C.SINCE X2– 25 IS THE DIFFERENCE BETWEEN TWO PERFECT SQUARES, ITS...

56. c.Since x

²

– 25 is the difference between two perfect squares, its factors are (x– 5) and (x+ 5). State-ment (1) gives the value ofx– 5. Statement (2) can be changed from 4 – x= 5 to 4 = x+ 5 by adding xto both sides of the equation. Since you now know the numerical value of each factor, you can find thenumerical value ofx

²

– 25.