173612: The perimeter of a rectangle is 62 m. If the width were doubled and the length were increased by 21 m, the perimeter would be 120 m. What are the length and width of the rectangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 173622: Solve the formula for the indicated letter.
S = (1/3nr^2h + 4nrh), for r
Click here to see answer by ankor@dixie-net.com(22740)

Question 173683:
Click here to see answer by Mathtut(3670)

Question 173734: Create a real life situation that fits into the equation (x+4)(x-7)=0. Do this by a word problem.
I am not good at word problems, can you please help.
Click here to see answer by Mathtut(3670)

Question 173611: The value V, in dollars, of a shopkeeper's inventory software program is given by V= -40t + 350, where t is the number of years since the shopkeeper first bought the program. Find the value of the software after 0 yr, 4 yr, and 6 yr.
Click here to see answer by Mathtut(3670)

Question 170443: Expand and simplify:
a. 6(x+2)+(x+2)
b. 5(2x-1)-3x(2x-1)
Click here to see answer by HyperBrain(694)

Question 173804: Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
2x^2 + 8 = -1
Click here to see answer by vleith(2983)

Question 173803: Round to the nearest tenth, if necessary. A rock falls from a tower that is 432 feet high. As it is falling, its height is given by the formula h = 432 - 16t^2. How many seconds will it take for the rock to hit the ground (h=0)?
Could it be 5.2 seconds?
Click here to see answer by vleith(2983)

Question 173805: Solve. Round results to the nearest thousandth.
7x^2 - 6x - .4255 = 0
Click here to see answer by vleith(2983)

Question 173802: Solve the equation.
24/(x-2)+24/(x+2)=5
Click here to see answer by Alan3354(69443)

Question 173836: My algebra 2 teacher has the equation . I solved it by moving the -2x^2 to the right side (less work) to get . He solved it (more work) by moving 16x + 28 to the left side to get . We both get the same roots and the same axis of symmetry, but different vertices. I get a minimum, my parabola is "upright" while he gets a maximum because his is upside down.
What is the rule? He says he always solves for a positve "a", but the book just says a cannot = 0.
Help!
Click here to see answer by solver91311(24713)

Question 173851: Evaluate (-8.3)(4.7)
Your help is Apreciated!Thanks.
Click here to see answer by stanbon(75887)

Question 173850: Evaluate,I need help..Can someone please show me how to do this step by step?
1/3+3/4 divided by 4/12-5/6
Thank You SO much! =D
Click here to see answer by stanbon(75887)

Question 173855: Hi struggling mom here--trying to help daughter with homework> we need help with the following quadraic equation if possible thanks!
x^2-2x+1=196
Many thanks,
Susan
slelsea@aol.com
Click here to see answer by solver91311(24713)

Question 173854: I need to solve this equation using a quadratic formula can you help?
4x^2=2x-11
Click here to see answer by Fombitz(32388)

Question 173854: I need to solve this equation using a quadratic formula can you help?
4x^2=2x-11
Click here to see answer by solver91311(24713)

Question 173821: Problem # 1: Solve -3x - 4y + 2z = -6
Problem # 2: Solve 4x - 6y + 3z = 8
Problem # 3: Solve y^2 - 16/2y + 6 divided by y -4/ y + 3
Problem # 4: Which of the following ordered pairs is a solution of y =x - 8:
a(20,13) b(12,20) c(12,21) d(20,12)

Click here to see answer by nycsub_teacher(90)

Question 173793: Given the equation kx^2+(k-1)x+2k+3=0 where k is a non-zero integer, find the value of k for which:
(a) one root is the negative of the other.
(b) one root is the reciprocal of the other.
(c) one root is the twice of the other.
Click here to see answer by josmiceli(19441)

Question 173956: This is one main question with several parts. Please help. Thank you,
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain.
Click here to see answer by vleith(2983)

Question 173792: Given that the roots of x^2+px+q=0 are (alpha) and 4(alpha) show that 4p^2= 25q.
Click here to see answer by solver91311(24713)

Question 173794: The roots of the equation 4x^2-x+36=0 are (alpha)^2 and (beta)^2. Find:
(a) an equation whose roots are 1/(alpha)^2 and 1/(beta)^2 ,
(b) two distinct equations whose roots are (alpha) and (beta).
Click here to see answer by josmiceli(19441)

Question 174050: The measure of the area of a rectangle is 4x2+7x-15. If hedemensions of the rectangle are representd by polynomials, find the demensions of the rectangle and then find its perimeter if each side is increased by 4 units.
Click here to see answer by stanbon(75887)

Question 174047: The measure of the area of a rectangle is x2 -19x+48. If the dimensions of the rectangle are represented polynomials, find the demensions oftherectangle and then find its perimeter.
Click here to see answer by ankor@dixie-net.com(22740)

Question 174096: Find the slope of the equation 7x + 9y = 27.
Click here to see answer by loni(3)

Question 174096: Find the slope of the equation 7x + 9y = 27.
Click here to see answer by Mathtut(3670)

Question 174110: how do you write equations in slope-intercept form and then how can you tell if each pair of lines is parallel, perpendicular, or neither?
y = -4x + 1 and y = -4x - 5
Click here to see answer by Mathtut(3670)

Question 174093: Put the equation 4x - 3y = 21 into slope-intercept form.
Click here to see answer by Mathtut(3670)

Question 174105: Find the product of two consecutive positive even integers is 288. Find the integers.
Click here to see answer by Alan3354(69443)

Question 174106: The sum of the squares of two consecutive even positive integers is 340.Find the integers.
Click here to see answer by checkley77(12844)

Question 174095: Write the equation of the line (in slope-intercept form) that passes through (3,4) and has a slope of 5/3.
Click here to see answer by checkley77(12844)

Question 174094: Driving down a mountain, George finds that he has descended 1800 ft in elevation by the time he is 3.25 miles horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by checkley77(12844)

Question 174049: The measure of the area of a rectangle is 6x2+13x-5. If the demensions of nthe rectangle are represented by polynomials, find the demensions of the rectangle and then find its perimeter.
Click here to see answer by ptaylor(2198)

Question 174306: divide:
(-x^3+2x^2-2x+3)/(x^2-1)
when i did this my answer was -x+2-3x+5/x^2-1
Click here to see answer by vleith(2983)

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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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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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, 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