4x^2 +6x = -1
To use the quadratic formula, this needs to be in the form ax^2 +bx +c =0
4x^2 +6x +1 =0
a = 4 b = 6 and c = 1
The quadratic formula is
x = -b +- sqrt(b^2 -4ac)
-------------------------------
2a
x = -6 +- sqrt(6^2 - 4(4)(1))
-------------------------------
2(4)
x = -6 +- sqrt(36-16)
-------------------------
8
x = -6 +- sqrt(20)
--------------------
8
Taking the + solution first
x = -6+sqrt(20)
----------------- = -.190983006
8
x = -6 -sqrt(20)
------------------ = -1.309016994
8
Rounding to the nearest hundredth
-1.31, -.19