Question

s, if b' - 4ac = 0,
(iii) no real roots, if 62
4ac < 0.
Let us consider some examples.
Example 16 : Find the discriminant of the quadratic equation 2x2 - 4x + 3 = 0, and
hence find the nature of its roots.
Solution: The given equation is of the form ax2 + bx + c = 0, where a = 2,b=-4 and
c = 3. Therefore, the discriminant
62 - 4ac = (-4)2-(4 x 2 x 3) = 16 - 24 = -8 <0
So, the given equation has no real roots.
Example 17 : A pole has to be erected at a point on the boundary of a circular park
of diameter 13 metres in such a way that the differences of its distances from two
diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it possible to
do so? If yes, at what distances from the two gates should the pole be erected?
Solution : Let us first draw the diagram
(see Fig. 4.4).
B В
Let P be the required location of the
13
pole. Let the distance of the pole from the​

Answer 1

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Answer 2

Answer:

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