Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 68720: On this problem, my instructor asks that we use the Pythagoreans Theorem.
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the
rectangle?
I have come up with L = 2.44 cm and W = 1.44 cm. Is this correct???
Click here to see answer by ptaylor(2048)

Question 68718: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s. When will the ball reach a height of 80 m?
I have come up with 5.583 seconds. Is this the correct answer??? This is the equation that I used:
-10T^2 + 20T + 100 = 80. Is this right??? I need some advice on this one, please.
Click here to see answer by Earlsdon(6287)

Question 68862: I am having trouble with this equation please explain THANK YOU
Click here to see answer by stanbon(57290)

Question 68904: This problem is on a quadratic equation assignment and I do not know how to set it up.
The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 99 cm^2, find both dimensions of the rectangle to the nearest thousandth.
Can someone please give me a little guidance on this problem????
Click here to see answer by rmromero(383)

Question 68905: The height h in feet of an object after t seconds is given by the function
h = –16t2 + 60t + 9.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
I have come up with 3.894 sec. Is this correct????
Click here to see answer by tutorcecilia(2152)

Question 69008: Solve the following equation for x:
5(x – 2)^2 = 3
Express your answer(s) in both "simplified radical" form, and in decimal form.
I came up with x=2+or-sqrt(3/5). Could someone please check this one for me. Thanks.
Click here to see answer by Nate(3500)

Question 69007: Solve the following equation for x:
x^2 + 5 = 21
Express your answer(s) in both "simplified radical" form, and in decimal form.
I came up with x=4 and x=sqrt16. Would this be correct.
Click here to see answer by Nate(3500)

Question 69042: X2-6=5X
Click here to see answer by ptaylor(2048)

Question 69043: X2-6=5X
Click here to see answer by ptaylor(2048)

Question 69265: 25 if x squared-x-6=0 then x is: A) -2 or 3 B) -1 or 6 C) 1 or -6 D) 2 or -3
Click here to see answer by ptaylor(2048)

Question 69253: The length of a rectangle is 4 cm more than 2 times its width. If the area of the rectangle is 74 cm2, find the dimensions of the rectangle to the nearest thousandth.
The answer that I have figured is w=5.165 and L=14.330 and I have no idea if this is correct. Can I get a little help with this problem. Thanks.
Click here to see answer by ptaylor(2048)

Question 69255: Solve. –9(x – 3)^2 = –7
Another difficult problem that I need help with, please.
Click here to see answer by checkley75(3666)

Question 69285: If x=3 and x=-5, then form a quadratic equation.
Click here to see answer by stanbon(57290)

Question 69251: Solve by completing the square.
4x^2 = 2x - 3 = 0
I have worked this problem three times now and can not figure it out. Could somebody please help me?????
Click here to see answer by ankor@dixie-net.com(15646)

Question 69304: Write the quadratic equation, in simplest form with roots of -3 and 5/7
Click here to see answer by ptaylor(2048)

Question 69254: Solve by completing the square.
4x^2 + 2x – 3 = 0
Hellllpppp, pleeeeeaaaaase!!!
Click here to see answer by jim_thompson5910(28545)

Question 69317: Please help to solve :
3x - 2 / 7 - x/4 - x - 3/2 = 1
Click here to see answer by checkley75(3666)

Question 69252: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 30t + 3.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
I wish that I knew how to do this problem!
Click here to see answer by jim_thompson5910(28545)

Question 69392: Write three quadratic equations, with a,b and c (coefficients of x^2,x and the constant) as;
1. Integars
2. Rational numbers
3. Irrational numbers
Click here to see answer by funmath(2925)

Question 69393: 25 If x^2-x-6=0 then x= ?
Click here to see answer by funmath(2925)

Question 69502: *Find the zero's for the ff quadratic equation:
2x^2-x+8=0

Click here to see answer by Nate(3500)

Question 69502: *Find the zero's for the ff quadratic equation:
2x^2-x+8=0

Click here to see answer by stanbon(57290)

Question 69473: Solve (x + 5)^2 = 3
Can anyone help me on this please? Thank you so much!
Click here to see answer by hailu(13)

Question 69556: Please help me solve the equation
Thanks
Click here to see answer by Edwin McCravy(8901)

Question 69705: Hi, can you help me solve an Equation Quadratic in Form?
the Equation is
Click here to see answer by stanbon(57290)

Question 69720: Question: "A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out? When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?"
Gracias!

Click here to see answer by stanbon(57290)

Question 69719: "Rita rows 12 km upstream and 12 km downstream in three hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream."
Thanks.
Click here to see answer by checkley75(3666)

Question 69717: Help needed please.
Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by checkley75(3666)

Question 69718: Guidance it needed with this problem please.
"Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by %5. How many students attended the get-together?"
Click here to see answer by ankor@dixie-net.com(15646)

Question 69744: I need to know how to rewrite quadratic functions in turning point form.
Click here to see answer by stanbon(57290)

Question 69774: Please someone help me! I need to rewrite this function in turning point form
y=x^+4x+3
Click here to see answer by stanbon(57290)

Question 69847: how can i use pascals triangle and permutations and combinations together or separately to help me complete (a+b)^n were a and b are constant values and n is any power.
Click here to see answer by stanbon(57290)

Question 69838: Write the equation of the line passing through (3, –7) and (–6, –7).
Click here to see answer by checkley75(3666)

Question 69987: HELP ME SOLVE THIS PROBLEM AND GRAPH IT -X^2+7X-10=0
Click here to see answer by jim_thompson5910(28545)

Question 69992: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. Thank you in advance for the help!
Click here to see answer by stanbon(57290)

Question 69956: x^2-5x-14=0
Click here to see answer by gsmani_iyer(180)

Question 70150:
Click here to see answer by Edwin McCravy(8901)

Question 70329: x^2+9x+14=0
Click here to see answer by stanbon(57290)

Question 70511: x-one whole number three over five 1 3/5 = two whole number seven over ten 2 7/10
Click here to see answer by checkley75(3666)

Question 70598: Hi, I'm studying for a test, and I need help with this problem.
Find all real solutions (a,b are positive constants)

I know that it needs to be solved by factoring, completing the square, or the quadratic formula, but don't know where to start.
Thanks!

Click here to see answer by Earlsdon(6287)

Question 70596: what happens to a second degree when a, b, and c changes?
Click here to see answer by stanbon(57290)

Question 70613: draw the line using the slope y-intercept in the equation of the line -3x+y=6
Click here to see answer by bucky(2189)

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