Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 470506: use synthetic division to divide x^4+4x^3+6x^2+4x+1 by x+1
Click here to see answer by stanbon(57940)

Question 470543: please help me solve this! solve x^2 +7x-4=0
Click here to see answer by mananth(12270)

Question 470621: Find the solutions to the equation below. Check all that apply.
4x^2 + 4x + 1 = 0
Click here to see answer by sofiyac(695)

Question 470590: y=-x^2+20x-4
Click here to see answer by sofiyac(695)

Question 470590: y=-x^2+20x-4
Click here to see answer by Alan3354(31487)

Question 469744: 1. y>-2+3
2.2x-2y less than 6
3.-y<-x
4. x more than 5
4x+3y more than 6
Click here to see answer by sofiyac(695)

Question 470783: Give exact and approximate solutions to three decimal places
y^-20y+100=4
Click here to see answer by algebrahouse.com(1079)

Question 470781: Solve by creating the square
x^2+2x-3=0
^means it is being raised to that power, so it is x squared
Click here to see answer by mananth(12270)

Question 470791: Determine the nature of the solutions of the equation
y^2=3/5 y+2/3
^means it is raising to that power and / represents fractions. so it is 3(numerator) over 5(denominator) same with the other fraction
Click here to see answer by mananth(12270)

Question 470745: During the first part of a trip, a canoeist travels 90 miles at a certain speed. The canoeist travels 12 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hrs. What was the speed on each part of the trip?
1.Speed of 1st part of the trip?
2.Speed of 2nd part of the trip?
Click here to see answer by mananth(12270)

Question 470789: Find and label the vertex and the line of symmetry. Graph the function
f(x)=2(x-2)^2
^means it is raising the that power
Click here to see answer by jim_thompson5910(28696)

Question 470798: During the first part of a trip, a canoeist travels 73 miles at a certain speed. The canoeist travels 14 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?
1.Speed of 1st part of the trip?
2.Speed of 2nd part of the trip?
Click here to see answer by mananth(12270)

Question 470833: x^2-5x=9 the solution set is { }
Click here to see answer by Tatiana_Stebko(1326)

Question 470845: Solve (x+20)(x-19)(x+19)>0 The solution set is {x|_}
Click here to see answer by lwsshak3(6742)

Question 470961: What are the solutions of 3x2 + 6x + 6 = 0?

Click here to see answer by MathLover1(6801)

Question 470988: The solve and graph the solution set (x +2)(x-20)(x+1)>0 {x|_}
Click here to see answer by jim_thompson5910(28696)

Question 470988: The solve and graph the solution set (x +2)(x-20)(x+1)>0 {x|_}
Click here to see answer by lwsshak3(6742)

Question 470787: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function
f(x)=4x^2-40x+102
Click here to see answer by lwsshak3(6742)

Question 471037: During the first part of a trip, a canoeist travels 83 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 2 hours. What was the on each part of the trip?
The speed of the first part of the trip was ___mph.
(Simplify your answer. Type an integer or a decimal. Round to the nearest hundredth.)
The speed of the second part of the trip was __ mph.
(Simplify your answer. Type an integer or a decimal. Round to the nearest hundredth.)
Click here to see answer by jorel1380(2518)

Question 471052: The width of a rectangle is 1 ft less than the length. The area is 2 ft^2. Find the length and the width.
^means it is raising to that power
Click here to see answer by algebrahouse.com(1079)

Question 471053: Give exact and approximate solutions to 3 decimal places
x^2+7x-3=0
^means it is raising to that power
Click here to see answer by ccs2011(207)

Question 471134: 2) Solve for x.
5x^2=-19x-12
___________________________________________________________________________________
3) f(x)=-(x+2)^2-7
The vertex is: _____ (type an ordered pair)
The line of symmetry is x=_____
The maximum and minimum value of f(x) is______
The value, f(-2)=-7 is _____
a)Maximus
b)Minimum
_______________________________________________________________________________
4) Solve the formula for the given letter. Assume all variables represents nonnegative numbers.
a^2+q^2=g^2,for a
Choose the correct value for
1)a –√(g^2-q^2 )
2)√(g^2-q^2 )
3)g^2-q^2
______________________________________________________________________________
5)Determine the nature of the solutions of the equations.
y^2=4/7 y+1/2
Choose the correct answer below:
a) The equation has one real solution
b) The equation has two real solutions
c) The equation has two non-real solutions
______________________________________________________________________________
7) Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
f(x)=1/3(x+2)^2+3
The vertex is____(type an ordered pair)
The line of symmetry is x=_____
What is the maximum/minimum value of f(x)?_____
Is the value, f(-2)=3 a minimum or maximum?
a)Maximum
b)Minimum
________________________________________________________________________
8) Determine the nature of the solutions of the equation.
x^2-4x+4=0
What does the equations have?
a)Two real solutions
b)One real solution
c)Two non-real solutions
_______________________________________________
9) Give exact and approximate solutions to three decimal places
x^2-5x+3=0
The exact solutions are x=____
The approximate solutions to 3 decimal places are x=____
________________________________________________________________________________
10) Solve by completing the square.
x^2+5/2 x=5
What is the solution? X=_____
__________________________________________________
11) A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80 ft of fence? What should the dimensions of the garden be to given this area.
The maximum area that the farmer can enclose with 80 ft of fence is ___ sq ft.
The dimensions of the garden to give this area is 40 ft by ___ ft
___________________________________________________________________________
12)Find and label the vertex and the line of symmetry.
f(x)=-3(x+2)^2
The vertex is _____(type an ordered pair)
The equation of the line symmetry is x=____
__________________________________________________________________
13) Find and label the vertex and the line of symmetry.
f(x)=1/4 x^2
The vertex is _____(type an ordered pair)
________________________________________________________________________
14) The width of a rectangle is 1 ft less the length. The area is 6 ft^2. Find the length and the width.
The width is ___ ft
The length is ____ft
__________________________________________________________
15)Find the vertex, the line of symmetry, the maximum or minimum value of the quadractic function
f(x)=x^2-8x-4
What is the vertex?___(type an ordered pair)
What is the equation of the line of symmetry?____
What is the maximum/ minimum of f(x)?_____
Is the value, f(4)=-2 a minimum or maximum?
_______________________________________________________________________
16)A student opens a mathematics book to two facing pages. The product of the page number is 930. Find the page numbers.
The first page is___
The second page is ____
___________________________________________________________________________
17) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function.
f(x)=3x^2-6x+6
The vertex is___(type an order pair)
Choose the correct line of symmetry below.
a)Y=3
b)X=1
c)Y=-3
d)X=-1
The maximum/ minimum of f(x) is_______
Is the value, f(1)=3 a minimum or a maximum?_________
___________________________________________________________________
18) Solve 3x^2-7x-13=0
Find the x- intercepts of f(x)= 3x^2-7x-13
What are the solutions? X=______ (type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed)
What are the x- intercepts?_____( Type ordered pairs. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed)
_______________________________________________________________________
19) What a quadratic equation in the variable x having the given numbers as solution. Type the equation in standard form,ax^2+bx+c=0
Solution:5, only solution.
The equation is ___=0
______________________________________________________________________
20)Find the vertex, line symmetry, the maximum or minimum value of the quadratic function.
f(x)-2x^2+2x+10
The x- coordinate of the vertex is___( type a simplified fraction)
The y-coordinate of the vertex is___(type a simplified fraction)
The equation of the line symmetry is x=____(Type a simplified fraction)
The maximum/ minimum of f(x) is ____(Type a simplified fraction)
The value, f(1/2)=21/2 is?
a)Maximum
b)Minimum
_____________________________________________________________
21) Find the x and y intercepts
f(x)=16x^2+8x+1
The y intercept is ___( Type an ordered pair)
The x intercept is ___(Type an ordered pair)
___________________________________________________________________
22)Give exact and approximate solutions to three decimal places.
x^2+16x+64=16
What are the exact solution? X=____ (type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.
___________________________________________________________
23) Give exact and approximate solution to three decimal places.
(x+3)^2=64
What are the exact solutions? X=____(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use comma to separate answers as needed)
There are no approximate solutions since the solution are intergers.

Click here to see answer by Alan3354(31487)

Question 471153:

Thank you.
Click here to see answer by Theo(3504)

Question 471154:
Click here to see answer by Tatiana_Stebko(1326)

Question 471220: I am stuck on 3 last questions for my practice exam and was hoping someone can show me steps to take to solve these problems. I do not expect answers, I just do not understand the steps to take. Please help!
Solve:
x^2+2x-4=0
b^2+3b-10=0
r^2-5r-24=0
Click here to see answer by MathLover1(6801)

Question 471340: -10y^3+25y^2+30y^4=0 need to figure out what y equals....tried rewriting the problem as 5y^2(6y^2-2y+5)...can not figure out how to factor it all the way to 0 and get what y equals. please help
Click here to see answer by Alan3354(31487)

Question 471328: three years ago,
a father was four times as old as his daughter is now.the product of their ages is 430.calculate th present age of the daughter and the father

Click here to see answer by Alan3354(31487)

Question 471274: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution: 7, only solution
Click here to see answer by Alan3354(31487)

Question 471331: an artifact was found and tested for its carbon-14 content. If 81% of the original carbon-14 was still present, what is it probable age(to the nearest 100yrs)? use that carbon-14 has a half-life of 5730 yrs.
Click here to see answer by ankor@dixie-net.com(15745)

Question 471368: Give exact and approximate solutions to three decimal places
(x-6)^2=18
Click here to see answer by jorel1380(2518)

Question 470734: can you give me the steps to plot the quadratic formula in calculator to get answer?
Click here to see answer by richard1234(5390)

Question 471343: During the first part of a trip, a canoeist travels 88 miles at a certain speed. The canoeist travels 19 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 2 hrs. What was the speed on each part of the trip?
1.Speed of 1st part of the trip?
2.Speed of 2nd part of the trip?''.

Click here to see answer by mananth(12270)

Question 471502: find the coordinates of the points of intersection of the parabola y=x2 and the line y=x+2
Click here to see answer by Edwin McCravy(8999)

Question 471488: Please provide detailed steps to solving the following word problem:
A ball is thrown upward with an intial velocity of 14 meters per second (mps) from a cliff that is 70 meters high. The height of the ball is given by the quadratic equation h = -4.9t^2 + 14t + 90 where h is in meters and t is the time in seconds since the ball was thrown. Find the time that the ball will be 20 meters from the ground...rounded to the nearest tenth of a second
Click here to see answer by ankor@dixie-net.com(15745)

Question 471511: Find all intercepts for the graph of the quadratic function.
f(x) = 5x2 – 38x + 21
Click here to see answer by jorel1380(2518)

Question 471514: Find the vertex and intercepts of the function f (x) = x2 + x − 2
Click here to see answer by jorel1380(2518)

Question 471515: Complete the ordered pair so that it satisfies the given equation. Match your result to the
correct answer below.
s = –16t2 + 48t, (3, )
Click here to see answer by ewatrrr(10682)

Question 471436: 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 richard1234(5390)

Question 471543: two positive number differ by 7 and the sum of their square is 169. find the numbers
Click here to see answer by richard1234(5390)

Question 471545: help me solve this log equation....
2(3)^ + 1=0
where ^ = to x power
Click here to see answer by Alan3354(31487)

Question 471615: how do you solve x2+16x+4=0
Click here to see answer by jim_thompson5910(28696)

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