Question

-27=2x^2-4 PLEASE HELP ASAP

Answer 1

X = [ (i sqrt46) / (2) ] ; - [ (i sqrt46) / (2) ]

Answer 2

Answer:

               NO REAL SOLUTIONS

and complex solutions:  $\bold{x_1=\frac{ i\,\sqrt{46}}2\ ,\quad x_2=-\frac{ i\,\sqrt{46}}2}$

Step-by-step explanation:

-27 = 2x² - 4

-2x² = 27 - 4

-2x² = 23

 x² = -23/2

means NO REAL SOLUTIONS  

(as there is no real number that put instead of x gives value less then 0)

However in complex numbers we have:

$x=\pm\sqrt{-\frac{23}2}=\pm\sqrt{\frac{23}2}\cdot i=\pm\, i\sqrt{\frac{46}4}=\pm\frac{ i\,\sqrt{46}}2\\\\ x_1=\frac{ i\,\sqrt{46}}2\ ,\quad x_2=-\frac{ i\,\sqrt{46}}2$