Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 901776: Good day
I have something puzzling me for quite a while now
Let't take an example
In the quadratic equation
1. 72c2 + 24c - 16
The answer is (12c - 4) (6c + 4)
Firstly.. Why 12 and 6? why not something like 9 and 8
Tried the formula with this example numbered as "1."
Secondly.. How do I know from the equation "72c2 + 24c - 16" which bracket is going to get the "+" and which bracket is going to get the "-"
They explained it in school but I just can't remember the principles.
Kind Regards.
Stefan.
Click here to see answer by ewatrrr(24785)  |
Question 901776: Good day
I have something puzzling me for quite a while now
Let't take an example
In the quadratic equation
1. 72c2 + 24c - 16
The answer is (12c - 4) (6c + 4)
Firstly.. Why 12 and 6? why not something like 9 and 8
Tried the formula with this example numbered as "1."
Secondly.. How do I know from the equation "72c2 + 24c - 16" which bracket is going to get the "+" and which bracket is going to get the "-"
They explained it in school but I just can't remember the principles.
Kind Regards.
Stefan.
Click here to see answer by MathTherapy(10551)  |
Question 901776: Good day
I have something puzzling me for quite a while now
Let't take an example
In the quadratic equation
1. 72c2 + 24c - 16
The answer is (12c - 4) (6c + 4)
Firstly.. Why 12 and 6? why not something like 9 and 8
Tried the formula with this example numbered as "1."
Secondly.. How do I know from the equation "72c2 + 24c - 16" which bracket is going to get the "+" and which bracket is going to get the "-"
They explained it in school but I just can't remember the principles.
Kind Regards.
Stefan.
Click here to see answer by Alan3354(69443)  |
Question 901776: Good day
I have something puzzling me for quite a while now
Let't take an example
In the quadratic equation
1. 72c2 + 24c - 16
The answer is (12c - 4) (6c + 4)
Firstly.. Why 12 and 6? why not something like 9 and 8
Tried the formula with this example numbered as "1."
Secondly.. How do I know from the equation "72c2 + 24c - 16" which bracket is going to get the "+" and which bracket is going to get the "-"
They explained it in school but I just can't remember the principles.
Kind Regards.
Stefan.
Click here to see answer by richwmiller(17219)  |
Question 902187: Algebraically find the the vertex
y=6+x-x^2
I know how to find vertex, i am just confused if c=6 b=x a=-x^2 or do i have to change the equation to make it positive like x^2-x-6 instead. Not sure if that makes a difference.
Thanks in advance
Click here to see answer by ewatrrr(24785)  |
Question 902628: the length of a lawn is 10 m more than the width, and the area is 600 m^2. Write the equation and solve it to find the dimensions of the lawn.
can someone please explain how you get the answer and what equation you are going to use i.e how are you going to get the equation with this information provided :):)
Click here to see answer by Stitch(470) |
Question 902920: A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetariums frequent visitor program & $13 for each student who is not a member. The total cost of the students tickets is $209.
1. Write an equation to determine the value of x. Explain what each part of your equation represents.
Click here to see answer by josgarithmetic(39616) |
Question 902920: A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetariums frequent visitor program & $13 for each student who is not a member. The total cost of the students tickets is $209.
1. Write an equation to determine the value of x. Explain what each part of your equation represents.
Click here to see answer by richwmiller(17219)  |
Question 903016: Which statement is true?
#1 The equation –3|2x + 1.2| = –1 has no solution.
#2 The equation 3.5|6x – 2| = 3.5 has one solution.
#3 The equation 5|–3.1x + 6.9| = –3.5 has two solutions.
#4 The equation –0.3|3 + 8x| = 0.9 has no solution.
Click here to see answer by tmwilliamlin168(27) |
Question 903111: Solve the equation by introducing a substitution that transforms this equation into quadratic form.
x^4-35x^2+304=0
I'm not even sure how to begin this, but my paper has a spot for four answers if that helps?
Click here to see answer by ewatrrr(24785)  |
Question 903826: Solving Quadratic Equations Using Square Root/Factoring
The aspect ratio of a TV screen is the ratio of the screen’s width to its height. For HDTVs, the aspect ratio is 16:9. What is the width and height of a 42 inch screen TV? (42 inches refers to the length of the screen’s diagonal.) HINT: Use the Pythagorean Theorem. Round your answers to the nearest hundredth.
Click here to see answer by jim_thompson5910(35256) |
Question 904079: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a season when about 600 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (600 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Click here to see answer by josmiceli(19441)  |
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