Question

Solve the equation 2x² - 6x + 4=0 using the quadratic formula and choose the correct solution.

a) x = 1/2
b) x = 2
c) x = -1
d) x = -2

Answer 1

The correct solution to the equation 2x² - 6x + 4 = 0 using the quadratic formula is x = 2, which corresponds to option b).

Step-by-step explanation:

To solve the quadratic equation 2x² - 6x + 4 = 0 using the quadratic formula, we first identify the coefficients: a = 2, b = -6, and c = 4. The quadratic formula is given by:

-b ± √(b² - 4ac) / (2a)

Substituting the values we get:

x = (-(-6) ± √((-6)² - 4(2)(4))) / (2(2))

x = (6 ± √(36 - 32)) / 4

x = (6 ± √4) / 4

x = (6 ± 2) / 4

This gives us two possible solutions:

x = (6 + 2) / 4 = 8 / 4 = 2

or

x = (6 - 2) / 4 = 4 / 4 = 1

Therefore, the correct solution from the given options is x = 2 which corresponds to option b).