Question

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

Answer 1

NO REAL SOLUTIONS

and complex solutions:
`\bold{x_1=\frac{ i\,√(46)}2\ ,\quad x_2=-\frac{ i\,√(46)}2}`

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\,√(46)}2\\\\ x_1=\frac{ i\,√(46)}2\ ,\quad x_2=-\frac{ i\,√(46)}2`

Answer 2

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