C1 Question help please!
HI there i was stuck on these two question because i have not learnt them so could someone please help me so i could note on how to do it
Q1 : x^5 + 1/ x^2 , write in the form x^p + x^q , where p and q are integers
Q2: The two curves y= 5 X 4 ^x and y=4^-x intersect at the point p
Show that the x-coordinates of the point p is a root of the equation 4^2x=0.2
Many thanks everyone!
Q1 : x^5 + 1/ x^2 , write in the form x^p + x^q , where p and q are integers
Q2: The two curves y= 5 X 4 ^x and y=4^-x intersect at the point p
Show that the x-coordinates of the point p is a root of the equation 4^2x=0.2
Many thanks everyone!
for the first one its x to the power of 5 plus x to the power of minus 2
Original post by amahmoud0129
HI there i was stuck on these two question because i have not learnt them so could someone please help me so i could note on how to do it
Q1 : x^5 + 1/ x^2 , write in the form x^p + x^q , where p and q are integers
Q2: The two curves y= 5 X 4 ^x and y=4^-x intersect at the point p
Show that the x-coordinates of the point p is a root of the equation 4^2x=0.2
Many thanks everyone!
Q1 : x^5 + 1/ x^2 , write in the form x^p + x^q , where p and q are integers
Q2: The two curves y= 5 X 4 ^x and y=4^-x intersect at the point p
Show that the x-coordinates of the point p is a root of the equation 4^2x=0.2
Many thanks everyone!
For the first one:
1/x^2 is the same as 1* x^-2 so x^-2
So you get x^5 + x^-2
For b is that 5 times 4^-x ?
Original post by Dinaa
For the first one:
1/x^2 is the same as 1* x^-2 so x^-2
So you get x^5 + x^-2
For b is that 5 times 4^-x ?
1/x^2 is the same as 1* x^-2 so x^-2
So you get x^5 + x^-2
For b is that 5 times 4^-x ?
Hi y= 5 times 4^x and Y= 4 to the power -x
Original post by amahmoud0129
Hi y= 5 times 4^x and Y= 4 to the power -x
Since they intersect and we're looking for the x coordinate, you equal both equal equations together so the y's cancel.
5(4^x)=4^-x
Multiply by (4^x) obviously both sides
5(4^x)(4^x)=(4^-x)(4^x)
Using the indices rule:
5(4^2x)= 4^0
Anything to the power of 0 = 1
5(4^2x)= 1
Divide by 5
4^2x = 0.2
Quick Reply
Related discussions
- IGCSE Physics Focal Length
- Maths for economists - constrained maximisation questoin
- circle question help
- Senior Physics Challenge 2022
- Isaac Senior Physics Challenge 2024
- Physics Question help
- Senior Physics Challenge Isaac Physics
- Korean at SOAS
- Learning a 2nd language
- best way to revise maths
- Energy dissipated
- Edexcel old spec papers (maths)
- Isaac physics SPC 2022
- Paramedic science undergraduate degree questions...
- Paramedic science- time out after college
- CyberStart Game 2020/2021 (CyberDiscovery UK)
- Integral Maths - Complex numbers - Test C1
- Resitting Bio,Chem,Maths A Levels! HELP
- Solving Differential Equations
- Edexcel GCSE Chemistry (Paper 1)
Latest
Trending
Last reply 4 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 4 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
