Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 196508: Please help me solve this equation:
Click here to see answer by ankor@dixie-net.com(22740)

Question 196540: Solve by completing the square:
x^2 + 8x + 13 = 0
Click here to see answer by josmiceli(19441)

Question 196542: Solve using the quadratic formula:
x^2 � 3x � 23 = 5
Click here to see answer by edjones(8007)

Question 196541: Solve using the quadratic formula:
3x2 � 2x = 15x � 10

Click here to see answer by jim_thompson5910(35256)

Question 196541: Solve using the quadratic formula:
3x2 � 2x = 15x � 10

Click here to see answer by checkley77(12844)

Question 196505: Hello!
I'm having trouble getting the correct answer for this problem with the quadratic formula.
Find all solutions of the equation and express them in the form a + bi.
4x^2-8x+7=0
thanks!
Click here to see answer by jim_thompson5910(35256)

Question 196504: Hello!
I'm having trouble getting the correct answer for this problem with the quadratic formula. I keep getting the answer -1+2i and -1-2i
Find all solutions of the equation and express them in the form a + bi.
x^2+2x+2=0
Click here to see answer by jim_thompson5910(35256)

Question 196635: Hi!
On the following problem I keep getting the incorrect answer. I think I'm close to the right answer just making a small error somewhere. Can you help me?
Solve the equation for the variable x. The constant a represents a positive real number.
a^3x^3 + 64 = 0
Click here to see answer by Alan3354(69443)

Question 196637: Solve using the quadratic formula:
x squared= 8x-16
I am really confused, because this doesn't really follow the formula.
Thanks in advance!! :)
Click here to see answer by jim_thompson5910(35256)

Question 196660: What is the vertex? I was taking onilne tests, and it says: name the vertex. What is the vertex?
Example?
Thanks
-Confused
Click here to see answer by jim_thompson5910(35256)

Question 196658: Please help me solve the following equations by using the method of factorization.

1) Solve: 2x^2 - 7x - 15 = 0 using the method of factorization. ( Solve by factoring).

2) Solve: (5x + 2)^2 = 9

3) Solve: x^2 - 12x + 32 = 0.

4) Solve: x/(x - 1) = (x + 5)/x

Click here to see answer by vleith(2983)

Question 196687: Find a quadratic equation with roots -1 + 4i and -1 - 4i.
Click here to see answer by stanbon(75887)

Question 196701: Solve using the quadratic formula:
4x squared+4x=15
I have tried to plug this into the formula, but I don't know if I have to do anything special to the 4x squared, since there is a 4 in there.
Thanks in advance!! :)
Click here to see answer by Alan3354(69443)

Question 196755: Solve using the quadratic formula:
x2 � 3x � 23 = 5

Click here to see answer by checkley77(12844)

Question 196754: Solve using the quadratic formula:
3x2 � 2x = 15x � 10

Click here to see answer by checkley77(12844)

Question 196750: Solve by factoring:
x2 � 9x = -20

Click here to see answer by checkley77(12844)

Question 196753: Solve by completing the square:
x^2 + 8x + 13 = 0

Click here to see answer by J2R2R(94)

Question 196752: Solve using the square root property:
(x + 8)2 = 81

Click here to see answer by rk433(1)

Question 196774: An algebric equation which is reducible to qudratic equation:
X^6 - 9X^3 + 8 =0
Click here to see answer by RAY100(1637)

Question 196751: Solve using the square root property:
5x2 = 100
Click here to see answer by edjones(8007)

Question 196644: I keep getting the incorrect answer to the following problem, I'm not sure where my error was, can you help me?
A large pond is stocked with fish. The fish population P is modeled by the formula P = 4t + 8√t + 110, where t is the number of days since the fish were first introduced into the pond. How many days will it take for the fish population to reach 500?
thanks!
Click here to see answer by edjones(8007)

Question 196798: The area of a rectangle is 90 ft^2. The length is 3 more than twice the width. What are the demensions of the rectangle?
Click here to see answer by solver91311(24713)

Question 196866: Please help me solve this equation: 4x^2+6x-6=2
It is called completing the square and has to do with solving quadratic equations.
Click here to see answer by jim_thompson5910(35256)

Question 196865: Please help me solve this equation: 5x^2-20x-20=5
It is called completing the square and has to do with solving quadratic equations.
Click here to see answer by jim_thompson5910(35256)

Question 196864: Please help me solve this equation: x^2+3/5x-1=0
It is called completing the square and has to do with solving quadratic equations.
Click here to see answer by jim_thompson5910(35256)

Question 196904: Solve by factoring: x^2-9x=-20
Click here to see answer by Mathtut(3670)

Question 196901: solve this please: x^2+5x-5=0. I'm stuck.
Click here to see answer by Mathtut(3670)

Question 196902: Solve using the square root property:
(x + 8)^2 = 81
or (x+8) squared =81
Click here to see answer by Mathtut(3670)

Question 196910: t62-7t+5=0 have to show whether quadric equation has 0,1,2 in real roots and if its is irrarational or rational
6t^2 - 7t + 5 = 0
t = (-(-7) + (49-4x6x5)^1/2)/12
or
t = (-(-7) - (49-4x6x5)^1/2)/12
quadratic equation have 2 irrational roots
(7+ root(71)i)/12
and
(7- root(71)i)/12

Click here to see answer by mathsteacher(28)

Question 196131: This is from Activity Bank, INTEGRATED MATHEMATICS 1 Copyright by Houghton Mifflin Company.
The world's largest industrial building is located in Hong Kong. The distance between two opposite corners in the building is about 1320 ft. The length is about 55 ft. greater than the width. What are the length and the width of the building?
Click here to see answer by edjones(8007)

Question 196896: I have a few problems I'm struggling with:
1: x^2 - 3x = -10 (directions say use quadratic formula, use radicals as needed).
2: (x+12)(x-8)(x+8)>0 (directions say to use one equality or compount equality)
3: 2x^2 - 5x +1 (evaluate polynomial for x= -4
4: (9x^8 - 3)(x^9 - 3) (use FOIL to find product)
I thank you in advance for time spent in helping with these problems
Click here to see answer by jim_thompson5910(35256)

Question 196949: A retangular field is to be enclosed by 500m of fence. What dimensions will give the maximum area? What is the maximum area?
Solution:
Let the length of rectangle = x
So the width will be, w
perimeter =
or x+w=250
or w=250-x

So the area,A(x) =
A(x)=
Area is maximum at the vertex if the parabola
made by the equation, A(x)=
vertex=[(-b/2a),A(-b/2a)]
-b/2a = = 125
A(250) = = 15625
So Length,x =125m
Width = 250-125 = 125m
Maximum area =

Click here to see answer by mathsteacher(28)

Question 196953: find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function.

Axis of symmetry is given by
for a function,
So
x=-6 is the axis of symmetry.
x coordinate of vertex is
y coordinate of vertex is
So vertex = (-6,-45)
Click here to see answer by mathsteacher(28)

Question 196948: A farmer wants to make a retangular corral along the side of a large barn and has enough materials for 60m of fencing. Only three sides must be fenced, since the barn wall will form the fourth side. What width of rectangle should the farmer use so that the maximum area is enclosed? Use "let statements"
Click here to see answer by ankor@dixie-net.com(22740)

Question 196950: Determine the maximum area of a triangle, in square centimeters, if the sum of its base and its height is 10cm. Be sure to include"let statements"
let the base = x
so height = 10-x

x coordinate of Vertex of the parabola =
y coordinate of Vertex of the parabola =
So max. area is
Click here to see answer by mathsteacher(28)

Question 196947: A retangular field is to be enclosed by 500m of fence. What dimensions will give the maximum area? What is the maximum area? Be sure to use "let statements"
Click here to see answer by solver91311(24713)

Question 197013: please help me how to do this, y2+2y-8=0
Click here to see answer by Earlsdon(6294)

Question 197024: thank you in advance for any help with these:
1. 15x^4 - 11x^2 + 2 = 0 use radical as needed
2. x^2 + 6x - 4 = 0 simply, use radical if needed
3. 4x(x - 1)- 5x(x)= 3 solve for x
4. 8x^2 - 6x - 2 = 0 state value of discriminant; one or two real soulution? or two imaginary solution?
thank you for any help you can provide...
Click here to see answer by stanbon(75887)

Question 196967: A club usually sells 1200 shirts a year at $20 each. A survey indicates that for every $2 increase in price, there will be a drop of 60 sales a year. What price they should charge for each shirt to maximize the revenue?
Click here to see answer by ankor@dixie-net.com(22740)

Question 197143: identify the substitution that you should make to change 2y^2/3-5y^1/3-12=0 to standard quadractic form.
Click here to see answer by Alan3354(69443)

Question 197150: How would you do this problem...2x^2+5x+3=0?
Click here to see answer by solver91311(24713)

Question 197150: How would you do this problem...2x^2+5x+3=0?
Click here to see answer by edjones(8007)

Question 197201: I'm not sure if this is the right category, but I'd really appreciate your help on this multiple choice question: " If 2+i and 2-i are the roots of the equation x^2 -4x +c= 0, what is the value of c?"
a) -5 b) 5 c) -4 d)4
Thanks!

Click here to see answer by stanbon(75887)

Question 197245: Hello, I have to provide a real life example of quadratic function. I have no idea where to start. Can you help me with some ideas and formulas for the everyday use of quadratic function? Thank you.
Click here to see answer by Edwin McCravy(20054)

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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