Question

Which value of x is a solution to this equation?

2x^2 − 4x +16 = 0



x = 3

x=2

x = -2

Answer 1

x = -2

Explanation:

:::::;;;;;::::::

Answer 2

Solve the equation:

• 2x² − 4x + 16 = 0
• x² - 2x + 8 = 0
• x² - 2x + 1 + 7 = 0
• (x - 1)² + 7 = 0
• (x - 1)² = -7

There is no solution as the square of the number can't be negative

----------------------------

Note if the equation was 2x² - 4x - 16 = 0, the solution would be:

• 2x² - 4x - 16 = 0
• x² - 2x - 8 = 0
• x² - 2x + 1 = 9
• (x - 1)² = 3²
• x - 1 = ± 3
• x = -2, x = 4

In this case x = -2 is the correct choice