Question

Solve the equation for x:

2x² - 5x + 3 = 0

a. x = 1, x = 3
b. x = 2, x = 5
c. x = 3, x = 4
d. x = -1, x = 3

Answer 1

Umm none of the answers seem to work

Step-by-step explanation:

Solve by factoring, use decomposition.

2x² - 5x + 3 = 0

2x² - 2x - 3x + 3 = 0 --> Decomposition

(2x² - 2x) + (-3x + 3) = 0 --> Grouping
2x(x - 2) - 3(x-2) = 0 --> Factor out terms

(2x - 3)(x-2) = 0 --> binomial factorization

Set factors to zero.

2x - 3 = 0

2x = 3

x = 3/2

x - 2 = 0

x = 2

This is what I got. Comment below if you got the same.

Answer 2

To solve the equation 2x² - 5x + 3 = 0, we can use the quadratic formula to find the values of x. The correct answer is a. x = 1, x = 3.

Step-by-step explanation:

To solve the equation 2x² - 5x + 3 = 0, we can use the quadratic formula, which states that x = (-b ± sqrt(b^2 - 4ac)) / (2a). In this case, a = 2, b = -5, and c = 3. Plugging these values into the formula, we get:

x = (-(-5) ± sqrt((-5)^2 - 4(2)(3))) / (2(2))

x = (5 ± sqrt(25 - 24)) / 4

x = (5 ± sqrt(1)) / 4

x = (5 ± 1) / 4

So the solutions for x are:

x = (5 + 1) / 4 = 6 / 4 = 3/2

x = (5 - 1) / 4 = 4 / 4 = 1

Therefore, the correct answer is a. x = 1, x = 3.