Question

What does x equal in this equation? 2x^{2} -7x+9=0

Answer 1

Step-by-step explanation: -b ± √(b² - 4ac)

Let's solve for x using the quadratic formula x = ------------------------

2a

In this case the coefficients are 2, -7 and 9, so the discriminant, b^2 - 4ac, is (-7)^2 - 4(2)(9), or 49 - 72 = -23.

The roots (zeros) of this quadratic are thus:

-(-7) ± i√23

x = ----------------------

4

or

7 ±i√23

x = -------------------

4