Question

Prove that
$\alpha \beta = \frac{c}{a}$
and
$\alpha + \beta = \frac{ - b}{a}$
Prove it.





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Answer 1

$\small{\color{black}{\fbox{\textsf{\textbf{Answer}}}}}$

Let the age of father be x years

Let the age of one of his children be y years and age of other children be z years

From given information,

x=2×(y+z)...(1)

After 20 years,

(x+20)=(y+20)+(z+20)...(2)

Substituting value of (1) in (2), we get

2×(y+z) +20=y+z+40

2y+2z−y−z=40−20

y+z=20...(3)

Substituting value of (3) in (1), we get

x=2×(20)

⇒x=40

Answer 2

This is yours answer

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