
Jay T. answered 11d
Retired Engineer/Math Tutor
The quadratic formula states that the roots of any quadratic equation, ax2+bx+c = 0 are given by
Roots = -b ± √(b2-4ac)
2a
In this problem, we have x2 + 7x + 1 = 0
a = 1
b=7
c=1
Plugging these into the quadratic formula, we have
Roots = -7 ± √(72 – 4(1)(1)
2(1)
= -3.5 ± ½√45
So
Roots are -3.5 + ½√45 and -3.5 - ½√45 or ≈ - 6.854 and -0.146