Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1085210: The sum of a number and its square is 4 more than twice the number. Find the number.
Click here to see answer by addingup(3677)

Question 1085210: The sum of a number and its square is 4 more than twice the number. Find the number.
Click here to see answer by math_helper(2461)

Question 1085217: a 4-foot length of stone curbing contains 3840 cubic inches. if its width is 5 times its thickness, find these dimensions using quadratics.
Click here to see answer by addingup(3677)

Question 1085310: A takes 16 Days less than B to do a piece of work. If both working together can do it in 15 days ,in how many days will A alone complete the work.
My solution:
Let time taken by B be x
Time taken by A= x-16
One day work of B =1/x
One day work of A =1/x-16
They together complete the work in 15 days
A+B one day work = 1/15
According to question
1/(x-16) -1/x =1/15
X-(x-16)/x^2-16x= 1/15
16/x^2-16x= 1/15
15�16=x^2-16x
x^2-16x-240=0
On solving this eq my ans is not coming. Please give me the correct solution.
Click here to see answer by josgarithmetic(39613)

Question 1085477: Which of the following quadratic equation have repeated roots-
1. X square+6x+9=0
2. Z square-6z+6=0
3. 2y square+15y+30=0
4. 9x square-12x+4=0
5. 16y square-40y+25=0
6. 9z square-6z+4=0
Please I want help in this...
Click here to see answer by Alan3354(69443)

Question 1085491: A local building code requires that all schools must be surrounded by a lawn. The width of the lawn must
be uniform and the area of the lawn must equal the area of the school. What must be the width of a lawn
surrounding a rectangular school that measures 120 m by 80 m?
Click here to see answer by Boreal(15235)

Question 1085449: The area of a rectangle is x2
� x � 2.
If one side has length x + 1 metres, give the second side in terms of x.
Click here to see answer by ikleyn(52750)

Question 1085503: x^(2)=-75 where x is a real number, solve with the quadratic formula
Click here to see answer by Fombitz(32388)

Question 1085503: x^(2)=-75 where x is a real number, solve with the quadratic formula
Click here to see answer by ikleyn(52750)

Question 1085585: what are the coordinates of the vertex?
f(x)= 2x^2-3x+4
Click here to see answer by Fombitz(32388)

Question 1085624: Please help me how to solve this quadratic equation.2�^2-98=0
Click here to see answer by ikleyn(52750)

Question 1085624: Please help me how to solve this quadratic equation.2�^2-98=0
Click here to see answer by rothauserc(4718)

Question 1085724: A softball lands on top of a school during a game. The coach throws the ball from the top of the building back toward the field. The graph below represents the height of the ball above the ground as it relates the time in seconds.

Click here to see answer by Alan3354(69443)

Question 1085809: 1. Use the discriminant to determine the number of solutions for x^2-3x+6=0
2. Solve x^2+6x=0
3. Solve the following quadratic equation using the specified method. (5 points per solution method)
x^2+10x=3
A) Use the method of completing the square and square roots.
B) Use the Quadratic Formula.
Click here to see answer by MathLover1(20849)

Question 1085807: 1. Solve the following quadratic equation: 2x^2-32=0
2. Given the function f\left(x\right)=x^2+12x, which c-value could be added to both sides of the equation when solving by completing the square?
3. Use the quadratic formula to solve. 4x^2-3x-5=0
4. Solve : (x-1)^2-3=13
Click here to see answer by MathLover1(20849)

Question 1085869: please help thank you . a projectile is launched from a catapult with initial velocity 350ft/sec at an angle of 65 degrees assume that the projectile is launched in ground level. Find the position of the object after 4 sec.
Click here to see answer by ikleyn(52750)

Question 1085867: please help thank you. use a double angle identity to find the exact value 2 cos^2(pi/8)-1
Click here to see answer by ikleyn(52750)

Question 1085866: help me please. an employee looks out his office window at a factory across the street. He estimates his office building and the factory building are 60ft apart,the angle of depression to the base of the factory is 62 degrees, and the angle of elevation to the top of the factory building is 23 degree. How high above the ground is the employees office window?
Click here to see answer by ikleyn(52750)

Question 1085926: https://cedu-spw-p06.austin.utexas.edu/canvas-files/ALG-1B-66502/unit07/lsn04/U07L04EvGA9.pdf
I'm having trouble please help me
Click here to see answer by MathLover1(20849)

Question 1085949: The quadratic 4/3x^2+4x+$ can be written in the form a(x+b)^2+c, where a, b, and c are constants. What is abc? Give your answer in simplest form.
Click here to see answer by Boreal(15235)

Question 1085953: For what real values of c is x^2 + 16x + c the square of a binomial? If you find more than one, then list your values separated by commas.
Click here to see answer by Boreal(15235)

Question 1085950: For what negative value of k is there exactly one solution to this system of equations
y=2x^2+kx+6
y=-x+4
Click here to see answer by rapture(86)

Question 1085950: For what negative value of k is there exactly one solution to this system of equations
y=2x^2+kx+6
y=-x+4
Click here to see answer by ikleyn(52750)

Question 1085954: The quadratic x^2+1300x+1300 can be written in the form (x+b)^2+c, where b and c are constants. What is c/b?
Click here to see answer by rapture(86)

Question 1085954: The quadratic x^2+1300x+1300 can be written in the form (x+b)^2+c, where b and c are constants. What is c/b?
Click here to see answer by MathLover1(20849)

Question 1085868: 1. Find the area in simplified form for a rectangle with a length of \sqrt{24} and a width of \sqrt{18}
2. What is the area for a rectangle with a base of \sqrt{3}x^3y^2 and length \sqrt{6}xy^3.

Click here to see answer by rapture(86)

Question 1085964: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas. For example, to enter the solutions (2,4) and (-3,9), you would enter "(-3,9),(2,4)" (without the quotation marks).
Click here to see answer by josgarithmetic(39613)

Question 1085962: For what real values of c is 9x^2 + 16x + c the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.
Click here to see answer by josgarithmetic(39613)

Question 1085963: The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b?
Click here to see answer by Boreal(15235)

Question 1085963: The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b?
Click here to see answer by josgarithmetic(39613)

Question 1085963: The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b?
Click here to see answer by ikleyn(52750)

Question 1085961: For what real values of a is x^2 + ax + 25 the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.
Click here to see answer by ikleyn(52750)

Question 1085806: 1. Find the area in simplified form for a rectangle with a length of \sqrt{24} and a width of \sqrt{18}
2. What is the area for a rectangle with a base of \sqrt{3}x^3y^2 and length \sqrt{6}xy^3
Click here to see answer by Fombitz(32388)

Question 1086031: Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equation (x+a)^2 = b, where a and b are constants.
What is b?
Click here to see answer by josmiceli(19441)

Question 1086029: Suppose a and x satisfy x^2 + (1-1/a)x - 1 = 0. Solve for x in terms of a.
*That's a quadratic in x
Click here to see answer by MathLover1(20849)

Question 1086028: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas. For example, to enter the solutions (2,4) and (-3,9), you would enter "(-3,9),(2,4)" (without the quotation marks).
*That's a quadratic in x
Click here to see answer by Fombitz(32388)

Question 1086037: Janaina is trying to solve the following equation by completing the square: x^2+18x-9 = 0.She successfully rewrites the above equation in the following form: (x + b)^2 = c, where b and c are integers. What is the value of c?
Click here to see answer by Fombitz(32388)

Question 1086038: Po is trying to solve the following equation by completing the square: 49x^2+56x-64 = 0. He successfully rewrites the above equation in the following form: (ax + b)^2 = c,where a, b, and c are integers and a > 0. What is the value of a + b + c?
Click here to see answer by Boreal(15235)

Question 1086039: If the parabola y_1 = x^2 + 2x + 7 and the line y_2 = 6x + b intersect at only one point, what is the value of b?
Click here to see answer by Fombitz(32388)

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, 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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