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#### CaptainBlack

##### Well-known member

- Jan 26, 2012

- 890

1.Find the range of values of \(a\) for which \[(2-3a)x^2+(4-a)x+2=0\]has real roots.

2. If the roots of the equation \(4x^3+7x^2-5x-1=0\) are \(\alpha\) , \(\beta\) and \( \gamma\),find the equation whose roots are:

(a) \( \alpha+1,\beta+1\) and \(\gamma+1\)

(b) \(\alpha^2 \beta^2\) and \( \gamma^2 \)

CB