Solve by the quadratic formula. List the solutions, separated by commas.
\[
3 x^{2}+1 x-10=0
\]
\[
x=
\]
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Answer
Final Answer: The solutions to the equation are \(\boxed{1.67}\) and \(\boxed{-2.0}\).
Step 1 ：Given the quadratic equation \(3x^2 + x - 10 = 0\), we can identify the coefficients as \(a = 3\), \(b = 1\), and \(c = -10\).
Step 2 ：We can substitute these values into the quadratic formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).
Step 3 ：Calculate the discriminant \(D = b^2 - 4ac = 121\).
Step 4 ：Substitute \(a\), \(b\), and \(D\) into the quadratic formula to find the solutions for \(x\).
Step 5 ：The solutions to the equation are \(x1 = 1.67\) and \(x2 = -2.0\).
Step 6 ：Final Answer: The solutions to the equation are \(\boxed{1.67}\) and \(\boxed{-2.0}\).
