math
posted by Alex
Here's my question: Determine if each system has one, two, or no solutions. (Show your work  3 marks each)
a)y=2x^22x+1 and y=3x5
b)y=x^2+3x16 and y=x^28x18
Here's my work on the question:
a)
x=(b plus/minus sign (square root b^24ac)/(2a)
x=(2 plus/minus sign (square root 2^24(2)(1)/(2(2)
x=(2 plus/minus sign (square root 48)/(4)
x=( 2 plus/minus sign (nonreal answer)/(4)
x=(b plus/minus sign (square root b^24ac)/(2a)
x=(5 plus/minus sign (square root 5^24(3)/2(3)
x=(5 plus/minus sign(square root 2512)/6
x=(5 plus/minus sign(square root 37)/6
x=(5 plus/minus sign (nonreal answer)/6
b)
x=(b plus/minus sign (square root b^24ac)/(2a)
x=(3 plus/minus sign (square root 3^24(1)(16)/(2(1))
x=(3 plus/minus sign (square root 964)/2
x=(3 plus/minus sign (square root 73)/2
x=(3 plus/minus sign (8.54)/(2)
x=4.27
x=(b plus/minus sign (square root b^24ac)/(2a)
x=(8 plus/minus sign(square root 8^24(1)(18)/(2(1)
x=(8 plus/minus sign(square root6472)/(2)
x=(8 plus/minus sign(square root 136)/(2)
x=(8 plus/minus sign(nonreal answer)/(2)
Can you please help me where I went wrong and help correct my errors!

Steve
first, do a google on special characters to find the ±√ symbols, which you can then copy and paste. All those words are just too ugly for words! You have
y=2x^22x+1 and y=3x5, so set them equal:
2x^22x+1 = 3x5
2x^25x+6 = 0
The discriminant (b^24ac) is negative, so there are no solutions.
For the other,
y=x^2+3x16 and y=x^28x18
x^2+3x16 = x^28x18
2x^2+11x+2 = 0
the discriminant is positive, so it has two distinct solutions.
See the graphs at
http://www.wolframalpha.com/input/?i=plot+y%3D2x^22x%2B1+%2C+y%3D+3x5
http://www.wolframalpha.com/input/?i=plot+y%3Dx^2%2B3x16+%2C+y%3Dx^28x18
Respond to this Question
Similar Questions

mat115
Please help me with this math question. I am asked to show my work but I don't know how to solve the problem to show my work. The question is: Choose the correct list of factors of the number 8. Again, I have to show my work with this … 
Intermediate Algebra
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. 3x + y = 4 x + 3y = 22 Here's what I came up with (where did I go wrong) 3x + y = 4 y = 4  3x 3x … 
Math
I am stuck on trying to figure out how to do this question. Could someone please show me 5 necessary steps ? 
@someone who can show me how to do this
Hi I'm Aluminum<3 Helping and C.S.I, but you can call me Alumi. for short. So here's my Question,Determine how many solutions exist for the system of equations. I need someone who can WORK IT OUT with me and SHOW me how to do it. … 
math
Determine if each system has one, two, or no solutions. (Show your work  3 marks each) a)y=2x^22x+1 and y=3x5 b)y=x^2+3x16 and y=x^28x18 
math
Determine if each system has one, two, or no solutions. (Show your work  3 marks each) a)y=2x^22x+1 and y=3x5 b)y=x^2+3x16 and y=x^28x18 
math
Here's my question: Fireworks are to be launched from a platform at the base of a hill. Using the top of the platform as the origin and taking some measurements, it was determined that the crosssection of the slope of one side of … 
math
Here's my question: Fireworks are to be launched from a platform at the base of a hill. Using the top of the platform as the origin and taking some measurements, it was determined that the crosssection of the slope of one side of … 
Math (PLEASE HELP!)
1. The UV index on a sunny day can be modelled by the function y= 0.15(x13)^2+7.6 , where x represents the time of day on a 24h clock and f(x) represents the UV index. At what time(s) was the UV index 7? 
Algebra 2
So I solved this problem but, strange as it sounds, I don't know how to do the work. Here's the question: One number is eight less than another number. The sum of the numbers is eighty. Find both numbers. Here's what I've got: y8=x …