A rectangular plot in Pune has perimeter 26 m and area 40 sq m. Writing one side as x, the equation becomes x^2 - 13x + 40 = 0. Using the discriminant, are the dimensions real?

Question

Accepted Answer

Yes, two distinct real sides (D = 9). a = 1, b = -13, c = 40. D = 169 - 160 = 9 > 0, so the sides are real and distinct (5 m and 8 m).

A rectangular plot in Pune has perimeter 26 m and area 40 sq m. Writing one side as $x$ , the equation becomes $x^{2} - 13 x + 40 = 0$ .
Using the discriminant, are the dimensions real?

Step-by-Step Solution

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More Class 10 Discriminant and Nature of Roots practice

A rectangular plot in Pune has perimeter 26 m and area 40 sq m. Writing one side as x, the equation becomes x2−13x+40=0.Using the discriminant, are the dimensions real?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Discriminant and Nature of Roots practice

A rectangular plot in Pune has perimeter 26 m and area 40 sq m. Writing one side as $x$ , the equation becomes $x^{2} - 13 x + 40 = 0$ .
Using the discriminant, are the dimensions real?