A signboard is a right triangle (figure) with legs that satisfy x^2 - 14x + 48 = 0 (the legs are the two roots). What is the discriminant, and are both legs real?

Question

Accepted Answer

4; yes, both legs are real and distinct. a = 1, b = -14, c = 48. D = 196 - 192 = 4 > 0, so the legs (6 and 8) are real and distinct.

A signboard is a right triangle (figure) with legs that satisfy $x^{2} - 14 x + 48 = 0$ (the legs are the two roots).
What is the discriminant, and are both legs real?

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More Class 10 Discriminant and Nature of Roots practice

A signboard is a right triangle (figure) with legs that satisfy x2−14x+48=0 (the legs are the two roots).What is the discriminant, and are both legs real?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Discriminant and Nature of Roots practice

A signboard is a right triangle (figure) with legs that satisfy $x^{2} - 14 x + 48 = 0$ (the legs are the two roots).
What is the discriminant, and are both legs real?