Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 33311: I am stuck on the following quadratic equation:
2x^2-3x-1=0
I move the 1 over like this:
2x^2-3x=1
and that's where I get stuck: how do you create a third term to the left side of the equation like that will later generate -3x? Do you take square half the value of the second term? (-3x / 2)^2, which results in 9/4x?
Thanks so much for your help.
Click here to see answer by stanbon(75887) |
Question 33304: I'm having difficulty solving the following quadratic equation:
(a-2 / a+2) - (a+2 / a-1) = (a^2-32 / a^2+a-2)
By finding the common denominator, I was able to reduce this equation down to:
a^2+7a=30
But at this point I am stuck. How do you proceed to get to the two values for a? I know you have to add something to both sides, and isn't it supposed to be half of the middle term squared? (7/2)^2 ? The book just provides the two final solutions for a without telling you how it got them.
Thanks for your help!
Click here to see answer by checkley71(8403) |
Question 33519: Quadrilateral- find the value of x. I have tried and tried to work this out and when I plug in my answer it doesnt figure. Please help I would appreciate it.
(x+30)+(x-55)+(x-45)+ x=360 Thank you so very much!!
Click here to see answer by Cintchr(481) |
Question 33583: Use the square root property to solve the equation, show steps and explain
x^2=36
(x^2-36)=0 Factor out the left-side
(x-6) (x+6)=0 (? lost after this point)
(x-6)=0 or (x+6)=0
Thank you
Click here to see answer by priya(51) |
Question 33585: Please check my work, am I doing this correctly?
Solve using the square root property:
x+8)^2=81
Þ ((x+8)2-81) = 0
Þ (x2+16x-17) = 0
Þ (x2-x+17x-17) = 0
Þ x(x-1)+17(x-1) = 0
Þ (x+17)(x-1) = 0
Þ (x+17) = 0 OR (x-1) = 0
Þ x = -17 OR x = 1
Click here to see answer by priya(51) |
Question 33634: Please check my work
Solve using the quadratic equation:
(3x^2-2x) + (-15x+10)=0
(3x^2 - 17x +10)= 0
(3x^2 -2x -15x +10)=0
x(3x-2) + (-5) (3x-2)=0
(x-5)(3x-2)=0
(x-5)=0 or (3x-2)=0
x=5 or 3x=2
x=5 or x=2/3
Click here to see answer by sarah_adam(201) |
Question 33247: A toy rocket is launched from a point 60m from a school building. The school building is 40m wide. On the other side of the building is a 15m wide parking lot and next to it is a pond that is 10m wide. The rocket is aimed over the building to land in the center of the pond, 120m away. The building is 30m tall. The rocket's trajectory should be as low as possible and the rocket should clear the building by at least 5m. What is the equation for the parabola formed by the trajectory. Graph the parabola.
Click here to see answer by Fermat(136)  |
Question 33681: A retailer spent $48 to purchase a number of special mugs. Two of them were broken i the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22. Construct an equation that will allow us solve for the number of mugs, denoted by n, that were originally purchased. If the price for n mugs is $48, how can we express the cost per mug?
Click here to see answer by Paul(988) |
Question 33685: I don't know how to solve x(to the fourth) minus (five x squared) plus four.
In school we did something called a diamond formula or something with a diamond and it makes everything easier but i don't understand. Can you explain to me how to solve this by the diamond formula. Thank you.
Click here to see answer by Earlsdon(6294) |
Question 33706: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions?
A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.
Click here to see answer by ntnk(54) |
Question 33706: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions?
A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.
Click here to see answer by Nate(3500) |
Question 33706: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions?
A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.
Click here to see answer by ice_water35(8) |
Question 33709: 6) If we apply the quadratic formula and find that the value of b^2 - 4ac equals zero, what can we conclude about the solutions?
A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.
Click here to see answer by venugopalramana(3286) |
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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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