Question

Solve this quadratic equation.


`2x {}^(2) - 5x + 2 = 0`
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Answer 1

x = 1/2 or 2

Explanation:

You can factor this as ...

2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring

2x(x -2) -1(x -2) = 0 . . . . factor by grouping

(2x -1)(x -2) = 0 . . . . factor out (x -2)

x = 1/2, 2 . . . . . . values of x that make the factors zero