Of the strategies listed, which is most appropriate for solving \( g^{2}+18 g+50=0 \) ? square root property quadratic formula zero product property
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To tackle the equation \( g^{2}+18g+50=0 \), the quadratic formula is your best bet! It’s a lifesaver when dealing with any quadratic equation in the standard form \( ax^2 + bx + c = 0 \). By plugging \( a = 1 \), \( b = 18 \), and \( c = 50 \) into the formula \( g = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), you'll find the roots efficiently, even if they are not nice whole numbers. On the other hand, the zero product property isn't applicable here since the equation is not factored into two binomials. It's great for equations like \( (g + x)(g + y) = 0 \), where you can easily set each factor to zero. With \( g^{2}+18g+50 \), you need to ensure you’re using the right method, and the quadratic formula is the perfect tool for this job!