Question

class 11 maths picture is attached below please help if you give absurd answers only to gain points, your answer will be reported and your ac will be blocked

Answer 1

$\sf\underbrace{\red{To\:Find:-}}$

• $\rm{\alpha}$ = ?

$\sf\underbrace{\red{SOLUTION:-}}$

GIVEN :-

• x² + 6x + $\rm{\lambda}$ = 0 ----(1)

• $\rm{3\alpha\:+\:2\beta\:=\:{-20}\:}$ ----(2)

☞ So, from Equation (1),

• $\rm{\alpha\:+\:\beta\:=\:{-6}\:}$ ----(3)

• $\rm{\alpha\:\beta\:=\:\lambda\:}$

☞ Now, Equations is arise .

Equation(3) × 2,

1. $\rm{2\alpha\:+\:2\beta\:=\:{-12}\:}$ ----(a)

And Equation(3) as it is,

1. $\rm{3\alpha\:+\:2\beta\:=\:{-20}\:}$ ----(b)

☞ Now, solve Equation(a) and Equation(b), we get

• $\rm{\implies\:\alpha\:=\:{-8}\:}$

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$\bigstar\:\underline{\boxed{\bf{\red{\alpha\:=\:{-8}\:}}}}$