Question

√6x^2-4x-2√6=0
Please solve this quadratic equation using formula
X= -b+-√b^2-4ac/2a

Answer 1

Answer:

X=[4+-v(16+48)]/2v6

=(4+-8)/2v6

=v6 or - 2/v6

Answer 2

Answer:

x = √6 , $-\sqrt{\frac{2}{3} }$

Step-by-step explanation:

Q.E. = √6x² - 4x - 2√6

a = √6 , b = -4 , c = -2√6

Quadratic formula =$\frac{-b+- \sqrt{b^2 - 4ac} }{2a}$

= $\frac{-(-4) +-\sqrt{(-4)^2 - 4\sqrt{6}(-2\sqrt{6}) } }{2\sqrt{6} }$

= $\frac{4 +- \sqrt{16 + 4(12)} }{2\sqrt{6} }$

= $\frac{4 +- \sqrt{64} }{2\sqrt{6} }$

= $\frac{4 + 8}{2\sqrt{6} }$ , $\frac{4 - 8}{2\sqrt{6} }$

= $\frac{12}{2\sqrt{6} }$ , $\frac{-4}{2\sqrt{6} }$

= $\frac{6}{\sqrt{6} }$ , $\frac{-2}{\sqrt{6} }$

= √6 , $\frac{-\sqrt{2}(\sqrt{2}) }{\sqrt{2}(\sqrt{3} ) }$

= √6 , $-\sqrt{\frac{2}{3} }$