Find the nature of the roots of the quadratic equation 2x2-3x=0
Question
Find the nature of the roots of the quadratic equation 2x2-3x=0
Solution
To find the nature of the roots of the quadratic equation 2x^2 - 3x = 0, we can use the discriminant. The discriminant is given by the formula b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.
In this case, a = 2, b = -3, and c = 0. Substituting these values into the discriminant formula, we get (-3)^2 - 4(2)(0) = 9 - 0 = 9.
Since the discriminant is positive (9 > 0), the quadratic equation has two distinct real roots.
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