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| 1. |
Determine the set of values of k for which given quadratic equation has real roots. 2x^2 + 3x + k =0 |
| Answer» we have, 2x2 + 3x + k = 0.a = 2, b = 3 and, c= kThe given equation will have real and equal roots, ifD = 0{tex}\\therefore{/tex}\xa0D = b2 - 4ac =0{tex}\\Rightarrow{/tex} 9 - 4 {tex}\\times{/tex}\xa02 {tex}\\times{/tex}\xa0k =0{tex}\\Rightarrow{/tex}9 - 8k = 0{tex} \\Rightarrow k= \\frac { 9 } { 8 }{/tex} | |