(v2 + a2)3 = (V3+a3)2 , and v and a are non zero, then the value of v/a + a/v is
a. 1/2b. 2c. 2/3d. 3/2
here is the solution
(v^6+a^6+3v^4a^2+3V^2a^4)=v^6+2v^3a^3+a^6
so 3v^2-2v^3a^3+3v^2a^4=0
so V^2-(2/3)va+a^2=0
(v^2/a^2)-(2/3)(v/a)=-1
so (v/a){(v/a)-(2/3)}=-1
so (v/a)+(a/v)=2/3
Little Star
n/a
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(v2 + a2)3 = (V3+a3)2 , and v and a are non zero, then the value of v/a + a/v is
a. 1/2
b. 2
c. 2/3
d. 3/2
here is the solution
(v^6+a^6+3v^4a^2+3V^2a^4)=v^6+2v^3a^3+a^6
so 3v^2-2v^3a^3+3v^2a^4=0
so V^2-(2/3)va+a^2=0
(v^2/a^2)-(2/3)(v/a)=-1
so (v/a){(v/a)-(2/3)}=-1
so (v/a)+(a/v)=2/3
Little Star
n/a
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