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

The equation has only two solution x = 3 and x = -3 is .

We have to determine, the equation which has only two solutions x  = 3 and x = -3.

According to the question,

The two roots of the equation is x = 3 and x = -3,

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).

If the and are the roots of the equation the product of roots can be written as,

Substitute the values in the equation,

Hence, The required equation has only two solution x = 3 and x = -3 is .

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The equation which has ONLY two solution x = 3 and x = -3 is

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,

Hence, the equation which has ONLY two solution x = 3 and x = -3 is