Question

find the quadratic equation whose roots are 3 and -3

Answer 1

as we know that sum of roots =a+b
product of roots is ab
then we studied about
how to create quadratic eqn
(a+b)x^2-(ab)x+c =0
now take roots 3&-3 then eqn
3x^2+3x+1=0

Answer 2

The quadratic equation whose roots are 3 and -3 is: $x^2 - 9 = 0$

Solution:

Given that,

We have to find the quadratic equation whose roots are 3 and -3

The general form of quadratic equation is given as:

$x^2 - ( \text{ sum of roots } )x + \text{ product of roots } = 0$

Given roots are 3 and -3

Sum of roots = 3 - 3 = 0

Product of roots = 3 x - 3 = -9

Thus, the required quadratic equation is:

$x^2 - 0x - 9 = 0\\\\x^2 - 9 = 0$

Thus the quadratic equation is found

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