Step 1 :Given the quadratic equation \(x^{2}+3 x-10 = 0\)
Step 2 :We can find the roots of this equation using the quadratic formula \(\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
Step 3 :Here, \(a = 1\), \(b = 3\), and \(c = -10\)
Step 4 :Substituting these values into the quadratic formula, we get the roots of the equation
Step 5 :The roots of the equation are 2.0 and -5.0. These are the values of x that make the equation equal to zero
Step 6 :Final Answer: The roots of the equation \(x^{2}+3 x-10\) are \(\boxed{2.0}\) and \(\boxed{-5.0}\)