A farmer in Haryana plants saplings in two plots. The numbers of saplings are the roots of $x^{2} - 50 x + 600 = 0$ .
How many more saplings are in the larger plot than the smaller plot?

Question

A farmer in Haryana plants saplings in two plots. The numbers of saplings are the roots of x^2 - 50x + 600 = 0. How many more saplings are in the larger plot than the smaller plot?

Accepted Answer

10. Roots solve (x-20)(x-30)=0, so 20 and 30. Difference = 10. (Or √50^2 - 4(600) = √100 = 10.)

A farmer in Haryana plants saplings in two plots. The numbers of saplings are the roots of $x^{2} - 50 x + 600 = 0$ .
How many more saplings are in the larger plot than the smaller plot?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Sum and Product of Roots practice

A farmer in Haryana plants saplings in two plots. The numbers of saplings are the roots of x2−50x+600=0.How many more saplings are in the larger plot than the smaller plot?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Sum and Product of Roots practice

A farmer in Haryana plants saplings in two plots. The numbers of saplings are the roots of $x^{2} - 50 x + 600 = 0$ .
How many more saplings are in the larger plot than the smaller plot?