solution of the equation

Question

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

Answer 1

For equations of the form: ax²+bx+c=0, use the quadratic formula:

 

x=[-b±√(b²-4ac)]/2a

 

2x²+6x=1  (first set equation to zero)

 

2x²+6x-1=0

 

a=2

b=6

c=-1

 

 

x=[-b±√(b²-4ac)]/2a

 

 =[-6±√(6²-4(2)(-1))]/2(2)

 

 =[-6±√(36+8)]/4

 

 =[-6±√(44)]/4

 

 =[-6±2√11]/4

 

 =[-3±√11]/2