Respuesta :

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]

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