Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 319365: Simplify the answer, round to the nearest hundreth, and type an integer or decimal.
QUESTION:
During the first part of a trip, a canoeist travels over 77 miles at a certain speed. The canoeist travels 11 miles on the second part of the trip at a speed of 5mph slower . The total time for the trip is 3 hours. What was the speed on each part of the trip?
Click here to see answer by solver91311(16897)

Question 319355: EXAMPLE - SQUARE ROOT Of -10, 6 SQRT OF 10
ANSWER - X^2 - 5 SQRT OF 10x - 60 = 0
(number 5 is on the outside of the SQRT. Maybe its a multiple? Wasn't sure how to explain.)
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in the form, ax^2 + bx + c = 0
QUESTION: SQRT of -7, 5 SQRT 7
Thank you so much!!!
Click here to see answer by stanbon(57422)

Question 319350: Type an exact answer using radicals as needed and use commas to separate answers. What is the solution? w =
w^4 - 2w^2 - 2 = 0
Click here to see answer by ankor@dixie-net.com(15667)

Question 319478: xy-6=30 where y-2

Click here to see answer by Alan3354(30993)

Question 319480: (x+15).=10 y. where y=5
Click here to see answer by unlockmath(1606)

Question 319579: Solve for x and show your work
3x-2(-50/19)=40
Click here to see answer by stanbon(57422)

Question 194712: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. And then rank them fastest to slowest using the problem numbers.
f(x) = 2x – 5
f(x) = x2 - 4x + 3
f(x) = x3 + 4x2 - 2x - 3
f(x) = 7x
f(x) = log x
Click here to see answer by erie_acebedo(2)

Question 319817: Solve the equation.
x^2 + 8 = 28
Click here to see answer by nerdybill(6963)

Question 319986: Give an example of a quadratic equation in standard form that passes through the points (0, -14), (7, -28) and (5, -4). None of the given points is the vertex.
I am so lost! I plugged the values of x and y into the standard form, but I don't know what to do from there!

Click here to see answer by scott8148(6628)

Question 319987: A motorist travels a distance of 120 miles. Had she increased her average speed by 10 mi/hr she would have cut 36 minutes off of her travel time. Find her average speed.
Click here to see answer by mananth(12270)

Question 319980: A square field had 5 meters added to the length and 2 meters to its width. The field then had an area of 130 meters squared. Find the length of a side of the original field.
Click here to see answer by ankor@dixie-net.com(15667)

Question 320183: Please explain how I may obtain the needed answer.
I have
(x+3)^2=-25
I thought
(X+3)*(x+3)=X^2+6x+9= -25 and moved into quadratic form by adding 25 to both sides. like so,
x^2+6x+34=0 then solve for X.
At this point I usually give the brain a break and solve using the TI89.
Problem is that it keeps telling me false instead of the needed, {-3+5i,-3-5i}
Can anyone tell me where I went wrong?
Thanks
Click here to see answer by stanbon(57422)

Question 319958: Write a quadratic equation using standard form ax^2+bx^+c=0 where 10 is the only solution.
Write a quadratic equation using standard form where 1 is the only solution.
Write a quadratic equation using standard form where -sqrroot10,3sqrroot10 are the only solutions.
Click here to see answer by ankor@dixie-net.com(15667)

Question 320250: A worker dropped a screwdriver from the top of an elevator shaft. Exactly 5 seconds later he heard the sound of the screwdriver hitting the bottom of the shaft. How tall is the elevator shaft? Explain why the solution is 132.7 feet.
I know I am to use the following formula: s = .5gt^2+bt+c, where
s = height of object above ground
g = 32 on Earth - gravity on earth
t = the time since the start of the motion
b = the velocity of the object when t = 0, the initial velocity
c = the height of the object when t = 0, the initial height
I don't know how to figure out what b and c are so I solve my problem, any one out there who can help me?
Click here to see answer by scott8148(6628)

Question 320233: x^2-3x+1=0
what is the formula
Click here to see answer by Alan3354(30993)

Question 320386: In which direction does the parabola for the quadratic equation y = -5x2 – 16x + 21 open?
Click here to see answer by nerdybill(6963)

Question 320390: Find where two parabolas y= -2(x-3)^2 + 4 and y=2(x-2)^2 -1 intersect each other.
I keep coming up with another quadratic equation instead of a point! I also tried sketching both parabolas, but the exact point of intersection is difficult to verify.
Click here to see answer by Fombitz(13828)

Question 320392: Convert the equation y(x)= -2(x-k)^2 + 4 into the standard form. Assume k is a constant whose value you do not know.
I keep ending up with an extra k that doesn't fit into the standard equation:
y(x)= -2(x-k)^2 + 4
= -2(x-k)(x-k)+4
= -2(x^2 -xk -xk +k)+4
= -2(x^2-2xk +k)+4
= -2x^2 +4xk +k +4 not quite standard form!
Click here to see answer by Fombitz(13828)

Question 320398: Find all solutions by factoring.
(x + 7)(x - 9) = 17
Click here to see answer by Fombitz(13828)

Question 320402: Solve the equation.
25a2 = (2a + 5)2
Click here to see answer by checkley77(12569)

Question 320403: Solve the equation.
(3x+2)=16
Click here to see answer by tshan2467(1)

Question 320399: Find all solutions by factoring.
(6x + 60)(x - 17) = (5x + 58)(x - 18)
Click here to see answer by mananth(12270)

Question 320461: Help please. I understand how to get the answers from quadratic equations. My problem is writing a quadratic equation from the solutions: 3+4i, 3-4i. This has me stumped.
Click here to see answer by ankor@dixie-net.com(15667)

Question 320538: Simplify how?!
[(-x to the 3rd power)to the 2nd power]to the 3rd power
Click here to see answer by Alan3354(30993)

Question 320559: help me solve equation (3x^2+49x+72) in form (3x+ ) (x+ )
Click here to see answer by jim_thompson5910(28598)

Question 320619: Two negative intergers have the sum of -13 and a product of 42. What are the interges?
Click here to see answer by solver91311(16897)

Question 320754: Find the vertex and type in an ordered pair.
Problem:

f(x) = x^2 - 8x - 1
Thanks in Advance!!
Click here to see answer by solver91311(16897)

Question 320766: Find the x and y intercepts.
Use a comma to separate answers or type N is there is no intercept.
Problem:
f(x) = -x^2 + 5x + 14

Thanks a lot!
Click here to see answer by solver91311(16897)

Question 320764: Find the vertex (ordered pair), the line of symmetry, and the maximum or minimum value of the quadratic function.
Problem:
f(x) = 5 - x^2
Thank you!!
Click here to see answer by solver91311(16897)

Question 320763: Find the vertex, line of symmetry, and the maximum or minimum value of the quadratic function.
Problem:
f(x) = -2x^2 + 2x + 9
Type in a simplified fraction
Thank you!!!
Click here to see answer by solver91311(16897)

Question 320758: Find the vertex and type in an ordered pair.
Problem:
f(x) = 3x^2 - 12x + 21
Thanks for your help!!
Click here to see answer by Fombitz(13828)

Question 320785: Any help with the following word problem would be great. I just really need the help setting up the problem.
A gardener has a rose garden that measures 30 feet by 20 feet. He wants to put a uniform border of pine bark around the outside of the garden. Find how wide the border should be if he has enough pine bark to cover 336 square feet.
Click here to see answer by Earlsdon(6290)

Question 320743: (1)What does the Principle of Zero Products state? How is it used to solve a quadratic equation?
(2)Explain how to complete the square on x2 + 14x. Then write the resulting perfect square trinomial as the square of a binomial.
Click here to see answer by Earlsdon(6290)

Question 320854: what if we have a common denominator, and we are subtracting?
For example:
4x - 3 3x - 4
------------ - -----------------
x - 5 x - 5
How would you proceed? What is your final answer?

Click here to see answer by jim_thompson5910(28598)

Question 320886: One leg of a right triangle is 7 cm less than the length of the other leg. The length of the hypotenuse is 13 cm. Find the lengths of the legs.
Click here to see answer by mananth(12270)

Question 320892: two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 2 meters wide and 18 meters long. How large is one of the square shed in meters?
Click here to see answer by mananth(12270)

Question 320755: Find the vertex and type in an ordered pair.
Problem:
f(x) = -x^2 + 4x + 5
Thanks very much!
Click here to see answer by Fombitz(13828)

Question 321011: I have tried and can't figure this one out. Please help.
x-5(sqrt x)+4=0
Click here to see answer by Fombitz(13828)

Question 321012: Complex Fraction: Problem type 2
Simplify as much as possible
w_____
w+5w
_______
1+4
_____
w+1
Click here to see answer by Fombitz(13828)

Question 321059: Can you please help me with this problem Simplify: (5c^2)(-6c^6d^3)
Click here to see answer by stanbon(57422)

Question 321059: Can you please help me with this problem Simplify: (5c^2)(-6c^6d^3)
Click here to see answer by JBarnum(2044)

Question 321057: "Can you Please simplify 6sqrt5*4sqrt10." i only got to 24sqrt50 and then i forget what to do!
Click here to see answer by stanbon(57422)

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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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, 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