A rectangular hall in Bhopal has perimeter 26 m and area 42 sq m. The sides satisfy x^2 - 13x + 42 = 0 (where x is one side). Use the discriminant to confirm such a hall exists and state the nature of the roots.

Question

Accepted Answer

D = 1 > 0; real distinct (sides 6 m and 7 m). D = 169 - 168 = 1 > 0, so real distinct roots: x = 13 ± 1/2 = 7 or 6. Sides 6 m and 7 m; the hall exists.

A rectangular hall in Bhopal has perimeter 26 m and area 42 sq m.
The sides satisfy $x^{2} - 13 x + 42 = 0$ (where $x$ is one side).
Use the discriminant to confirm such a hall exists and state the nature of the roots.

Step-by-Step Solution

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More Class 10 Nature of Roots (Discriminant) practice

A rectangular hall in Bhopal has perimeter 26 m and area 42 sq m.The sides satisfy x2−13x+42=0 (where x is one side).Use the discriminant to confirm such a hall exists and state the nature of the roots.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Nature of Roots (Discriminant) practice

A rectangular hall in Bhopal has perimeter 26 m and area 42 sq m.
The sides satisfy $x^{2} - 13 x + 42 = 0$ (where $x$ is one side).
Use the discriminant to confirm such a hall exists and state the nature of the roots.