Question

2x square +x +4=0 Given a given quadratic equation if possible Find the perfect way​

Answer 1

Answer:

2x²+x+4=0

2x²+x = -4

2x²/2+x/2= -4/2

x²+x/2= -2

x²+2*x/2*2 = -2

x²+2*x/4 = -2

x²+2*x*1/4 = -2

x²+2*x*1/4+(1/4)²-(1/4)² = -2

x²+2*x*1/4+(1/4)² = -2 +(1/4)²

(x+1/4)² = -2+1/16

(x+1/4)² =1/16-2

(x+1/4)² = 1-32/16

(x+1/4)² = 31/16

(x+1/4) =

$\binom{+}{-} \sqrt{31/16}$

(x+1/4)=$\binom{+}{-} \sqrt{31} / \sqrt{16}$

(x+1/4) =

$\binom{+}{-} \sqrt{31} /4$

(x+1/4) =

$\binom{+}{-} { \sqrt{31} }^{2} / {4}^{2}$

(x+1/4) =

$\binom{+}{-} 31/16$

x=+-(31/16-1/4)

$\alpha =31/16+1/4$

$\alpha =31+4/16$

$\alpha =35/16$

x=-31/16+1/4

$\beta =-31/16-1/4$

$\beta =-31-4/16$

$\beta =-35/16$

$\alpha = 27/16</p><p>$

$\beta =-35/16$