Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 696680: Please I need help solving the following problem.
Suppose you hit a ball and the path of it's path follows the graph f(x)= -16x^2 +20x +3. How many seconds will it take for the ball to hit the ground? Round the answer to nearest second.
A method I was using to find the roots of the equation was to multiply ac, -16(3) = -48, so that way I try finding the factors of -48 that sum up to 20 so these factors can be used in the bionomials that create a product of the equation above--but it was here where I got confused. If there's another method to solve the roots of f(x)= -16x^2 +20x +3, that would be really helpful.
Click here to see answer by Alan3354(69443)

Question 27:
It has been years since I have had an algebra class. I cannot remember how to solve this problem. Thank You!
Click here to see answer by jam123(18)

Question 696741: The weight of a human fetus is given by the formula W=3(t^2), where W is weight
in grams and t is the time in weeks, 0 <= t <= 39. after how many weeks does the fetus weigh 300 grams?
Click here to see answer by nerdybill(7384)

Question 696766: One root of the equation x2+px+q=0 is the cube of the reciprocal of the other. Show that q4+q(2q-p2)+1=0
Click here to see answer by MathGeek87(9)

Question 92078: please help me solve this quadratic equation, Solve using completing the square, 3x^2 - 6x = 27

Click here to see answer by mathbird(71)

Question 170894: Please help show me how to solve this quadratic equation by completing the square.
m^2 = 8m + 3
Click here to see answer by mathbird(71)

Question 696796: Solve by quadratic formula:
1.2x^2+px+18=0
2.5px^2-8x+2=0
Thank you.
Click here to see answer by god2012(113)

Question 696853: Find values of a and k for which each parabola contains the given points
y-k = a(x+3)^2 ; (-5,1) (1,7)
Click here to see answer by lwsshak3(11628)

Question 696948: transform the length of a pavement exceeds four times its breadth by 3meter to algebraic equation
Click here to see answer by josmiceli(19441)

Question 697008: How do you graph y=2x^2+4x+3
Click here to see answer by Alan3354(69443)

Question 697039: Solve each equation by factoring.
1. 4x2 � 17x � 15 = 0
2. 10x2 + 19x + 6 = 0
3. Solve 3x2 = 4,800 by using square roots.
Click here to see answer by Alan3354(69443)

Question 697057: 10. a) Write a quadratic equation in the
form ax
2
bx c 0 with roots
of 6 and 7.
b) What would happen to the roots if
you multiplied both sides of the
equation in part a) by 3? Explain.
Click here to see answer by lwsshak3(11628)

Question 697093: Trying to solve Y=-2X^2+BX+5 Assume max value of X=2 Find B
I'm having problem expressing the problem in the Y=A(X-H)^2+K form. The first step of getting it to Y=-2(X-2)^2+K is where I'm having trouble. I can solve the problem once it is expressed in the form. I just don't know how to change one form to the other. I'm trying to brush up so I can help my daughter on her SAT practice tests. Thank you very much for any assistance you might provide.
Click here to see answer by nerdybill(7384)

Question 697060: 19. The length of a rectangular plot of land is
7 m greater than its width. The diagonal
is 8 m greater than the width of the plot
of land. What are the dimensions of the
plot of land?
Click here to see answer by htmentor(1343)

Question 697059: 14. The hypotenuse of a right triangle
measures 29 cm. One leg is 1 cm shorter
than the other. What are the lengths of
the legs?
Click here to see answer by RedemptiveMath(80)

Question 697148: solve by completing the square:

My work:
then do half of four which is 2, then do 2times 2 and get 4.

(x-2)(x-2)=-6
(x-2)=plus or mine
x=2 plus or minus
Click here to see answer by Alan3354(69443)

Question 697185: 3x^2-4x+2

Click here to see answer by jim_thompson5910(35256)

Question 697246: Kx^2+kx+5=0 what is the value of "k"
Click here to see answer by Alan3354(69443)

Question 697269: What is the domain of ?
my work
(x-2)=2
(x-3)=3
Check:
0=0
0=0
x cannot equal 2, x cannot equal 3
I'm not sure if this is the domain.
Click here to see answer by jim_thompson5910(35256)

Question 697245: Kx^2+kx+5=0 what is the value of "k"
Click here to see answer by MathLover1(20849)

Question 697061: 20. Ralph is opening a BMX bike repair shop.
His accountant models his profit, P, with
the equation P 1125(t - 1)2 - 4500,
where t is the number of years of
operation. During the first 5 years of
operation, when is Ralph�s shop predicted
to make a loss? a profit?
Click here to see answer by lynnlo(4176)

Question 697058: 12. a) Create an example of a quadratic
equation that can be factored and
solved with integer solutions.
b) Create an example of a quadratic
equation that can be factored and
solved with non-integer solutions.
Click here to see answer by lynnlo(4176)

Question 697410: fareed earned rs.36000 by working a part time for 9 months and full time for 2 months.at the same monthly wages ghyas earned Rs.31200 by working part time for 10 months and full time for 1 month.find the monthly wages for each type of work. ?
Click here to see answer by josmiceli(19441)

Question 697421: a) Solve the equation y2+3y+2=0.
How is the equation y2+3yx+2x2=0
related?
b) Solve for y in terms of x.
i)y2+3yx+2x2=0
ii) 5y2-6yx-8x2=0
iii)1/9y2-1/3yx+1/4
Click here to see answer by Alan3354(69443)

Question 697482: What is the quadratic equation that has a one root of 1+2i?
my work:
(1+2i)+(1-2i)= 2
(1+2i)(1-2i)= =1+4=5
a=1 b=-2 c=5

I'm not sure if i found the answer correctly.
Click here to see answer by jim_thompson5910(35256)

Question 697487: what types of roots does have?
my work:
a=1
b=-6
c=10
4ac=40

=2

cancel the 2's out and simplify the 6. final answer:
3+ or - i
I know I found the roots. Because of the i does this mean the roots are irrational?
Click here to see answer by Positive_EV(69)

Question 697489: Find the complex zeros of the polynomial function. Write f in factored form.

Use the complex zeros to write f in factored form.
Click here to see answer by jsmallt9(3758)

Question 697499: factorise

Click here to see answer by MathLover1(20849)

Question 697499: factorise

Click here to see answer by lynnlo(4176)

Question 697869: I am supposed to solve 3x^2-17x+5 by graphing and I am having trouble finding the zeros can you please help me?
Thanks!
Click here to see answer by stanbon(75887)

Question 697929: how to factor 4x^2-2x+7
Click here to see answer by jim_thompson5910(35256)

Question 697929: how to factor 4x^2-2x+7
Click here to see answer by Alan3354(69443)

Question 697910: X^2=4x-4
Click here to see answer by checkley79(3341)

Question 698014: I am so stumped on this I have two problems actually on my homework I have no idea where to start or even know how to attempt...
1. Given the following quadratic equation, find a. the vertex b. the axis of symmetry c. the intercepts
d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. Graph the function.
y=2x^2+12x+20
2.Given the following polynominal, find
a. the zeros and the multiplicity of each
b.where the graph crosses or touches the x-axis
c. number of turning points
d. end behavior
f(x)=-x^2(x+6)^3(x^2-1)

Click here to see answer by solver91311(24713)

Question 698152: A rocket is launched from atop a 54-foot cliff with an initial velocity of 119 feet per second. The height of the rocket t seconds after launch is given by the equation h = �16t2 + 119t + 54. Graph the equation to find out how long after the rocket is launched it will hit the ground. Estimate your answer to the nearest hundredth of a second.
Click here to see answer by josmiceli(19441)

Question 698115:
Click here to see answer by strawberrygirl183(35)

Question 698261: second number is 5 less than the first,thorn number is 1 more than twice the first, if the third number is 20 more than the second what are the three numbers?
could you please explain how to do these type of problems if you can.

Click here to see answer by ankor@dixie-net.com(22740)

Question 698472: 2x-8x+14=0
Click here to see answer by jim_thompson5910(35256)

Question 698364: X^(2/3)-6x^(1/3)+5
Click here to see answer by KMST(5328)

Question 698643: solve for the roots of the equation -5p[p]+6p+11
Click here to see answer by stanbon(75887)

Question 698631: The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?
Click here to see answer by checkley79(3341)

Question 698648: which of the following is equivalent to h(m+1)?
(a) g(m)
(b) g(m)+ 1
(c) g(m)-1
(d) h(m)+1
(e) h(m)-1
Click here to see answer by MathLover1(20849)

Question 698682: How do you factor the trinomial: 3(x+2)^2+12(x+2)-15
Thank you!
Click here to see answer by edjones(8007)

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, 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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, 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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, 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