WHAT IS THE BHASKARA FORMULA ANSWERS FOR THAT ONE? 2x+8x-10

To solve the quadratic equation \( 2x^2 + 8x - 10 = 0 \) using the **Bhaskara formula** (also known as the quadratic formula), we follow these steps:

The quadratic formula is:

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

Where:
- \(a\) is the coefficient of \(x^2\),
- \(b\) is the coefficient of \(x\),
- \(c\) is the constant term.

For the equation \( 2x^2 + 8x - 10 = 0 \):
- \(a = 2\),
- \(b = 8\),
- \(c = -10\).

### Step-by-step solution:

1. **Calculate the discriminant** (\( \Delta \)):
   \[
   \Delta = b^2 - 4ac = 8^2 - 4(2)(-10) = 64 + 80 = 144
   \]

2. **Apply the quadratic formula**:
   \[
   x = \frac{-b \pm \sqrt{\Delta}}{2a} = \frac{-8 \pm \sqrt{144}}{2(2)}
   \]
   \[
   x = \frac{-8 \pm 12}{4}
   \]

3. **Solve for the two possible values of \(x\)**:
   - \( x_1 = \frac{-8 + 12}{4} = \frac{4}{4} = 1 \)
   - \( x_2 = \frac{-8 - 12}{4} = \frac{-20}{4} = -5 \)

### Final Answer:
The solutions are:
\[
x_1 = 1, \quad x_2 = -5
\]

Would you like further clarification or more details on any step?

### Related Questions:
1. How do you derive the quadratic formula?
2. What is the geometric interpretation of the solutions to quadratic equations?
3. Can you solve a quadratic equation using factoring?
4. How does the discriminant affect the nature of the roots in a quadratic equation?
5. What are the applications of the quadratic formula in real-life scenarios?

### Tip:
Always check the discriminant (\( \Delta \)) to determine if the roots are real, imaginary, or repeated!

Learn how to solve the quadratic equation 2x^2 + 8x - 10 using the Bhaskara (quadratic) formula. This detailed step-by-step solution explains key algebra concepts, including discriminants and solving quadratic equations. Ideal for students in Grades 7-9.

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