Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 170300: Hello, I tried to solve the equation 5(square root)x + 1 = 3 by doing 5(sq root) x = 3 and (5(sq. rt.) x) ^ 5 = 3^5 and I my answer is x=243. However, I'm not sure so can you help me please. Thank you
Click here to see answer by Alan3354(30993)

Question 170291: Hello, I've tried to solve this problem t^2/3=4 and my solution was 8 because I put (t^2/3) ^3/2 = 4^3/2 and t= (square root)4^3 = (square root) 64 = 8. Can you help me please? Thank You

Click here to see answer by checkley77(12569)

Question 170378: This is my problem:
Julian’s beauty Solon has 32 customers for today and 4 beauticians. If it takes 30 minutes to do each customers hair, how many customers will each beautician have to take in order to clear the book for the day.
Click here to see answer by checkley77(12569)

Question 170429: Expand and if necessary simplify questions:
a. (2a-1)^2
b. (x+11)(x-4)
c. (2x-3)(4x-7)
Click here to see answer by jim_thompson5910(28595)

Question 170432: Fully factorize:
a. -5mp-30m
b. 4xy-16xy^4
Click here to see answer by jim_thompson5910(28595)

Question 170445: if a quadratic trinomial cannot be factored, what kind of trinomial is it? Give example and explain.
Click here to see answer by maali40(13)

Question 170532: Need help!!
x² - 5x + 2 = 0
Click here to see answer by josmiceli(9678)

Question 170626: I am completely lost in translation. Can someone assist me in solving this question? Thanks alot. This is the last of my homework and I am completely stumped.
Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
Integers
Rational numbers
Irrational numbers

Click here to see answer by stanbon(57347)

Question 170721: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
Not sure how to start on this one? I am not good at word problems
Click here to see answer by stanbon(57347)

Question 170728: Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream.
These word problems are tough, i appreciate any help!
Click here to see answer by jim_thompson5910(28595)

Question 170726: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Not sure how to do these word problems and will appreciate any help, so far I have a B in class :)
Click here to see answer by jim_thompson5910(28595)

Question 170751: This is the last portion of my homework and my tutor is out of town for the holidays, is it possible that someone can assist me on this? Thank you!
Determine whether the following equations have a solution or not? Justify your answer.
a) x2 + 6x - 7 = 0
b) z2 + z + 1 = 0
c) (3)1/2y2 - 4y - 7(3)1/2 = 0
d) 2x2 - 10x + 25 = 0
e) 2x2 - 6x + 5 = 0
f) s2 - 4s + 4 = 0
g) 5/6x2 - 7x - 6/5 = 0
h) 7a2 + 8a + 2 = 0

Click here to see answer by checkley77(12569)

Question 170754: If x = 1 and x = -8, then form a quadratic equation whose solution are these values.
Would I begin by saying y=(x+1)*(x-8)=0. I am completely lost.
Click here to see answer by Mathtut(3670)

Question 170719: Create a real-life situation that fits into the equation (x + 2)(x - 5) = 0 and express the situation as the same equation.
I am stumped on how to create this one, I am a straight a student in psychology and really struggling with this Algebra class, but I have a B and two weeks to go. Please help!
Click here to see answer by Mathtut(3670)

Question 170776: Write the quadratic equation in standard form with the coefficient of x2 positive. Then, state what the values are of a, b, and c.
x2=3x+1

I need to show work, but am guessing at the answer, due today, help please!
Click here to see answer by Mathtut(3670)

Question 170775: What type of solution do you get for quadratic equations where D<0?
Give reasons for your answer.
Also provide an example of such a quadratic equation and find the solution of the equation.
I have tried three times and still I am wrong, please help.
Click here to see answer by jim_thompson5910(28595)

Question 170718: What type of solution do you get for quadratic equations where D<0?
Give reasons for your answer.
Also provide an example of such a quadratic equation and find the solution of the equation.

Click here to see answer by Mathtut(3670)

Question 170839: I always get lost in word problems, I never know where to begin and with what information. Any help would be greatly appreciated!
Translate the following into a quadratic equation, and solve it the length of a rectangular garden is three times its width if the area of the garden is 75 square meters what are its dimensions?
Click here to see answer by Mathtut(3670)

Question 170853: Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream.
word problem for quadratic equations
Click here to see answer by jim_thompson5910(28595)

Question 170862: For each quadratic function, first a, b and c. then, write whether the graph of the function opens upward or downward and whether the function has a minimum or a maximum y=2xsquared-3x+1
Click here to see answer by jim_thompson5910(28595)

Question 170861: I need to make this number a positive exponent and then simplify if possible. This is an algebra questions for college Math 100.
Click here to see answer by jim_thompson5910(28595)

Question 170864: xsquared+x-5
Click here to see answer by KnightOwlTutor(293)

Question 170864: xsquared+x-5
Click here to see answer by jim_thompson5910(28595)

Question 170865: I need to find a,b,and c. If the function opens upward or downward and if the function has a minimum or a max. y=xsquared+x-5
Click here to see answer by jim_thompson5910(28595)

Question 170727: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Not sure how to do these word problems and will appreciate any help, so far I have a B in class :)
Click here to see answer by Mathtut(3670)

Question 170892: Can you please help show me how to solve this quadratic equation by completing the square.
x^2 + 4x - 12 = 0
Click here to see answer by stanbon(57347)

Question 170893: Can you please help show me how to solve this quadratic equation by completing the square.
a^2 - 4a + 5 = 0
Click here to see answer by stanbon(57347)

Question 170897: Can you please show me how to solve this equation using the quadratic formula
4m^2 - 8m + 1 = 0
Click here to see answer by KnightOwlTutor(293)

Question 170896: solve this equation using the square root property
please help me by showing how to work this out.
3x^2 = 8
Click here to see answer by KnightOwlTutor(293)

Question 170895: Can you please show me how to solve this equation using the square root property
x^2 + 5 = 13
Click here to see answer by scott8148(6628)

Question 170894: Please help show me how to solve this quadratic equation by completing the square.
m^2 = 8m + 3
Click here to see answer by scott8148(6628)

Question 170953: please help me answer this question. What three techniques can be used to solve a quadratic equation? I also need to demonstrate these techniques on the equation "12x^2 - 10x - 42 = 0".

Click here to see answer by Alan3354(30993)

Question 170891: Can you please help show me how to solve this quadratic equation by completing the square.
w^2 - 5w = 14
Thank you so much
Click here to see answer by jojo14344(1512)

Question 171112: 2x^2-2x+7=0
I have to solve this by completing the square. I solved it but I'm unsure of my answer, I got x= 1/2 + or - i times radical 13 over 2.
Click here to see answer by jim_thompson5910(28595)

Question 171147: I need to solve and graph these equations. I have not done this since high school and cannot remember how to solve these.
(x+2)^2 + (y-4)^2 = 36
y=3x^2
y=x^2+x
(x-1)^2 + (y-8)^2 = 16
Click here to see answer by KnightOwlTutor(293)

Question 171188: If x = 1 and x = -8, then form a quadratic equation. Again, I have to work this problem backwards in order to figure it out, can someone help me with this one also? I am lost!
Click here to see answer by scott8148(6628)

Question 171197: solve each equation by factoring..
1. 4x2 – 17x – 15 = 0
2. 10x2 + 19x + 6 = 0
3. Solve 3x2 = 4,800 by using square roots.
Click here to see answer by scott8148(6628)

Question 171203: Factor each quadratic expression.

1. –8x2 + 32
2. 3x2 + 13x – 10
3. 5x2 – 19x – 4

Click here to see answer by scott8148(6628)

Question 171187: Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation. I don't know how to work this problem backwards, help me please.
Click here to see answer by Mathtut(3670)

Question 171190: Quadratic equations are one of my weakest links in math which is my worst subject. Can someone assist me with these problems, I definately appreciate it!
1. Determine whether the following equations have a solution or not? Justify your answer.
s2 - 4s + 4 = 0
5/6x2 - 7x - 6/5 = 0
7a2 + 8a + 2 = 0

Click here to see answer by oscargut(891)

Question 171185: What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation. I am confused I always thought it was Ax^2 +Bx +C=0, am I missing something in this question? Please help

Click here to see answer by Mathtut(3670)

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