Question

Simplify 2.07+0.511(x-2.5/0.5)+0.061(x-2.5/0.5)^2

Answer 1

Answer:

0.061x² - 0.099‬x + 1.04

Step-by-step explanation:

2.07 + 0.511 (x - 2.5/0.5 ) + 0.061 (x - 2.5/0.5)²

=2.07 + 0.511 (x - 5 ) + 0.061 (x - 5)²

Using (a + b)² = a² + b² -2ab

=2.07 + 0.511 (x - 5 ) + 0.061 (x² + 25 - 10x)

=2.07 + 0.511x - 2.555  + 0.061x² + 1.525 - 0.61x

Re-arranging,

= 0.061x² + 0.511x - 0.61x + 2.07 - 2.555 + 1.525  

= 0.061x² - 0.099‬x + 1.04