Three friends Asha, Bina and Chetan each pick a number. Asha says 'my number is a zero of x^2 - 4'. Bina says 'mine too, but it is different from Asha's'. Chetan picks a zero of x - 2. How many of the three picked the SAME numerical value as Chetan?

Question

Accepted Answer

1. Zeroes of x^2 - 4 are 2 and -2; Asha and Bina pick these two (one is 2, the other -2). Chetan's zero of x - 2 is 2. Exactly one of Asha/Bina has 2, matching Chetan. So 1 person matches Chetan.

Three friends Asha, Bina and Chetan each pick a number. Asha says 'my number is a zero of $x^{2} - 4$ '. Bina says 'mine too, but it is different from Asha's'. Chetan picks a zero of $x - 2$ .
How many of the three picked the SAME numerical value as Chetan?

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More Class 9 Zeroes of a Polynomial practice

Three friends Asha, Bina and Chetan each pick a number. Asha says 'my number is a zero of x2−4'. Bina says 'mine too, but it is different from Asha's'. Chetan picks a zero of x−2.How many of the three picked the SAME numerical value as Chetan?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Zeroes of a Polynomial practice

Three friends Asha, Bina and Chetan each pick a number. Asha says 'my number is a zero of $x^{2} - 4$ '. Bina says 'mine too, but it is different from Asha's'. Chetan picks a zero of $x - 2$ .
How many of the three picked the SAME numerical value as Chetan?