Case Study Question 07

Mathematics

Chapter 4: Quadratic Equations

Class 10

The angry Arjun carried some arrows for fighting with Bheeshm. With the half of the arrows, he cut down the arrows thrown by Bheeshm on him and with six other arrows, he killed the charioteer of Bheeshm. With one arrow each, he knocked down respectively the chariot, flag and the bow of Bheeshm. Finally, with one more than four times the square root of arrows, he laid Bheeshm unconscious on an arrow bed. 

Question.1.
If Arjun had `x` arrows then by how many arrows he cut down arrows thrown by Bheeshm?

  • `\frac{x}{2}` Arrows

Question.2.
If Arjun had `x` arrows then by how many arrows he laid Bheeshm unconscious on arrow bed?

  • `4\sqrt{x}+1` Arrows

Question.3.
Frame and solve the quadratic equation.

`\frac{x}{2}+6+3+4\sqrt{x}+1=x`
`x+20+8\sqrt{x}=2x`
`x-8\sqrt{x}-20=0`
Let `x=y^{2}`
`y^{2}-8y-20=0`
`y=10`, `y=-2`

Question.4.
The total number of arrows Arjun had?

  • `x=100`

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