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atroni [7]
3 years ago
11

Which equation has only two solution x=3 and x=-3

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

Answer:

The equation which has ONLY two solution x = 3 and x = -3 is P(x)  = x^2 - 9

Step-by-step explanation:

Here, the ONLY two rrots of the equation is given as:

x =  3 and x = -3

Now, if x = a is the ZERO of the polynomial, then x  - a  = 0 is the ROOT of the polynomial.

So, here the only roots of the polynomial are : (x-3) and (x+3)

Also, the POLYNOMIAL = PRODUCT OF ALL ROOTS

So, P(x) = (x-3)(x+3)    = x(x+3) -3(x+3)  = x^2 + 3x - 3x - 9  = x^2 - 9\\\implies P(x)  = x^2 - 9

Hence, the equation which has ONLY two solution x = 3 and x = -3 is P(x)  = x^2 - 9

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