What is the value inside the radical when solving this equation using the quadratic...
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Problem
What is the value inside the radical when solving this equation using the quadratic formula? 5x^2 + 7x + 3 = 0
Step-by-step solution
The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. The value inside the radical is the discriminant, $b^2 - 4ac$. For the equation $5x^2 + 7x + 3 = 0$, $a=5$, $b=7$, and $c=3$. Thus, the discriminant is $7^2 - 4(5)(3) = 49 - 60 = -11$.
Answer
-23