Question

Use the ALEKS graphing calculator to find all the real zeros of the quadratic function.

f(x) = -4x² - 6x +1
Round to the nearest hundredth.
If there is more than one answer, separate them with commas.
If there are no real zeros, click on "None".

Real zero(s):

Answer 1

Real roots?

First, we find the discriminant of this quadratic equation : b^2 - 4ac.

In this case, the discriminant is -6^2 - 4 x (-4) x 1 = 36 + 16 = 52.

-> 2 possible roots can be found :
`(6+√(52) )/(2)` = 6.61 (nearest hundredth) or
`(6 - √(52) )/(2)` = -0.61

Answer 2

Explanation:

none