Question

Solve using the quadratic formula: x^2 - 9x + 3 = 0. What are the solutions?

a) x = 3, x = 6
b) x = 3, x = -6
c) x = 9, x = -3
d) x = 9, x = 6

Answer 1

The solutions to the equation x² - 9x + 3 = 0 are (9 + √69) / 2 and (9 - √69) / 2.

Step-by-step explanation:

To solve the quadratic equation x² - 9x + 3 = 0 using the quadratic formula, we first identify the values of a, b, and c. In this equation, a = 1, b = -9, and c = 3. Substituting these values into the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we have:

x = (9 ± √(81 - 12)) / 2

Simplifying further, we have:

x = (9 ± √69) / 2

Therefore, the solutions to the equation are x = (9 + √69) / 2 and x = (9 - √69) / 2.