Mathematics Form 5 Art

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Mathematics Form 5 Art

Chapter 2 : Theory of Quadratic equations

Forming quadratic equations with new roots

If α and β are roots of the quadratic equation ax2+bx+c=0, then

Then knowing the values of α+β  and αβ we can form other quadratic equations using

That is


Note; to find the new roots it is considered that;

 

Example;

Given that α and β  are roots of the quadratic equation x2+4x-2=0. Find the equation whose roots are;

Solution;

Product of new roots (PN) =

par Claude Foumtum
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