Question

X^2 - 5x + 6 = 0

Step 1:
a = x
b=5
C=6

Plug into quadratic formula:

Step 2: Show work and solve

Step 3: Solution
X = 3
X = 2

Answer 1

Step 1: Given equation: x^2 - 5x + 6 = 0

Step 2: Applying the quadratic formula:

The quadratic formula is given by: x = (-b ± √(b^2 - 4ac)) / (2a)

Here, a = 1, b = -5, and c = 6.

Plugging in these values into the quadratic formula:

x = (-(-5) ± √((-5)^2 - 4 * 1 * 6)) / (2 * 1)

Simplifying further:

x = (5 ± √(25 - 24)) / 2

x = (5 ± √1) / 2

x = (5 ± 1) / 2

So, we have two solutions:

x = (5 + 1) / 2 = 6 / 2 = 3

x = (5 - 1) / 2 = 4 / 2 = 2

Step 3: Solution

The solutions to the equation x^2 - 5x + 6 = 0 are x = 3 and x = 2.

Explanation:

Step 1: Given equation: x^2 - 5x + 6 = 0

Step 2: Applying the quadratic formula:

The quadratic formula is given by: x = (-b ± √(b^2 - 4ac)) / (2a)

Here, a = 1, b = -5, and c = 6.

Plugging in these values into the quadratic formula:

x = (-(-5) ± √((-5)^2 - 4 * 1 * 6)) / (2 * 1)

Simplifying further:

x = (5 ± √(25 - 24)) / 2

x = (5 ± √1) / 2

x = (5 ± 1) / 2

So, we have two solutions:

x = (5 + 1) / 2 = 6 / 2 = 3

x = (5 - 1) / 2 = 4 / 2 = 2

Step 3: Solution

The solutions to the equation x^2 - 5x + 6 = 0 are x = 3 and x = 2.