Question

${x}^{2} - 30x + 221 = 0$

Answer 1

Heya !!!



X² - 30X + 221 = 0



★ Coefficient to X² × Constant term = 1 × 221 = 221



We try to split 221 in two parts such that their sum or Subtraction will be -30 and product will be 221 .


Clearly,


-17 - 13 = -30

And,


-17 × -13 = 221



So,


X² - 30X + 221


X² - 17X - 13X + 221


X ( X - 17 ) - 13 ( X - 17 )


( X - 17 ) ( X - 13 ) = 0



( X - 17 ) = 0 OR ( X - 13 ) = 0


X = 17 OR X = 13


★ HOPE IT WILL HELP YOU ★

Answer 2

x^2-30x+221=0
x^2-13x-17x+221=0
x(x-13)-17(x-13)=0
(x-13)(x-17)=0
therefore,
either x=13
or x=17