Question

Form a quadratic equation for the given situation:
Vijay inherited huge wealth from his father and by establishing a soft drinks company, he squared his wealth. He started a company which manufactures airplane toys and incurred huge losses amounting to k (>0) times the wealth he inherited initially. His total assets now stand at debt of 4 crore.

• A. $x^2-4x+4=0$
• B. $x^2-kx+4=0$
• C. $k{x}^2-kx-4=0$
• D. $x^2-kx-k=0$

Answer 1

The correct option is B

$x^2-kx+4=0$

Let the wealth inherited by Vijay be ‘x’ crores. His wealth became $x^2$ because of the soft drinks company. But the toys manufacturing company brought a loss of $kx$. Now the wealth of Vijay will be $x^2-kx$. This was mentioned to be equal to -4 crores
$\Rightarrow x^2-kx=-4$
$\Rightarrow x^2-kx+4=0$
Hence the quadratic equation formed is $x^2-kx+4=0$