Find whether the following equations have real roots. If real roots exist, find them.

-2x2 + 3x + 2 = 0


To check whether the quadratic equation has real roots or not, we need to check the discriminant value i.e.,


D = b2 - 4ac


Given, -2x2 + 3x + 2 = 0


D = 32 - 4(-2) (2)


D = 9 + 16 > 0


Hence, the roots are real and distinct.


To find the roots, use the formula,





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