Home » Past Questions » General Paper » Find the equation whose roots are \(2\) and \(-3\frac{1}{2}\)

Find the equation whose roots are \(2\) and \(-3\frac{1}{2}\)


Question

Find the equation whose roots are \(2\) and \(-3\frac{1}{2}\)

Options

A) 2x2 + 3x + 14 = 0

B) 2x2 + 5x + 7 = 0

C) 2x2 + 5x - 7 = 0

D) 2x2 + 3x - 14 = 0

The correct answer is C.

Explanation:

\(x^2 - (\text{sum of roots})x + \text{product of roots} = 0\)
\(x^2 - (2 + (-3\frac{1}{2}))x + (2)(-3\frac{1}{2}) = 0\)
\(x^2 - (2 + (-\frac{7}{2}))x + (2)(-\frac{7}{2}) = 0\)
\(x^2 - (2 - \frac{7}{2})x + (-7) = 0\)
\(2x^2 + 5x - 7 = 0\)

More Past Questions:


Discussion (2)