i) Find the Sum and Product of Roots

Use the formula: Sum of roots = and Product of roots = , where a, b and c are the coefficients of the quadratic equation ax^{2}+bx+c=0.

ii) Show that 4p^{2}=25q

Make the subject of the formula (1).

Substitute (1) into (2) and simplify the equation

When you first start learning Sum and Products of roots, the roots are almost always and . But as you progress toward intermediate level, the roots could be like those in the example above or those below.

If one root is twice the other,

If two roots differs by two,

If one root is the reciprocal of the other,

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