Solve by the quadratic formula. List the solutions, separated by commas. \[ 3 x^{2}+1 x-10=0 \] \[ x= \] Question Help: $\square$ Message instructor Submit Question

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 \(\boxed{-2.0}\).