Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 912647: ax^2+(a+1)x+(a-1) = 0
I need to solve this equation for x. I've been trying to factor it to no avail... Honestly I don't even know where to start. I tried factoring out an x, only to realize that there is no x in the last term. I'm so stuck, please help!
Click here to see answer by richard1234(7193)  |
Question 912647: ax^2+(a+1)x+(a-1) = 0
I need to solve this equation for x. I've been trying to factor it to no avail... Honestly I don't even know where to start. I tried factoring out an x, only to realize that there is no x in the last term. I'm so stuck, please help!
Click here to see answer by josgarithmetic(39613) |
Question 913364: 1. a person with a monthly income Rs.1056 spends as much in 4 months as he earns in three. after 12 years he divides his savings among his three children in such a manner that the eldest has twice as much as the second & thrice as much as the youngest. how much did each receive?
Click here to see answer by stanbon(75887) |
Question 914436: Given these two equations : f(x)=x^2-6x+9 and g(x)=-3x-5, change the slope of the line so that it will intersect the parabola in two locations.
What I have done so far:
Let f(x)=g(x)
x^2-6x+9=-3x-5
x^2-3x+14=0
Then I calculated the discriminant to see how many solutions it would have.
D=b^2-4ac
D=(-3)^2-4(1)(14)
D=9-56
D=-47
Since the discriminant is -47, therefore there are no real solutions to x^2-3x+14=0, which means that f(x) and g(x) never intersect.
What I did for the second part was represent the slope of the second equation with the variable "m".
f(x)=x^2-6x+9
g(x)=mx-5
Let f(x)=g(x)
x^2-6x+9=mx-5
x^2-6x-mx+9+5=0
x^2-(6-m)x+14=0
a=1, b=-6-m, c=14
Sub a, b and c into discriminant equation
D=b^2-4ac
D=(-6-m)(-6-m)-4(1)(14)
D=36+6m+6m+m^2-56
D=m^2+12m-20
This cannot be factored, so I don't know what to do next!
Thanks
Click here to see answer by ewatrrr(24785)  |
Question 915444: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor each polynomial by factoring out the opposite of the GCF:
-28a^5 - 42a^4 + 14a^3
Click here to see answer by josgarithmetic(39613) |
Question 915449: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor by grouping:
6a^3 - a^2 + 18^a - 3
Click here to see answer by lwsshak3(11628) |
Question 915633: Suppose the function h=-16t^2+38t models the height h in feet of a ball at a time t in seconds. Can the ball reach 25 feet? 20ft? What is the max height of the ball and how long will it take to get there? Please show work!
Click here to see answer by josmiceli(19441)  |
Question 915746: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Choose the correct method to factor each of the following:
6t^2 - 18t - 24
Click here to see answer by jim_thompson5910(35256) |
Question 915744: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Choose the correct method to factor each of the following:
-r^2 + 14 - 45
Click here to see answer by josgarithmetic(39613) |
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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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