Find the smallest value of x such that x^2+6x + 9 = 24

Please help me! I am very confused. Thank you!

1 answer

surely you have learned how to solve a quadratic equation, or you'd not have been given this exercise.

x^2+6x + 9 = 24
x^2+6x-15 = 0

x = (-6±√96)/2 = -3±2√6

clearly, -3-2√6 is less than -3+2√6