Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 47511: A skin heals according to N(t)+N(o)e^0.02t, where N is the number of square centimeters of unhealed skin t days after an injury, and N(o) is the number of square centimeter covered by the original wound. How many days (to the nearest tenth ofa day) will it take for 50% of the wound to heal?
Click here to see answer by stanbon(69061) 
Question 47398: This is for an exam. I need some help on Solving a quadratic equation with imaginary roots. Find all real or imaginary roots of:
3x^2+4x+4=0
As an example a similar problem: x^2+4x+5=0 had a solution of: x= 2+i or 2i
Thanks
Click here to see answer by stanbon(69061) 
Question 47975: A 5.6 feet tall woman is shooting a free throw. The path of the basketball is parabolic in shape and the ball reaches its maximum height of 11.5 feet when the ball is 10 feet from the player. (i) Find the equation for the path of the ball. Let x be the horizontal distance from the shooter, and y be the height of the ball. (ii) the ball hits the front of the rim, which is 10 feet high. How far is the shooter from the rim?
Click here to see answer by stanbon(69061) 
Question 48198: Time to Swing:
The period T (time in seconds for one complete cycle) of a simple pendulum is related to the L (in feet) of teh pendulum by the formula 8T^2=pie^2L. If a child is on a swing with a 10foot chain, then how long does it take to complete one cycle of the swing.
This problem is really throwing me off and it has a lot to do with the "pie." Any suggestions?
Click here to see answer by stanbon(69061) 
Question 48259: Alice wants to buy a mat for a photograph that measures 14 in. by 20 in. She wants to have an even border around the picture when it is mounted on the mat. If the area of the mat she chooses is 352 in.squared, how wide will the border be?
Click here to see answer by checkley71(8403) 
Question 48318: Given a table of x and F(x) values how would you find the quadratic equation that describes it?
x 4, 3, 2, 1, 0
y 1, 0, 3, 8, 15
Since when x=0, y=15; I know that the constant term in the quadratic equation must be 15. Also I know that one of the roots is 3 because when y=0, x=3. Additionally I have found that the second difference beteen the "y" values is always +2. (pattern of change is 2). I however, do not know how to use this piece of information to solve the problem. I have to write the quadratic equation that describes the relationship. I know that the relationship is quadratic because the second difference is a constant term  2. Please help. Thank you for your time and help.
Click here to see answer by longjonsilver(2297) 
Question 48346: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
x2 + 6x  7 = 0
z2 + z + 1 = 0
(3)1/2y2  4y  7(3)1/2 = 0
2x2  10x + 25 = 0
2x2  6x + 5 = 0
Click here to see answer by venugopalramana(3286) 

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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