# How do you solve 2x^2 - 4x + 7 = 0?

Sep 13, 2015

#### Answer:

This equation has no real solutions.

#### Explanation:

$2 {x}^{2} - 4 x + 7 = 0$

$\Delta = {\left(- 4\right)}^{2} - 4 \cdot 2 \cdot 7 = 16 - 56 = - 40$

The determinant is negative, so the equation has no real solutions.

Answer: This equation has no real solutions.