Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 706949: x=15, y=-6
Click here to see answer by Alan3354(69443)

Question 707046: determine the value(s) of "k" for which there is one and only one real solution to the following quadratic: 10kx = -16x^2 - 25
Thank you
Click here to see answer by jsmallt9(3758)

Question 707142: 216 is 60% of?

Click here to see answer by Stitch(470)

Question 707166: Without solving, find the product and the sum of the roots for 4x^2-7x+3
I know that a=4 b=-7 & c=3, I also have the equation, x^2+(-7)/4x +3/4 but I have no idea where to go from there, So where do I go from there?

Click here to see answer by jsmallt9(3758)

Question 707084: The square of a certain number is 22 less than 13 times the original. Find the answer?
Click here to see answer by jsmallt9(3758)

Question 707165: 3q(q-2)=6
Click here to see answer by jsmallt9(3758)

Question 707182: Taylor has a box of coins that she uses when she plays poker with her friends. The box currently contains 44 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $4.37. How many quarters does she have in the box? Please explain how to solve!!!
Click here to see answer by stanbon(75887)

Question 706906: Solve by completing the square.

the solution set is {___}

Thank you for your help!!
Click here to see answer by jsmallt9(3758)

Question 707173: What is the store cost for a ring that has a selling price of $4500 with a 1400% mark up?
Click here to see answer by jim_thompson5910(35256)

Question 707187: The length of a rectangle is 1m less than twice its width, and the area of the rectangle is 36m^2. Find the dimensions of the rectangle.

Click here to see answer by jim_thompson5910(35256)

Question 707181: Caroline Case won $60,000 on a slot machine in Las Vegas. She invested part of the money at 2% simple interest and the rest at 3%. In one year, she earned a total of $1600 in interest. How much was invested at the 3% rate?
Please explain step by step how to solve thiS!
Click here to see answer by jim_thompson5910(35256)

Question 707306: The longer leg of a right triangle is ten less than three times the shorter leg. The hypotenuse is 4 more than the shorter leg. Please find the length of the shorter leg.
Click here to see answer by stanbon(75887)

Question 707478: 6x+1=x^2. .... Trying to solve by completing the square
Click here to see answer by josmiceli(19441)

Question 707544: Let
g(x) = 5x − 7 + |x + 4|.
Find all values of a which satisfy the equation
g(a) = 4a + 3.
(Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Click here to see answer by josgarithmetic(39614)

Question 707545: x^2-2x-13=0
Click here to see answer by vheroli(126)

Question 707705: How do you calculate the interest charge on a $5000 balance with your current 16.5% annual interest rate
Click here to see answer by stanbon(75887)

Question 707803: x2+4x-10=0
Click here to see answer by jim_thompson5910(35256)

Question 708082: How do I solve for x in this equation:
y=0.5x^3 when y=7
Click here to see answer by rfer(16322)

Question 708127: I need help on quadratic equations, . I have a couple of questions.
1) When c is positive and b is negative, what happens?
2) When c is negative and b is positive, what happens?
3) When c is negative and b is negative, what happens?
Thank you for your time.
Click here to see answer by josgarithmetic(39614)

Question 708195: vertex form of x^2-12x+108
Click here to see answer by nerdybill(7384)

Question 708305: How to find the root(s) of 80-x^2=0
And
How to simplify 4x^3+6x^2-14x/2x
Thank you!
Click here to see answer by jsmallt9(3758)

Question 708316: Can someone help me and tell me where I am going wrong in this problem?
3c+d / Cd^2 + c-d / c^2d
I have the LCD to be c^2d^2
and added it up to be (3c+d)(c-d) / c^2d^2
but my book says the answer should be (3c-d)(c+d) / c^2d^2

Click here to see answer by nerdybill(7384)

Question 708365: I am lost. How do I solve this? 3a / 4a-20 + 9a / 6a-30
Click here to see answer by solver91311(24713)

Question 708461: A student dropped a ball from the top of a 81-foot building. The height of the ball after t seconds is given by the quadratic equation h= -9t(squared) + 81. How long does it take the ball to hit the ground?
Click here to see answer by solver91311(24713)

Question 708364: Fine the real or imaginary solutions of each equation by factoring

Can you also explain how to get this? I don't understand this lesson.
Click here to see answer by ankor@dixie-net.com(22740)

Question 708577: Please help me solve this equation: 4x^9+6x^4
Click here to see answer by Alan3354(69443)

Question 708445: Please help me with this word problem: A large plywood box has a volume of 72 ft3. Its length is 9 ft greater than its height, and its width is 1 ft less than its height. What are the dimensions of the box?
What does x equal?
Click here to see answer by ankor@dixie-net.com(22740)

Question 708712:
One number is 4 less than three times a number. If the product of these two numbers is 84, find the numbers.
Click here to see answer by checkley79(3341)

Question 708810: how do i factor this h to the fourth-256.
Click here to see answer by solver91311(24713)

Question 708818: Could someone please help me with this problem... My book says the answer is 3 but I got -2x+29 so I obviously went way wrong somewhere.
2x+5/x+1 + x+7/x+5 - 5x+17/(x+1)(x+5)
Click here to see answer by solver91311(24713)

Question 708898: What is a quadratic equation in standard form that has the roots of -3 and 1/4?
Click here to see answer by solver91311(24713)

Question 708900: Write a quadratic equation in standard form that has the roots of -3 and 1/4.
Click here to see answer by solver91311(24713)

Question 708995: A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool?
i tried fractions like 1/6 and 1/x+3 but nothing is working for me
Click here to see answer by ankor@dixie-net.com(22740)

Question 709336: A graphing iron is thrown vertically to catch on a ledge 7.5 metres above the thrower. It`s height is give in meters and time in seconds. After being thrown the equation is given by h= -4.9t?2+11t+1.5. Will the graphing iron reach the ledge?
Can you please help me? Thank you so much in advance:)
Click here to see answer by ankor@dixie-net.com(22740)

Question 709189: Find the values of if the Quad. eqn. has 2 real and equal roots. Hence, find the corresponding root of the equation based on each value of that you have found.
Click here to see answer by jsmallt9(3758)

Question 709188: Show that the straight line will intersect the curve at two distinct point if . need . THANKS!
Click here to see answer by jsmallt9(3758)

Question 709320: A graphing iron is thrown vertically to catch on a ledge 7.5 metres above the thrower. It`s height is give in meters and time in seconds. After being thrown the equation is given by h= -4.9t?2+11t+1.5. Will the graphing iron reach the ledge?
Can you please help me? Thank you so much in advance:)
Click here to see answer by jsmallt9(3758)

Question 709684: the base and height of a triangle are (x+3)cm and (2x+5)cm respectively if the area of a triangle is 20 cm square , find x
Click here to see answer by nerdybill(7384)

Question 709676: find the whole number such that the twice its square added to itself makes 10

Click here to see answer by jsmallt9(3758)

Question 709675: find the whole number such that the twice its square added to itself makes 10

Click here to see answer by jsmallt9(3758)

Question 709069: a toy rocket is launched from a 144- foot cliff overlooking the ocean with an initial velocity of 128 feet per second the distance or height, s(measured in feet), of the rocket from the ground t second after it is launched can be calculated using the model s= 144+128t-16t^2
a) what is the height of the rocket 5 seconds after it is launched?

B) after how many second does the rocket splash in the water?

Click here to see answer by jsmallt9(3758)

Question 709926: To solve by completing the square, what value should you add to each side of the equation?
x^2+14x=-2
Click here to see answer by nerdybill(7384)

Question 710077: r^2+8=4
can you help me sove the question above?
Click here to see answer by checkley79(3341)

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