Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 980320: The perimeter of a rectangle is 60 inches and the area is 161 square inches. Find the dimensions of the rectangle

Click here to see answer by rothauserc(4718)

Question 980329: Mr. Perez wishes to make a pan by cutting squares from each corner of a 16-inch by 26-inch rectangular sheet of tin and folding up the sides. What should be the length of the side of each square if the base of the pan is to have an area of 200 square inches?
Click here to see answer by macston(5194)

Question 980386: The area of a rectangle is 42 m^2, and the length of the rectangle is 5 m more than double the width. Find the dimensions of the rectangle
Click here to see answer by Cromlix(4381)

Question 980493: please tell me the way on how to solve this step-by-step by finding the roots of this in the form of quadratic equation.
A=160 meter square
L=2x+3
W=x
Click here to see answer by rothauserc(4718)

Question 980619: Write the quadratic equation whose roots are
1
and
−4
, and whose leading coefficient is
1
.
Click here to see answer by josh_jordan(263)

Question 980658: Solve
x^2+6x+2=0
Give your answer in the form a+√b where a and b are integers.
Click here to see answer by josgarithmetic(39616)

Question 980730: The function f(t) = t2 + 6t − 20 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)
Part C: Determine the axis of symmetry for f(t). (2 points)
Click here to see answer by MathLover1(20849)

Question 980749:
Click here to see answer by josgarithmetic(39616)

Question 980788: one number is eight more than another. their product is -16. what are the numbers?

Click here to see answer by Boreal(15235)

Question 980756:
Click here to see answer by solver91311(24713)

Question 980843: The product of a positive number and eight more than four times the number is 192. Find the two numbers.
Click here to see answer by solver91311(24713)

Question 980860: Elvin can encode a document four hours more than EJ does. The two work together in 3 hours when EJ left for an important appointment. Elvin continued the job and completed it in 2 hours. How long will it take each to complete the job alone?
Click here to see answer by Eminence(2)

Question 980881: What is the vertex, Y intercept and X intercept of f(x)=(x+2)^2-4
Click here to see answer by Fombitz(32388)

Question 980897: hello :) hope anyone can help me
Solve by using the quadratic equation
X=- b+_ sqrt ( (B)^2 -4(a) (c)
All over 2(a)
1.) a^2+2(a+3)=0
2.) x^2-3(2x+3)=0
3.) 3y(y-5)=6
4.) 2(3x^2+1) =
Hope anyone can help me solve :)
Kindly could you explain how too?
Thnak you bery much!

Click here to see answer by Alan3354(69443)

Question 981082: Find two consecutive even integers whose product is 34 more than their sum.
Click here to see answer by macston(5194)

Question 981098: How to solve quadratic equations by extracting square roots
Click here to see answer by ikleyn(52775)

Question 981119: Find the length and width of a similar rectangular screen if the length is 10 meters more than 6 times its width, and the viewable area is 7,700 square meters.
please help!
Click here to see answer by josgarithmetic(39616)

Question 981162: A rocket is launched straight up from the ground with an initial velocity of 96 feet per second. Find the maximum height of the rocket
Click here to see answer by Alan3354(69443)

Question 981161: A rocket is launched straight up from the ground with an initial velocity of 96 feet per second. At what time does the rocket reach its maximum height?
Click here to see answer by Alan3354(69443)

Question 981195: The formula is -b^2�√b^2-4ac
--------------
2a

Use the formula to solve the following and give the answers as decimal approximations to two places.
1) x^2+2=0
2) x^2-7x=2
3) x^2=6x-11
Thank you
Click here to see answer by solver91311(24713)

Question 981196: 1. if the point (1,-2) lies on the graph it satisfies the equation y=ax^2+bx+c
substitute____ for x and ____ for y to get -2=a+b+c

thank you so much for your help and time

Click here to see answer by solver91311(24713)

Question 981201: to multiply matrices we multiply the elements of a row in the first matrix with the corresponding elements of a column in the second matrix. for example, the element in the 2nd row and 3rd column of matrix AB is the sum of the products of the elements in row _____ of A and the corresponding elements in column ____ of B.
Click here to see answer by jim_thompson5910(35256)

Question 981231: Our teacher gave us a worded problem. But, it is like more of finding the area of the rectangle but different. I've been solving this problem for hours now and I don't know what step I did wrong. Can you please help me find the roots, if it's factor-able or not, or the area? Thank you. OK here's the worded problem:
A rectangular park 80 meters long and 60 meters wide is surrounded by a driveway of uniform width. How wide is the driveway if its area is 3/25 of the area of the park?
Click here to see answer by josgarithmetic(39616)

Question 981317: the product of a negative integer and 5 less than twice the integer equals the integer plus 56. find the integer.
Click here to see answer by macston(5194)

Question 981316: if the square of a positive integer is added to three times the integer is added to three times the integer, the result is 28. find the integer.
Click here to see answer by ankor@dixie-net.com(22740)

Question 981315: one positive number is six more than another. the sum of their squares is 260. what are the numbers?
Click here to see answer by Boreal(15235)

Question 981315: one positive number is six more than another. the sum of their squares is 260. what are the numbers?
Click here to see answer by ankor@dixie-net.com(22740)

Question 981364: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse.
a=5, c=11
Click here to see answer by josgarithmetic(39616)

Question 981399: Complete the square on the following quadratic
x2+14x+9=0
what value is added to both sides of the equation.

Click here to see answer by Boreal(15235)

Question 981399: Complete the square on the following quadratic
x2+14x+9=0
what value is added to both sides of the equation.

Click here to see answer by richwmiller(17219)

Question 981399: Complete the square on the following quadratic
x2+14x+9=0
what value is added to both sides of the equation.

Click here to see answer by rothauserc(4718)

Question 981397: Change to quadratic equation then find the solution set.
Please help me solve this.

Click here to see answer by macston(5194)

Question 981433: Twice a certain whole number subtracted from 3 times the square of the number leaves 133. Find the number

Click here to see answer by Cromlix(4381)

Question 981386: Two track team members ran a 200 m relay in 29 s. Each person ran 100 m. One sprinter ran 0.55 m/s faster than the other. what was the speed of each runner?
thanks.. 😁
Click here to see answer by macston(5194)

Question 981546: 2 2
(x+2) + (x-2) = 16
______ ______ __
5 3 3
Click here to see answer by josgarithmetic(39616)

Question 981733: 3x^ -2=-4x
Click here to see answer by Alan3354(69443)

Question 981712: 4x^2+7x-2=0
Please help
Click here to see answer by macston(5194)

Question 981712: 4x^2+7x-2=0
Please help
Click here to see answer by MathTherapy(10551)

Question 981712: 4x^2+7x-2=0
Please help
Click here to see answer by EasySolvin(10)

Question 981899: The equation 8x-x^2=k-2 has roots a and b. Find the value of k if the roots differ by 2.
Click here to see answer by mananth(16946)

Question 981898: Please help me solve this problem
determine the value of k
3x^2 = 4x-k-1; one root is 1 more than 2x the other root

Click here to see answer by josmiceli(19441)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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