Question

13.Give the possible expressions for the length and breadth of the rectangle whose are is given by i)8x^2 -9x +1

Answer 1

Answer:

8x^2-9x+1

= 8x^2-(8+1)x+1

=8x^2-8x-x+1

=8x(x-1)-1(x-1)

=(x-1)(8x-1)

length= (8x-1)

breadth= (x-1)

Answer 2

Answer:

see below

Step-by-step explanation:

factorise : 8x^2 -9x +1

standard form : 8 [ x^2 -9x/8 +1/8 ]

Identify : x² - ( a+b)x + ab = (x+a) (x+b)

take : a = -1/8 & b = -1

hence ....

8x^2 -9x +1 = 8 [ ( x - 1/8 ) ( x - 1 ) ]

= (8x - 1) (x - 1) or

= ( x - 1/8 ) ( 8x - 8) or

= ( 4x - 1/2) ( 2x - 2) or

= ( 2x - 1/4) ( 4x - 4)

but...

Area = l × b

therefore.....

l = (8x - 1) or( x - 1/8 ) or( 4x - 1/2)or (2x - 4)

b = (x - 1) or ( 8x - 8) or ( 2x - 2) or ( 4x - 4)

note :

* check at each time l > b & then only decide as above

* 8 = 8 × 1 or 1 × 8 or 4×2 or 2 × 4