A train travels 360 km. If its speed had been 5 km/h more, it would have taken 1 hour less.
This leads to $x^{2} + 5 x - 1800 = 0 (x$ = original speed). Find $x$ by completing the square.

Question

A train travels 360 km. If its speed had been 5 km/h more, it would have taken 1 hour less. This leads to x^2 + 5x - 1800 = 0 (x = original speed). Find x by completing the square.

Accepted Answer

40. x^2 + 5x = 1800, add 25/4: (x + 5/2)^2 = 1800 + 6.25 = 7225/4, x + 5/2 = 85/2, x = 40 km/h.

A train travels 360 km. If its speed had been 5 km/h more, it would have taken 1 hour less.
This leads to $x^{2} + 5 x - 1800 = 0 (x$ = original speed). Find $x$ by completing the square.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Completing the Square practice

A train travels 360 km. If its speed had been 5 km/h more, it would have taken 1 hour less.This leads to x2+5x−1800=0(x = original speed). Find x by completing the square.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Completing the Square practice

A train travels 360 km. If its speed had been 5 km/h more, it would have taken 1 hour less.
This leads to $x^{2} + 5 x - 1800 = 0 (x$ = original speed). Find $x$ by completing the square.