Answer:
A.
Step-by-step explanation:
1) to rewrite the given equation:
f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;
2) the roots are:
[tex]\left[\begin{array}{ccc}x=-\sqrt{\frac{11}{2}}-2 \\x=\sqrt{\frac{11}{2}}-2 \end{array}[/tex]
3) finally, the correct answer is A.
