Question

9. 2xsquare+x+4=0 find the roots by using quadratic formula.​

Answer 1

Step-by-step explanation:

ANSWER

The given quadratic equation is

$2x + x - 4 = 0$

${x}^{2} + \frac{x}{2} - 2 = 0$

${x}^{2} + \frac{x}{2} = 2$

On adding both sides 1/16 we get

${x}^{2} + \frac{x}{2} + \frac{1}{16} = 2 + \frac{1}{16}$

$(x + \frac{1}{4} )^{2} = \frac{33}{16}$

$x + \frac{1}{4} = ± \frac{ \sqrt{33} }{4}$

$x = \frac{± \sqrt{33} }{4} - \frac{1}{4}$

Therefore Answer Is =>

$x = \frac{ - 1 - \sqrt{33} }{4} and \frac{ - 1 + \sqrt{33} }{4}$