Question

x^2-5x+6 factories
solve this questions step by step please ​

Answer 1

Answer:

(x-2) (x-3)

Step-by-step explanation:

x^2-5x+6

=x^2-3x-2x+6

=x(x-3)-2(x-3)

=(x-2) (x-3)

Answer 2

$\bf{\huge{\underline{\boxed{\sf{\purple{Answer:}}}}}}$

$\bf{\underline{\sf{\green{Given\:equation:}}}}$

• x² - 5x + 6

$\bf{\underline{\sf{\green{To\:find:}}}}$

• Value of x for which the LHS = RHS.

$\bf{\underline{\sf{\green{Solution}}}}$

=> $\sf {x^2 - 5x + 6 = 0}$

=> $\sf{ x^2 - 3x - 2x + 6 = 0}$

=> $\sf{ x ( x - 3) - 2 ( x - 3 ) = 0}$

=>$\sf{ (x - 3 ) ( x - 2) = 0}$

=> $\sf{x - 3 = 0\:\:\:\:\: OR\:\:\:\:\: x - 2 = 0 }$

=>$\sf{ x = 3\:\:\:\:\: OR\:\:\:\: x = 2 }$

Roots of the equation x² - 5x + 6 are 3, 2.

$\bf{\huge{\underline{\boxed{\sf{\red{Verification:}}}}}}$

When, x = 3

=> x² -5x + 6 = 0

=> 3² - 5 (3) + 6 = 0

=> 9 - 15 + 6 = 0

=> 9 - 9 = 0

=> 0 = 0

LHS = RHS.

When, x = 2,

=> x² -5x + 6 = 0

=> (2)² - 5 (2) + 6 = 0

=> 4 - (10) + 6 = 0

=> 4 - 10 + 6 = 0

=> 4 - 4 = 0

=> 0 = 0

LHS = RHS.

Hence verified.