( ⁻¹ x )^2+ ( ⁻¹ x )^2= 5 ^2 8 x=

Step-by-step solution

Given equation is gathered ( ⁻¹ x )^2+ ( ⁻¹ x )^2= 5 ^2 8 ( ⁻¹ x+ ⁻¹ x )^2-2 ⁻¹ x ⁻¹ x= 5 x^2 8 [ ⁻¹ x+ ⁻¹ x= 2 ] gathered aligned & ^2 4 -2 ⁻¹ x ( / 2- ⁻¹ x )= 5 ^2 8 & -2 ⁻¹ x 2 +2 ( ⁻¹ x )^2= 5 ^2 8 - ^2 4 & ( ⁻¹ x )^2- ⁻¹ x 2 = 3 ^2 16 aligned array cc & ⁻¹ x= 2 ^2 4 + 3 ^2 4 2 & ⁻¹ x= 2 2 & = 3 4 ,- 4 array array ll & x= ( 3 4 ), (- 4 ) & x=-1,-1 array