Question

3. The roots of the equation x2 +2px - q = 0, where p and q are given data, can be found using the quadratic formula, so x = -p+ Vp+q. Study the conditioning of this formula with respect to changes in p and q separately.

Answer 1

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Ansucer : Given equation x? + px - 9 0 -Þ + Jp+9 Case I: cuhen b²+2 > 0 when peq are real numbers, then the roots of ean are real and unequal given by d = -p+Jpta -p-upta 8 Case II : when p²+q=0 af earo 9 klhen are pq are real numbers , then rools realt equal. given by L = a p B. - Þ positive soou ij pso negative roots ý po Ca T kihen be a are ear are unequal e not real. In that case p²+q ko nal numbers then the roots -are roots imaginary, 22 – p + (+²+q) i ß- - p - (p²+q) i (PST CS Scanned with CamScanner