Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 594556: When using factorizing/completing the square method to solve a quadratic equation, is it necessary that the co-efficcient of the first variable must be positive?
Click here to see answer by stanbon(75887)

Question 594580: What Is The Square Root of -3xSquared+200=8 ?
Click here to see answer by Alan3354(69443)

Question 594263: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by richard1234(7193)

Question 594701: Given that α and β are the roots of the quadratic equation, 3x�-2x-1=0 , find the value of:
-α+β
-αβ
-α�+β�
Click here to see answer by richard1234(7193)

Question 594480: This is a quadratic equation that I must solve.
15x-35y+90
I need all of the steps so I can understand it better for the next equation.
Click here to see answer by richard1234(7193)

Question 594724: What are the roots of the equation y=x^2+6x+8?
Click here to see answer by richwmiller(17219)

Question 594750: Can you help me solve for x in this equation?
-6x+6x^2=0
I think the first step is to set both sides to 0...
-6x=0, = (-6/-6x = 0/-6), x = 0
and 6x^2=0(But I do not know how to solve this side?

Is this correct? I get lost after this?
Thanks!!
Juanita
Click here to see answer by bucky(2189)

Question 594779: Hi. It would be a big help if you could answer this question:
An arch bridge's height above the ground, in feet, at a point x feet from it's center is h(x) = -0.00121246x� + 876.
What is the span of the arch at a height of 575 feet above the ground?
Click here to see answer by richwmiller(17219)

Question 594843: How do I figure f'(x) & f''(x) from this function....
f(x) = (x+3)^2/3
I have a problem with understanding exponential fractions....
Click here to see answer by AnlytcPhil(1806)

Question 594912: what are the solutions to this equation using the quadratic formula? X^+12=7x?
i have tried it by reordering it so its in the right format like thi x^2-7x+12=0
and i used the quadratic formula and i got the solutions 25,and 24 but i am not confident with the answers please tell me if im doing this right!!

Click here to see answer by scott8148(6628)

Question 594982: Please help me solve this problem.

I came up with as an answer. Can someone tell me if this is correct?
Click here to see answer by richwmiller(17219)

Question 594955: What are the y-inercepts of the quadratic equation -3(x-1)^2+12
Click here to see answer by Alan3354(69443)

Question 595234: a square with side length a, and a triangle whose base and height both have length b, have the same area. Write an equation for b in terms of a
Click here to see answer by jim_thompson5910(35256)

Question 595244: Not sure what type of problem this is, but is the instructions are to solve each problem. Here is the equation 3x2=-21x-18. here is my answer: 3x2+21x+18=0 3x2+3x+18x+18 3x(x+1) 18(x+1) (3x+18) (x+1) 3x+18=0;x+1=0; 3x=-18; x=-1;x=-6 Is this correct by chance?
Click here to see answer by scott8148(6628)

Question 595341: what is 112/70 as a percent

Click here to see answer by math-vortex(648)

Question 595753: This is the problem 16x squared b squared -64x
Click here to see answer by Alan3354(69443)

Question 595763: A baseball player hits a pop fly. It goes upward with an intial volocity of 30 meters per second. What is the altitude after 2 sec??
Click here to see answer by Alan3354(69443)

Question 595806: Decide how many solutions this equation has:
x2 - 2x + 1 = 0

Click here to see answer by stanbon(75887)

Question 595805: Find the x-intercepts of the graph of the equation:
y = x2 - 1

Click here to see answer by stanbon(75887)

Question 595801: Use the quadratic formula to solve the equation:
0 = x^2 - 5x + 6

Click here to see answer by richwmiller(17219)

Question 595923: PLEASE HELP WITH THIS EQUATION. WHICH OF THE FOLLOWINGS IS EQUAL TO THANKS
Click here to see answer by math-vortex(648)

Question 595947: how do i find the equations of these roots? 6,(-2)/(3)?
Click here to see answer by scott8148(6628)

Question 595963: how do i find the equations for these roots? (-3/4),-8
Click here to see answer by solver91311(24713)

Question 595964: how do i find the roots of this equation using the quadratic formula? x^2-(4/3x)+(1/3)=0
Click here to see answer by solver91311(24713)

Question 596008: Does the graph of the quadratic equation f(x)=-0.2x^2+12x+11 open up or down?

Click here to see answer by unlockmath(1688)

Question 596063: Please help me solve the problem:
12c^2+8c+1=0
Click here to see answer by jim_thompson5910(35256)

Question 596066: Please solve tis equation:
8p^2+2p-15=0
Click here to see answer by jim_thompson5910(35256)

Question 596109: I am in my last few weeks of my algebra class and it is getting really hard for me can someone please help me solve these problems?
1. For the first part of this worksheet, we�ll be looking at the equation
y = -16x� + 368x + 144
(a) +Does the graph of this equation open up or down? How do you know?
(b) Describe the shape of the graph.
(c) Will the graph of y = -16x� + 368x + 144 reach a maximum or a minimum?
(d) Find the x-coordinate of the vertex. Show your work!
(e) Find the y-coordinate of the vertex. Show your work!
(f) Find the discriminant for the equation -16t2 + 368t + 144 = 0
(g) How many solutions are there to the equation from part (f)? How do you know?
NOTE: You will find the solution(s) in part (h). In this part, you are just supposed to think about how many solutions there will be without finding the solutions first.
(h) Use the quadratic formula to determine solution(s) to the equation in (f). Give the exact solutions, in simplified form. Show your work!
(i) Find the decimal approximations for the solutions you found in (h).
My answers:
(a) The graph would open up because the equation is positive.
(b) The graph would be U shaped.
(c) Maximum
Click here to see answer by Alan3354(69443)

Question 596106: What Is The Slope Of 2x-y=-1?
Click here to see answer by math-vortex(648)

Question 596110: 2. Suppose a rocket is shot into the air with an initial speed of 368 feet per second. The height of the rocket (in feet) above the ground after t seconds is given by h = -16t2 + 368t + 144 where t=0 is the launch time.
(a) Will the rocket reach a maximum height or a minimum height? How do you know?
(b) Describe what happens to the height of the rocket over time.
(c) What is the vertex of the graph of h = -16t2 + 368t + 144 ?
(d) After how many seconds will the rocket reach its peak height?
(e) What will the height of the rocket be at its peak?
(f) Recall that you solved -16x2 + 368x + 144 = 0 in part 1(h,i). What will the solutions to -16t2 + 368t + 144 = 0 be?
(g) What do the solutions to the equation -16t2 + 368t + 144 = 0 represent?
(h) Is there a solution to the equation in 2(f) that doesn�t make sense in the context of the rocket problem? If so, explain why the solution does not make sense.
(i) At what time does the rocket hit the ground?
(j) What is the height of the rocket at time t=0? Did the rocket start out at ground level?

Click here to see answer by Alan3354(69443)

Question 596129: When dealing with the quadratic equation f(x)=-0.2x^2+12x+11, where the function represents the expected number of ticket sales each day, and x=1 is the day tickets go on sale.
My main question is, using this equation how can I determine the last day that tickets will be sold?
Click here to see answer by nerdybill(7384)

Question 596123: 9x2(power 2) + 6x = -1. Put in quadratic formula and solve
Click here to see answer by josmiceli(19441)

Question 596212: set h=0Trying to solve this multiple part problem, I have tried using the quadratic equation, I don't think I'm putting the numbers in the right place. I know the formula for height, not sure where to start.
Here's the problem: Guns on a battleship must fire their charges many miles. In order to do this the charge must be fired high up into the sky. Suppose that one such gun shoots a charge so that its initial height above the water is 50 ft and its initial upward velocity is 1000 ft/ sec.
1. How many seconds after it was shot will the charge hit the ocean?
2. Fifty seconds after being fired, how high above the water will the charge be?
3. How many seconds after it was shot will the charge first be 2000 ft high?
4. How many seconds after it was shot will the charge next be 2000 ft high?
5. What is the maximum height that the charge will reach?
6. How high above the water will the charge be in 10 seconds?
Click here to see answer by scott8148(6628)

Question 596345: A toy rocket is launched from ground level. Its distance in feet from the ground in t seconds is given by
s (t) = - 16 t 2 + 208 t
At what times will the rocket be 550 feet from the ground?
Click here to see answer by Alan3354(69443)

Question 596351: After having a pool built in their backyard, the Harrisons have contracted to have a fence installed around the pool. They want to use 300 ft of fencing, and they plan to attatch the fence to the house. The Back of the house is 90 ft long, but they have instructed the fencing co. to use whatever portion of the house will maximize the area of the rectangular enclosure.
I know how to maximize the area, the only thing that is tripping me up is the fact that one side can be any value from the 90 ft side of the house. How do you set up an equation like that?
Click here to see answer by Alan3354(69443)

Question 596350: Using the quadratic formula
When the sum of 1 and twice a negative number is subtracted twice the square of the number, 0 results. Find the number.

Click here to see answer by Alan3354(69443)

Question 596352: Twice the first number is increased by the second number is 16. Find the two numbers if the sum of their squares is a minimum.
Pleassse help
Click here to see answer by Alan3354(69443)

Question 596397: how do i write a quadratic equation from: two people drop rocks from different heights at the same time. the first from 400ft and the second from 160ft.write two functions that describe the heights of the rocks.?
Click here to see answer by josmiceli(19441)

Question 596394: Why is -16x^2-64=0 not a calculator problem?
Click here to see answer by richard1234(7193)

Question 596504: please help me solve this quadratic question because i forgot how to do it
x^2 - 6 = 0
Click here to see answer by stanbon(75887)

Question 596728: V(T) = 48t^(2 )
MIKE HAS A VERTICAL LEAP OF 42IN.WHAT IS HIS HANG TIME?
Click here to see answer by solver91311(24713)

Question 596811: solve the equation by the square root. if the equation has no-real number solution, write no solution
1. 6(x^2-2)=12
2. -5m^2=-125
3. 3r^2+27=0
4. 4=9k^2
5.4n^2=64

Click here to see answer by solver91311(24713)

Question 596867: -3(2+b)+4b(b+2)
Click here to see answer by jim_thompson5910(35256)

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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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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