Question

what is the value of x if [x]>3​

Answer 1

Answer:

Step-by-step explanation:You can answer this using algebra, or using calculus.

Algebraic: Complete the square.

x^2 - x + 3 = (x - 1/2)^2 - 1/4 + 3 = (x - 1/2)^2 + 11/4

So the minimum value of x^2 - x + 3 occurs when x=1/2, and that minimum is 11/4.

Calculus:

Take the derivative, and set it equal to zero.

2x - 1 = 0

x = 1/2

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