Find the solutions of the equation 2x2 + 6x = 1. Show work

For equations of the form: ax

^{2}+bx+c=0, use the quadratic formula:x=[-b±√(b

^{2}-4ac)]/2a2x

^{2}+6x=1 (first set equation to zero)2x

^{2}+6x-1=0a=2

b=6

c=-1

x=[-b±√(b

^{2}-4ac)]/2a =[-6±√(6

^{2}-4(2)(-1))]/2(2) =[-6±√(36+8)]/4

=[-6±√(44)]/4

=[-6±2√11]/4

=[-3±√11]/2