Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
x +1/x=4 then find x^5+1/x^5=? Please hivee answer whith clearly
x+1/x=4 and we need to find x^5+1/x^5 first of all to make a power of 5 weneed to cube it. (x+1/x)^3=4^3 apply formula (a+b)^3=a^3+b^3+3ab(a+b) x^3+1/x^3+3x*1/x(x+1/x)=64 x^3+1/x^3+3*4 =64 Because x+1/x=4 and x*1/x=1 x^3+1/x^3+12=64 x^3+1/x^3=52 now we need to do is (x^3+1/x^3)^2=(52)^2 apply formula (a+b)^2=a^2+b^2+2ab (x^3)^2+(1/x^3)^2+2x^3*1/x^3=2704 x^5+1/x^5+2=2704 x^5+1/x^5=2702---------hence answered
GivenX+1/x=3=a (let)X^2+1/x^2=a^2-2And X^3+1/x^3=a^3-3aThan x^5+1/x^5={x^2+1/x^2}×{x^3+1/x^3}-{x+1/x}I,e. 18×7-3=123
x+1/x=4x³+1/x³=52Multiplying both side by x²+1/x²(x³+1/x³)(x²+1/x²)=52(x²+1/x²)x^5+x+1/x^5+1/x=52*14x^5+1/x^5+4=728X^5+1/x^5=728-4=724
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -