Problem

Find the roots of the quadratic equation \(2x^2 - 5x + 2 = 0\)

Solution

Step 1 :The quadratic formula is defined as \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Step 2 :Substitute \(a = 2\), \(b = -5\), and \(c = 2\) into the formula

Step 3 :Calculate \(x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*2*2}}{2*2}\)

Step 4 :Simplify to obtain \(x = \frac{5 \pm \sqrt{25 - 16}}{4}\)

Step 5 :Further simplify to obtain \(x = \frac{5 \pm \sqrt{9}}{4}\)

Step 6 :Finally, you get \(x = \frac{5 \pm 3}{4}\)

From Solvely APP
Source: https://solvelyapp.com/problems/1RBYZEGhLz/

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