Question

Write x² + 4x - 5 = 0 in the form of (x - a)² = b, where a and b are integers.

O(x+4)² = 9
(x+4)² = 5
(x + 2)² = 9
(x + 2)² = 3

Answer 1

To write x² + 4x - 5 = 0 in the form of (x - a)² = b, we can complete the square by adding and subtracting the square of half the coefficient of x. The resulting equation is (x + 2)² = 10.

Step-by-step explanation:

To write x² + 4x - 5 = 0 in the form of (x - a)² = b, we will need to complete the square. Starting with the given equation:

x² + 4x - 5 = 0

We can add and subtract the square of half the coefficient of x to both sides of the equation:

x² + 4x + (4/2)² - (4/2)² - 5 = (4/2)²

Simplifying this equation gives:

(x + 2)² - 1 - 5 = 4

Combining like terms:

(x + 2)² - 6 = 4

Adding 6 to both sides:

(x + 2)² = 10

So, the equation x² + 4x - 5 = 0 can be written in the form of (x + 2)² = 10.

Learn more about Completing the square in quadratic equations