Problem

Choose all of the zeros of the function \( f(x)=2 x^{2}+9 x-5 \).
5
\( \square 1 \square \frac{1}{2} \)
\( -\frac{1}{2} \)
\( -5 \)

Answer

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Answer

\( x = -\frac{1}{2}, \frac{5}{2} \)

Steps

Step 1 ：\( f(x) = 2 x^{2}+9 x-5 \)

Step 2 ：\( x = \frac{-9 \pm \sqrt{9^2 - 4(2)(-5)}}{ 2(2) } \)

Step 3 ：\( x = -\frac{1}{2}, \frac{5}{2} \)

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