Answer:
To find p and q which are the roots we must first solve the quadratic equation above.
3x² - 16x + 2 = 0
Using the quadratic formula
x = - b ± √b² - 4ac / 2a
where a = 3 b = -16 c = 2
Substitute the above values into the formula
x = --16±√(-16)² - 4(3)(2)/2(3)
x = 16±√ 256 - 24 / 6
x = 16± √ 232/6
After solving
x = 8 + √58 / 3 or x = 8 - √58 / 3
Therefore p = 8 + √58 / 3 and
q = 8 - √58 / 3
So p + ( 1 + p) is
= 8 + √58 / 3 + ( 1 + 8+√58 / 3)
= 19 + 2√58/3 or 11.41
Hope this helps.
