1.

Solve by using quadratic formula 2x²+x+4=0​

Answer»

Step-by-step EXPLANATION:

a {x}^{2} + bx + c = 0

has roots as

\frac{ - <klux>B</klux> +  \sqrt{ {b}^{2} - 4ac } }{2a} \: and \:  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}

Comparing with

2 {x}^{2} + x + 4 = 0

we get a=>2,b=>1 and c=>4 so roots are

\frac{ - 1 +  \sqrt{1 - 4 \times 2 \times 4}}{4} \: and \:  \frac{ - 1 -  \sqrt{1 - 4 \times 2 \times 4} }{4}

=  >  \frac{ - 1  +  \sqrt{ - 31} }{4}  \: and \:   \frac{ - 1 -  \sqrt{31} }{4}

Hope it helps you.



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