**X² – 11x + 28 = 0**, we need to factorize it. First, find two numbers that multiply to give 28 and add up to -11. The factors are -7 and -4. So, we can rewrite the equation as **(X – 7)(X – 4) = 0**. Now, set each factor equal to zero: **X – 7 = 0** or **X – 4 = 0**. Therefore, **X = 7** or **X = 4**. The solutions to **X² – 11x + 28 = 0** are **X = 7** and **X = 4**.

**Question: Use the quadratic formula to find the roots of the quadratic equation x² – 11x + 28 = 0.**

**4 and 7**- -4 and -7
- 2 and 14
- -2 and -14

**Answer: ****A. 4 and 7**.

## x² – 11x + 28 = 0 Solution:

The quadratic formula is: x = (-b ± √(b^2 – 4ac)) / 2a

- where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = -11, and c = 28.

Substituting these values into the quadratic formula, we get:

`x = (11 ± √(-11^2 - 4 * 1 * 28)) / 2 * 1`

- x = (11 ± √(121 – 112)) / 2
`x = (11 ± √9) / 2`

- x = (11 ± 3) / 2
- x = 4 or 7

In conclusion, by applying the quadratic formula to the given equation, we find that the roots are x = 7 and x = 4, which matches option A.

- By following this step-by-step solution, you have successfully solved the quadratic equation using the quadratic formula.

We can solve the equation using the quadratic formula, which is a general formula for solving quadratic equations. Great! I’ve been making significant progress in solving these quadratic equations problems. Let’s solve the equation. We can solve the equation using the quadratic formula, which is a general formula for solving quadratic equations.

The equation “**X*X*X is Equal to 2022**” is a mathematical expression where three identical numbers, represented by X, multiply to give the product of 2022. Solving this requires finding the cube root of 2022. By estimating, we find that X is approximately 12.6348. This means that if you multiply 12.6348 by itself three times, the result will be close to 2022. Understanding this equation provides insight into how numbers interact through multiplication. The expression “X*X*X is equal to 2022″ showcases the beauty of math and how it helps solve real-world problems efficiently.