Question

The expression x^2-8x+6 can be written in the form (x-p)^2+q

Answer 1

Answer:(x-4)^2-10

Explanation:

Answer 2

The expression x^2-8x+6 can be rewritten as (x-4)^2-10 by completing the square, which involves finding a value to create a perfect square trinomial and adjusting for the constant difference.

Certainly! We want to express ˣ²-8x +6 in the form ⁽ˣ⁻ᵖ⁾² + q Let's complete the square to achieve this.

ˣ²- 8x + 6, we complete the square on the quadratic term:

ˣ²−8x+6=(ˣ² −8x+16)−16+6

Now, factor the perfect square trinomial:

(ˣ⁻⁴)² -10

so the expression ˣ² - 8x +6 can be written in the form ⁽ˣ⁻⁴⁾² - 10 Comparing this with the desired form ⁽ˣ⁻ᵖ⁾² + q . we have p-4 and q-10