2x^2+5x-3=0 by completing the square
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x = - 3 or x = - 1 / 2 are the roots of the given quadratic equation.
Step-by-step-explanation:
The given quadratic equation is
2x² - 5x - 3 = 0
∴ 2x² - 5x - 3 = 0
➜ 2x² - 6x + x - 3 = 0
➜ 2x ( x - 3 ) + 1 ( x - 3 ) = 0
➜ ( x - 3 ) ( 2x + 1 ) = 0
➜ ( x - 3 ) = 0 or ( 2x + 1 ) = 0
➜ x - 3 = 0 or 2x + 1 = 0
➜ x = 3 or 2x = - 1
➜ x = - 3 or x = - 1 / 2
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