The correct answer is A. x = 6 + 3 β10
Step-by-step explanation:
Let's solve for x:
xΒ² - 12x + 36 = 90
Factoring this quadratic equation, we have:
(x - 6) (x - 6) = 90
(x - 6)Β² = 90
x - 6 = β90 (Square root to both sides of the equation)
x = 6 + β90 (Adding 6 to both sides of the equation)
x = 6 + β9 * 10
x = 6 + β3Β² * 10
x = 6 + 3 β10
The correct answer is A. x = 6 + 3 β10