X2– 25 = 0THIS EQUATION IS ALREADY IN STANDARD FORM. THIS EQUATION...

1. x

²

– 25 = 0This equation is already in standard form. This equation is a special case; it is the differencebetween two perfect squares. To factor this, find the square root of both terms.The square root of the first term x

²

is x.The square root of the second term 25 is 5.Then two factors are x– 5 and x+ 5.The equation x

²

– 25 = 0then becomes (x– 5)(x+ 5) = 0Set each factor equal to zero and solve x– 5 = 0 or x+ 5 = 0x= 5 or x= –5The solution is {5, –5}.