Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 179892: Find the distance between these two points:
(4,-1) and (0,-5)
Click here to see answer by HyperBrain(694)

Question 179942: Write 3 quadratic equations with a,b,c (coefficients of x^2,x and the constant) as:
1. integers
2. rational numbers
3. irrational numbers
Click here to see answer by Mathtut(3670)

Question 179941: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes is doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes do we have?
Click here to see answer by Mathtut(3670)

Question 179990: I am having some trouble with Quadratic Formulas. Here is my problem: x^2-5x-5=0
Here is what I did: x^2-5x-5=0 A=1 B= -5 C= -5 x=5+/- (radical sign) -5^2-4(1)(-5) (all over)2 x=5+/- (radical sign)25-20 (all over) 2 x=5+/-(radical sign)5(all over) 2 so my answer is x=5+(radical sign)5(all over)2 or x=5-(radical sign)5(all over)2 Can you check that answer for me? Thanks a ton, Heather
Click here to see answer by stanbon(75887)

Question 180002: I am having some trouble with quadratic formulas, can you help me please? Here is the problem: 4x^2-x+1=0 This is what I have so far: A=4 B=-1 C=1 X= 1+/-(radical sign)(-1)^2-4(4(1) (All over) 2(4) x=1+/-(radical sign)1-16 (all over) 8 x=1+/-(radical sign) -15 (all over) 8 x=1+/-(radical sign) -1(times)15 (all over) 8 x=1+/-i(racidal sign)15 (all over) 8 and that is as far as I got, Please help me! Thanks a ton,
Heather
Click here to see answer by ptaylor(2198)

Question 179914: Please help me with this assignment!

1. Determine whether the following equations have a solution or not? Justify your answer.
a) x2 + 3x - 15 = 0
b) x2 + x + 4 = 0
c) x2 � 4x - 7 = 0
d) x2 � 8x + 16 = 0
e) 2x2 - 3x + 7 = 0
f) x2 � 4x - 77 = 0
g) 3x2 - 7x + 6 = 0
h) 4x2 + 16x + 16 = 0

2. If x = -3 and x = 4, then form a quadratic equation.

3. 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.

4. Create a real-life situation that fits into the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.

Click here to see answer by solver91311(24713)

Question 179999: I am having some trouble with quadratic formulas, could you please help me with this problem? x^2-1/2x+1/2=0 This is what I have so far: A=1 B=-1/2 C=1/2 x=1/2+/-(radical sign)-1/2^2-4(1)(1/2) (all over)2 x=1/2+/-(radical sign)1/4-2 (all over) 2 x=1/2+/-(radical sign)-7/4 (all over 2) x=1/2+/-2(radical sign)-7 (all over) 2 and that's as far as I got. Can you help me? Thanks a ton,
Heather
Click here to see answer by ptaylor(2198)

Question 180131: Here is the problem:
Walt made an extra $12,000 last year from a part-time job. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in intrest. How much was invested at 7%?
I can honestly say that I am beyond stuck I don't even know where to start on this problem. Please Help!!! :-)
Click here to see answer by Mathtut(3670)

Question 180137: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "x2 - 10x - 39 = 0".
Click here to see answer by stanbon(75887)

Question 180189: A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
Iam having a mental block

Click here to see answer by ptaylor(2198)

Question 180255: I need three examples of quadratic equations using integers, rational numbers and irrational numbers
Click here to see answer by Mathtut(3670)

Question 180285: what is a discriminat?
Click here to see answer by Mathtut(3670)

Question 180288: The directions say to solve each equation by graphing.
The problem is written as;

Click here to see answer by stanbon(75887)

Question 180288: The directions say to solve each equation by graphing.
The problem is written as;

Click here to see answer by Mathtut(3670)

Question 180290: x^2 + 3x - 15 = 0
Does this equation have a real or complex solution?
Click here to see answer by stanbon(75887)

Question 180292: The directions say to; Solve each equation by graphing. If integral roots cannot be found , estimate the roots by stating the consecutive integers between which the roots lie.
The problem is written as;

Click here to see answer by Mathtut(3670)

Question 180296: To complete the square in -2(x^2-6x+A)=-3+B the values for A and B are?
Click here to see answer by Mathtut(3670)

Question 180322: TRANSLATE THE FOLLOWING INTO A QUADRATIC EQUATION AND SOLVE IT. THE LENGTH OF A RECTANGULAR GARDEN IS FOUR TIMES ITS WIDTH, IF THE AREA OF THE GARDEN IS 196 SQUARE METERS, WHAT ARE ITS DIMENSIONS? This is the answer that I got, please tell me what I did wrong....
Width is X
Length is 4X
Area is 196
X(4X) = 196
4X� = 196 subtract 196 from each side to get zero on one side
4X� - 196 = 0
(2X � 14)(2X +14) solve by factoring a difference of squares
2X - 14=0 2X + 14=0 solving the 2 equations separately
2X=14 2X= -14
X=7 X= -7
Check: x(4x) =196
7(4.7) =196
7(28) = 196
196 = 196

Dimensions of rectangle are:
Width is 7
Length is 28

Click here to see answer by stanbon(75887)

Question 180312: Find the slop, if it exists of the line containing the pair of points
(-10,-9) and -(19,-11)
Click here to see answer by Alan3354(69443)

Question 180302: The directions say: Solve each equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.
The problem is written as

Click here to see answer by josmiceli(19441)

Question 180397: Prepare an activity involving a geomtric manipulative
Click here to see answer by solver91311(24713)

Question 180502: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle
Click here to see answer by stanbon(75887)

Question 180490: 4. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
Click here to see answer by solver91311(24713)

Question 180555: Simply the expression:
2n^2y^19n^11y^52
Click here to see answer by Mathtut(3670)

Question 180438: The number of units, n, of a commodity sold at price ,p, is given by n= -0.2p + 50. The revenue is the product of the selling price and the number of units sold. The maximum revenue for this commodity is?
Click here to see answer by ankor@dixie-net.com(22740)

Question 180562: A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
Click here to see answer by nerdybill(7384)

Question 180567: The directions say to solve using the quadratic formula. Round to the nearest tenth if necessary.
The problem is written as follows:

Click here to see answer by nerdybill(7384)

Question 180567: The directions say to solve using the quadratic formula. Round to the nearest tenth if necessary.
The problem is written as follows:

Click here to see answer by mgmoeab(37)

Question 180564: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
Click here to see answer by Alan3354(69443)

Question 180571: What type of solution do you get for quadratic equation where D<0? Give reason 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 Alan3354(69443)

Question 180570: If x=-3 and x=4 then form a quadratic equation
Click here to see answer by Mathtut(3670)

Question 180563: A business invests $8,000 in a savings account for two years. At the beginning of the second year an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?
Click here to see answer by Mathtut(3670)

Question 180566: square root of 2x^2 - 4x - 7*square root of 2 = 0
Click here to see answer by user_dude2008(1862)

Question 180565: The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver and returns in a total time of 6 hours. What's the speed of the boat in still water?
Click here to see answer by HyperBrain(694)

Question 180589: 13) Solve by using quadratic formula x2 � 6x + 10 = 0
14) Solve by using quadratic formula x2 � 4x + 29 = 0

Click here to see answer by vleith(2983)

Question 180569: Determine whether the following have a solution or not. Justify answer.
x^2+3x-15=0
x^2+x+4=0
x^2-4x-7=0
x^2-8x+16=0
2x^2+3x+7=0
x^2-4x-77=0
3x^2-7x+6=0
4x^2+16x+16=0
Click here to see answer by vleith(2983)

Question 180588: 13) Solve by using quadratic formula x2 � 6x + 10 = 0
14) Solve by using quadratic formula x2 � 4x + 29 = 0

Click here to see answer by checkley77(12844)

Question 180572: Create a real life situation that fits into the equation (x+3)(x-5)=0 and express the situation as the same equation.
Click here to see answer by Alan3354(69443)

Question 180501: A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?

Click here to see answer by ankor@dixie-net.com(22740)

Question 180687: I need help please show me an example of a complex roots equation. Thanks
Click here to see answer by stanbon(75887)

Question 180687: I need help please show me an example of a complex roots equation. Thanks
Click here to see answer by josmiceli(19441)

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