Original equation deformation:

√(x？ -2) = 14 - 7x

Both sides are squares;

x？ -2 = ( 14-7x)？

x？ -2 = 14? -2x 14x7x+(7x)？

x？ -2 = 196- 196x+49x？

Transfer project merger:

48x？ - 196x+ 198 = 0

24x？ -98x+99 = 0

According to the root formula, x = [-b √ (b? -4ac)]/2a, available:

x=[98 √(98？ -4x24x99)] / 48

x=[98 √(9604-9504)] / 48

=(98 10) 48

Therefore:

X=9/4 or x = 1 1/6.

Introducing the original equation to verify;

X=9/4 is its root,

X= 1 1/6 is also its root.

Therefore, the original equation has two roots:

X=9/4，x= 1 1/6。