Question

Rationalise x²-12x+27​

Answer 1

Answer:

you can get your answer method in textbook

Step-by-step explanation:

Mark as brainlist answer

Answer 2

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\red{Given :-}}}}}$

• $\sf{x^2 - 12x + 27}$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\orange{Steps\:to\: Solve:-}}}}}$

$\:\:\::\implies\:\:\sf{x^2 - 12x + 27}$

$\:\:\::\implies\:\:\sf{x^2 - 3x -9x+27}$

$\:\:\::\implies\:\:\sf{x\times(x-3)-9x+27}$

$\:\:\::\implies\:\:\sf{x\times(x-3)-9(x-3)}$

$\:\:\::\implies\:\:{\underline{\boxed{\sf{\purple{(x-3)\times(x-9)}}}}}$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\pink{Graph\: Details :-}}}}}$

$\bigstar\:\:\sf{y = x^2 - 12x + 27}$

• $\textrm{Roots (3, 0) (9, 0)}$

• $\rm{Domain\:\:x \in {\mathbb{R}}}$

• $\rm{Range\:\:y\in(-9, \:+\infty)}$

• $\rm{Minimum \:\:(6,\: -9)}$

• $\rm{Vertical \: Intercept \:\:(0,\:27)}$