Question

X^2+7x-11=0 using completing the square method

Answer 1

To solve the equation x² + 7x - 11 = 0 using the completing the square method, we need to transform it into a perfect square trinomial. We can then solve for x by factoring the trinomial.

Step-by-step explanation:

To solve the equation x² + 7x - 11 = 0 using the completing the square method, we want to transform the left side of the equation into a perfect square. Here's how:

1. First, move the constant term (-11) to the right side by adding 11 to both sides of the equation.
2. Then, rewrite the middle term (7x) as the product of its coefficient (7) and half of it, squared (7/2)². This will allow us to create a perfect square trinomial.
3. Next, add the result from step 2 to both sides of the equation.
4. Finally, factorize the perfect square trinomial and solve for x.

The resulting equation will be in the form (x + p)² = q, where p and q are constants. By taking the square root of both sides, we can find the values for x.