Question

Which are the solutions of x² = 19x + 12​

Answer 1

`\{x=(19-√(409) )/(2)\ , \ x=(19+√(409) )/(2)\}`

Explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

`x=(19-√(409) )/(2) \ \ or\ \ x=(19+√(409) )/(2)`