The correct answer is Option (C) [tex]\frac{-1-i\sqrt{31} }4}[/tex]
What is discriminant?
- The discriminant is the part of the quadratic formula underneath the square root.
- The formula of Discriminant is [tex]b^{2} -4ac[/tex]
How to solve the problem?
The problem can be solved by following steps
- The given equation is 2x^2 + x +4.
- Compare this equation with general equation ax^2+bx+c=0
- The value of a= 2 , b = 1 , c= 4.
x =[tex]\frac{ -b ± \sqrt{b^2-4ac} }{2a}[/tex]
x = [tex]\frac{ -1 ± \sqrt{1^2-4(2)(4)} }{2(2)} \\\frac{ -1 ± \sqrt{1-32} }{4} \\= \frac{ -1 ± \sqrt{-31}}{4} \\\\= \frac{ -1 ± \sqrt{-31i^2}}{4} \\\\\\= \frac{ -1 ± i\sqrt{-31}}{4}\\[/tex]
Hence Option (C) is Correct
Learn more about Discriminant here
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