What are the approximate solutions

Question

What are the approximate solutions of 2x² - 7x = 3 rounded to the nearest hundredth? 

 

A. No real solutions 

B. x = - 0.77 and x = 7.77

C. x = -0.39 and x = 3.89 

D. x = -3.89 and x = 0.39

        

Answer 1

use the quadratic formula

2x²-7x=3

2x²-7x-3=0

[-b±√(b²-4ac)]/2a

[7±√(49+24)]/4

[7±√73]/4

(7±8.544)/4

15.544/4 and -1.544/4

3.886  and  -0.386

x=3.89 and x=-0.39 which is C)