Question

Explain how to simplify the rational expression x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8. (be sure to include the simplified rational expression)

Answer 1

Answer:

267x2 -8x -8 where

x=- 4± 2√ 538/267

Step-by-step explanation:

x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8

= x2  -89x2 - 16x2 - 163x2  - 2x+ 10 x + 8

= -267x2+8x +8

= 267x2 -8x -8

First the like terms are arranged and then added . All the co efficients of x2 are added and x are added separately.

Using the quadratic equation to find the value of x

a= 267 , b= -8 and c= -8

x= -b±√b²- 4ac/ 2a

x= -8±√64 +8544/534

x= -8±√8608/534

x=-8±√ 2 x 2 x 2 x 2 x 2 x 269/534

x=-8± 4√ 2 x 269/534

x=- 4± 2√ 2 x 269/267

x=- 4± 2√ 538/267