3x + x" - 5 = 0
x" + 3x + (3/2)" - 9/4 - 20/4 = 0
( x + 3/2 )" - 29/4 = 0
( x + 3/2 - √29 /2 )( x + 3/2 + √29 /2 ) = 0
( 2x + 3 - √29 )( 2x + 3 + √29 ) = 0
解方程
x1 = ( - 3 + √29 ) /2,
x2 = ( - 3 - √29 ) /2
3x + x" - 5 = 0
x" + 3x + (3/2)" - 9/4 - 20/4 = 0
( x + 3/2 )" - 29/4 = 0
( x + 3/2 - √29 /2 )( x + 3/2 + √29 /2 ) = 0
( 2x + 3 - √29 )( 2x + 3 + √29 ) = 0
解方程
x1 = ( - 3 + √29 ) /2,
x2 = ( - 3 - √29 ) /2