Question

The area of rectangle is x²-5x+6. If its length is (x-3) find its breath ​

Answer 1

A = x2-5x+6

L= x-3

b=?

Formula: b= A/L

=x2-5x+6/x-3

= (x2-3x-2x+6)/x-3

=[x(x-3)-2(x-3)]/x-3

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

=(x-2) m

Answer 2

Answer:

x-2

Step-by-step explanation:

• Area of Rectangle= Length *Breadth

=> Breadth= Area of Rectangle/ Length of Rectangle

=> Breadth = x^2 -5x +6 / (x-3)

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

= (x-2)

NOTE: Here we can solve the given quadratic equation by silpiting its midde term:

x^2 -5x +6 = x^2 -3x-2x +6

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

= (x-2)(x-3)