https://file.aiquickdraw.com/mathbot/file/1725693390630jec0gh39.jpg

The equation in the image is:

\[
3x^2 - 10x + 8 = 0
\]

To solve this quadratic equation, we can use the quadratic formula:

\[
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

where \(a = 3\), \(b = -10\), and \(c = 8\). Let's calculate the roots of the equation using these values.The solutions to the equation \(3x^2 - 10x + 8 = 0\) are:

\[
x_1 = 2 \quad \text{and} \quad x_2 = \frac{4}{3} \approx 1.333
\]

Would you like more details or have any other questions?

Here are some related questions you might find helpful:

1. How can you factorize the quadratic equation \(3x^2 - 10x + 8 = 0\)?
2. What are the steps to derive the quadratic formula?
3. How do you determine the nature of the roots of a quadratic equation using the discriminant?
4. What are some applications of quadratic equations in real life?
5. How can completing the square be used to solve quadratic equations?

**Tip:** Always check the discriminant (\(b^2 - 4ac\)) before solving a quadratic equation to determine if the roots are real, repeated, or complex.

Solve the quadratic equation 3x^2 - 10x + 8 = 0.

Learn how to solve the quadratic equation 3x^2 - 10x + 8 using the quadratic formula. This step-by-step guide explains the process of finding the solutions, suitable for students in Grades 8-10.

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