Question

answer this one guys!!!
if m^4+1/m^4=119 then the positive value of m-1/m is ......

Answer 1

Answer:

pls mark it as brainlest answer

Answer 2

Answer:

= ±3

Step-by-step explanation:

i) By applying algebra identity, x⁴ + 1/x⁴ = (x² + 1/x²)² - 2

So by the given data, (x² + 1/x²)² - 2 = 119

==> (x² + 1/x²)² = 121

ii) Hence (x² + 1/x²) = 11

[Taking square root on both sides; further since x is real, (x² + 1/x²) will be > 0; hence -11 for square root of 121 is rejected]

iii) Again by algebra identity, (a - b)² = a² + b² - 2,

(x² + 1/x²) = (x - 1/x)² + 2

So, (x - 1/x)² = (x² + 1/x²) - 2 = 11 - 2 = 9

Taking square root on both sides, x - 1/x = ±3