Step-by-step explanation
We must solve the following quadratic equation by completing squares:
1) First, we rewrite the equation in the following way:
2) We sum to both sides of the equation (5/2)², get:
3) Expressing the first term as a square, we have:
4) Passing the +6 at the left as -6 at the right:
5) By taking the square root on both sides, we get two solutions:
Answer
1) Re-writing the equation:
2) Summing (5/2)² on both sides:
3) Expressing the first term as a square:
4) Simplifying:
5) Taking the square root: