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Marrrta [24]
3 years ago
9

Given that the roots of the equation a

align="absmiddle" class="latex-formula">+bx+c=0 are \beta and n\beta, show that (n+1)²ac=nb²
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

Step-by-step explanation:

sum of roots β+nβ=-b/a

(n+1)β=-b/a

squaring

(n+1)²β²=b²/a²

product of roots β×nβ=c/a

nβ²=c/a

β²=c/na

∴(n+1)²c/na=b²/a²

multiply by na²

(n+1)²ac=nb²

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Step-by-step explanation:

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