Question

determine the nature of the roots for the quadratic equation 3^x²+^2x-2^3=0​

Answer 1

To find the nature of the roots,

we must use the following formula:-

$b {}^{2} - 4ac$

If,

$b {}^{2} - 4ac < 0 - - - imaginary \: \\b {}^{2} - 4ac = 0 - - -equal \: and \: real \: \\ b { }^{2} - 4ac - - not \: equal \: and \: real$

So,

$2 {}^{2} - 4(3)( - 8 ) = 4 + 96 = 100$

Hence,

the nature of roots are real but not equal to each other