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Maharashtra Class 10 Answered

Alpha-bita=3,alpha^3+beta^3=189,fin f quadratic equation
Asked by kalyanichoudhari42.10ptl | 28 May, 2020, 01:32: PM
answered-by-expert Expert Answer
The question should be: If alpha+beta = 3 and alpha3+beta3 = 189 then find the quadratic equation having alpha and beta as its roots.
Solution:
G i v e n colon space alpha cubed plus beta cubed equals 189 rightwards double arrow space open parentheses alpha plus beta close parentheses open parentheses alpha squared minus alpha beta plus beta squared close parentheses equals 189 rightwards double arrow space 3 open parentheses alpha squared plus 2 alpha beta plus beta squared minus alpha beta close parentheses equals 189 rightwards double arrow space 3 open square brackets open parentheses alpha plus beta close parentheses squared minus alpha beta close square brackets equals 189 rightwards double arrow space 3 open square brackets open parentheses alpha plus beta close parentheses squared close square brackets minus 3 alpha beta equals 189 rightwards double arrow space 3 open parentheses 3 squared close parentheses minus 3 alpha beta equals 189 rightwards double arrow space 27 minus 3 alpha beta equals 189 rightwards double arrow 3 alpha beta equals negative 162 rightwards double arrow alpha beta equals negative 54 T h e space r e q u i r e d space q u a d r a t i c space e q u a t i o n space i s space x squared minus open parentheses alpha plus beta close parentheses x plus alpha beta equals 0 rightwards double arrow x squared minus 3 x minus 54 equals 0
Answered by Renu Varma | 29 May, 2020, 06:52: PM

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