A real value of x will satisfy the equation 3 - 4 i x 3 + 4 i x = α - i β   ( α , β   a r e   r e a l ) , if

Question

A real value of x will satisfy the equation 3 - 4 i x 3 + 4 i x = &#945; - i &#946; &#160; ( &#945; , &#946; &#160; a r e &#160; r e a l ) , if

Aicharya · Accepted Answer

Given, &#945; - i &#946; = 3 + i ( - 4 x ) 3 + i ( 4 x ) &#8658; &#945; + i - &#946; = 3 + i ( - 4 x ) 3 + i ( 4 x ) &#8658; &#945; + i - &#946; = | 3 + i ( - 4 x ) | | 3 + i ( 4 x ) | &#8658; &#945; 2 + &#946; 2 = 3 2 + - 4 x 2 3 2 + 4 x 2 &#8658; &#945; 2 + &#946; 2 = 9 + 16 x 2 9 + 16 x 2 &#160; &#8658; &#945; 2 + &#946; 2 = 1

A real value of x will satisfy the equation 3 - 4 i x 3 + 4 i x = α - i β   ( α , β…

Solution

A real value of x will satisfy the equation 3 - 4 i x 3 + 4 i x = &#945; - i &#946; &#160; ( &#945; , &#946;…

Solution

A real value of x will satisfy the equation 3 - 4 i x 3 + 4 i x = α - i β ( α , β…