Question

Solve for x in the equation x2 - 12x+36 = 90.

O X=6+3710
O x=6+2√7
O x= 12:322
O x= 12+3/10

Answer 1

The correct answer is A. x = 6 + 3 √10

Explanation:

Let's solve for x:

x² - 12x + 36 = 90

Factoring this quadratic equation, we have:

(x - 6) (x - 6) = 90

(x - 6)² = 90

x - 6 = √90 (Square root to both sides of the equation)

x = 6 + √90 (Adding 6 to both sides of the equation)

x = 6 + √9 * 10

x = 6 + √3² * 10

x = 6 + 3 √10

The correct answer is A. x = 6 + 3 √10