Question

find the value of x..... I will mark as brainliest if u give the solution of the answer..
pls help me out.....​

Answer 1

Answer:

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Answer 2

$\Large{\underline{\underline{\mathfrak{\orange{\bf{Solution}}}}}}$

Given:-

★ [ 1 - { 1 - ( 1 - x² ) ^-1 }^-1 ]^(-1/2) = 4

=> [ 1 - { 1 - 1/(1-x²)}^-1]^(-1/2)=4

=> [ 1 - { (1-x² - 1)/(1-x2)}^-1]^(-1/2)=4

=> [ 1 - { (x² - 1 )/x²}]^(-1/2)=4

=> [ (x² - x² + 1 )/x² ]^(-1/2)=4

=>[ 1/x² ]^(-1/2)=4

=>[ x²]^(1/2)=4

=> [x]^(2×1/2)=4

=> x = 4. [ Ans.]

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Important identity

• (a^m)^n = a^(m×n)
• a^(-m) = 1/a^m

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