solve the following quadratic equation by factoring

Question

x²−14x+49=0

 

Answer 1

x²-14x+49=0

49=7*7 and 7+7=14

this a square trinomial

(x-7)(x-7)=0

x-7=0

x=7

both roots are equal to 7

this is called a multiple root or in this case a double root

Answer 2

x² - 14x + 49 = 0

(x - 7)(x - 7) = 0

x = 7