IfXsquare - 5x+1= 0 then find the the value of x power5 + 1/ x power5
Malyarpita Singh , 6 Years ago
Grade 10
10 grade maths> If Xsquare - 5x+1= 0 then find the the va...
2 Answers
Anand Chauhan
Last Activity: 6 Years ago
x2-5x+1=0
x2+1=5x
now on dividing both side by x we get
x+ 1/x = 5
now squaring both sides
x2+ 1/x2+2=25
x2+ 1/x2=23 let this be equation number 1
Now multiply it by x+ 1/x
(x2+1/x2)(x+ 1/x)= (23)(5) ---------(since x+ 1/x = 5 (see third step ))
x3 + 1/x3 + (x+ 1/x) = 115
x3 + 1/x3 = 110 ---------(since x+ 1/x = 5 (see third step )) (Now let this be equation number 2)
now multiply equation number 1 and 2
(x2+ 1/x2)(x3 + 1/x3) = (23)(110)
x5+1/x5+ (x+ 1/x) = 2530
x5+1/x5=2530-5
x5+1/x5=2525
Mona
Last Activity: 3 Years ago
Find the value of x when X2-3x+1=0 then X10+1÷x10 is find find find find find find find find find find find find
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on 10 grade maths
What are the advantages and disadvantages of mean, median and mode?
10 grade maths
1 Answer Available
Last Activity: 1 Year ago(s)
Find the sum of the first 100 natural numbers.
10 grade maths
1 Answer Available
Last Activity: 2 Year ago(s)
AOBC is a rectangle whose three vertices are A(0,-3), O(0,0) and B (4,0). The length of its diagonal is__
10 grade maths
1 Answer Available
Last Activity: 2 Year ago(s)
For an AP, it is given that first term (a)= 5 and Common Difference (d) = 3 and nth term = 50. Find n and sum of first n terms of AP
10 grade maths
1 Answer Available
Last Activity: 2 Year ago(s)
The value(s) of k for which the quadratic equation 2x^2 + kx + 2 = 0 has equal roots, is (a) 4 (b) pm 4 (c) -4 (d) 0
10 grade maths
1 Answer Available
Last Activity: 2 Year ago(s)