The solution to the quadratic equation 2x^2 - 5x + 3 = 0 is found by using the quadratic formula. The two solutions for x are 1.5 and 1 after computing the necessary calculations.
Step-by-step explanation:
To solve for x in the quadratic equation 2x^2 - 5x + 3 = 0, we can use the quadratic formula, which is represented as:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation 2x^2 - 5x + 3 = 0, a = 2, b = -5, and c = 3.
Plugging these values into the quadratic formula gives us:
x = (5 ± √((-5)^2 - 4(2)(3))) / (2(2))
x = (5 ± √(25 - 24)) / 4
x = (5 ± √(1)) / 4
Now, there are two possible solutions for x:
x = (5 + 1) / 4 and x = (5 - 1) / 4
x = 6 / 4 or x = 4 / 4
x = 1.5 or x = 1
Therefore, the two solutions for x are 1.5 and 1.
The probable question can be: Please help me on this question-
Solve for \(x\) in the equation:
\[2x^2 - 5x + 3 = 0.\]