If x= 5 12 for some x ( , 3 2 ) , then 7 x ( 13 x 2 + 13 x 2 )+ 7 x ( 13 x 2 - 13 x 2 ) is equal to

Step-by-step solution

x = 5 12 x = -5 13 = 2 ^2 x 2 - 1 ( x 2 ) = - 2 13 or 2 13 (rejected) x 2 ( 2 , 3 4 ) ( 7x 13x 2 + 7x 13x 2 ) + ( 7x 13x 2 - 7x 13x 2 ) (7x - 13x 2 ) + (7x - 13x 2 ) x 2 + ( x 2 ) 3 13 - 2 13 = 1 13