What are the zeros of the function y=2x^2+9x+4?
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Answer: OPTION A
Step-by-step explanation:
To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:
- You must rewrite it as following:
[tex]2x^2+9x+4=0[/tex]
-You can apply the Quadratic formula, which is shown below:
[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]
In this case:
[tex]a=2\\b=9\\c=4[/tex]
- Therefore, when you substitute values, you obtain:
[tex]x=\frac{-9\±\sqrt{(9)^2-4(2)(4)}}{2(2)}[/tex]
[tex]x_1=-4\\\\x_2=-\frac{1}{2}[/tex]