Question

solving equation (1+x) power 2/3 + (1-x) power 2/3 =4(1-xsquare
) power 1/3 are, value of x​

Answer 1

Answer:

x= -3/4

Step-by-step explanation:

(1+x)^2/3+(1-x)^2/3=4(1-x^2)^1/3

=(1+x+1-x)^2/3=4(1-x)^1/3

=(2)^2/3=4(1-x^2)^1/3[as +x and -x cancels]

=(1-x^2)^1/3=(2/4)^2/3

={(1-x)^2}^1/3={(1/2)^2}^2/3

=(1-x)^2/3={(1/2)^2}^2/3

=(1-x)=(1/2)^2[as same powers ]

=1-x=1/4

=-x=1/4-1

=-x=1-4/4

=-x=-3/4

=x=3/4[as - and - cancels]

so, x=3/4