1.

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

Answer»

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



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