Answer:
x=(-1+i√119)/4
AND
x=(-1-i√119)/4
Step-by-step explanation:
[tex]2x^{2} +x+15=0[/tex]
step1: identify a,b and c from the equation.
a=2
b=1
c=15
step2: use the quadratic formula.
[tex]x=\frac{-b+or- √b^{2}-4ac }{2a}[/tex]
(sub a,b and c)
[tex]x=\frac{-1+or- √1^{2}-4*2*15 }{2*2}[/tex]
(simplify)
[tex]x=\frac{-1+or-√-119}{4}[/tex]
(write the two possible answers)
[tex]x=-\frac{1+i√119}{4}[/tex]
AND
[tex]x=-\frac{1-i√119}{4}[/tex]
