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Let x^(2) - ( m - 3) x + m = 0 ( m in R)...

Let `x^(2) - ( m - 3) x + m = 0 ( m in` R) be a quadratic equation. Find the value of m for which the roots are
(i) real and distinct
(ii) equal
(iii) not real

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AI Generated Solution

To solve the quadratic equation \(x^2 - (m - 3)x + m = 0\) for different conditions of the roots, we need to analyze the discriminant of the equation. The discriminant \(D\) is given by the formula: \[ D = b^2 - 4ac \] where \(a\), \(b\), and \(c\) are the coefficients of the quadratic equation \(ax^2 + bx + c = 0\). ...
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CENGAGE ENGLISH-THEORY OF EQUATIONS-ILLUSTRATION
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