Answer:
Step-by-step explanation:
[tex]2x^{2} + x - 4 = 0\\[/tex]
divide by 2 throughout
[tex]x^{2} + \frac{x}{2} = \frac{4}{2}[/tex]
[tex]x^{2} +2 * \frac{x}{4} +( \frac{1}{4}) ^{2} = 2 + ( \frac{1}{4}) ^{2}\\[/tex]
[tex](x+\frac{1}{4} ^{2} ) = 2 + (\frac{1}{4} )^{2} \\[/tex]
