Final answer:
To solve the equation 1(x² - ³5x + ³8) = 8(⁸x - ⁷), we can use the quadratic formula to find the values of x. The equation is x² - 69x + ⁶⁴ = 0. By plugging the values into the quadratic formula, we obtain x ≈ 5.53 or x ≈ 1.16. Therefore, none of the given answer choices is correct.
Step-by-step explanation:
To solve the equation 1(x² - ³5x + ³8) = 8(⁸x - ⁷), we can start by distributing the numbers outside the parentheses. This gives us x² - ³5x + ³8 = 64x - ⁵⁶. We then combine like terms and move all terms to one side of the equation to obtain x² - ³5x - 64x + ³8 + ⁵⁶ = 0. Simplifying further, we get x² - 69x + ⁶⁴ = 0.
This is a quadratic equation and can be solved using a variety of methods, such as factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula. Plugging the values into the formula, we get x = (-(69) ± √((69)² - 4(1)(64)))/(2(1)). Calculating this, we find that x ≈ 5.53 or x ≈ 1.16. Therefore, none of the answer choices A), B), C), or D) is correct.