(d)
This equation does not factor, but we can solve using the quadratic formula
x = ( - b ± √(b² - 4ac) )/ 2a
given the equation in standard form : ax² + bx + c = 0
divide through by - 1, to obtain
x² + 7x + 2 = 0
with a = 1, b = 7 and c = 2, then
x = ( - 7 ± √(49 - 8) ) / 2
= ( - 7 ± √41 ) / 2
x = - [tex]\frac{7}{2}[/tex] ± √41 / 2 → (d)
