Find the zeros of each function?

Question

x^2 - 2x + 4

x^2 + 6x + 14

How can I solve this quickly, and what method...please explain with the answer. Thank You!

Answer 1

The functions are x² - 2x + 4 and x² + 6x +14.

The above two functions are quadratic functions.

The related quadratic equations are x² - 2x + 4 = 0 and x² + 6x +14 = 0.

To find the zeros of each function, by  using the Quadratic formula.

Compare the equation x² - 2x + 4 = 0 with general form of quadratic equation, ax² + bx + c = 0, a ≠ 0.

a = 1, b = - 2 and c = 4.

Quadratic formula : .

Compare the equation x² + 6x + 14 = 0 with general form of quadratic equation, ax² + bx + c = 0, a ≠ 0.

a = 1, b = 6 and c = 14.

Quadratic formula : .

.

The zeros of the function, x² - 2x + 4 are and the zeros of the function, x² + 6x + 14 are .