If-x-1-2016-2-then-4x-3-2019x-2017-equals-

Question Number 111534 by Aina Samuel Temidayo last updated on 04/Sep/20

If x = \frac{1 + \sqrt{2016}}{2}, then

{4 x}^{3} - 2019 x - 2017 equals ?

Answered by Lordose last updated on 04/Sep/20

★ - 2

Answered by 1549442205PVT last updated on 04/Sep/20

{4 x}^{3} - 2019 x - 2017 = 4 \times \frac{1 + 3 \sqrt{2016} + 3.2016 + 2016 \sqrt{2016}}{8}

- \frac{2019 + 2019 \sqrt{2016}}{2} - 2017

= \frac{2019 \sqrt{2016} + 6049 - 2019 - 2019 \sqrt{2016}}{2} - 2017

= \frac{4030}{2} - 2017 = 2015 - 2017 = - 2

Commented by Aina Samuel Temidayo last updated on 04/Sep/20

Thanks .