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| 1. |
Find the value of people for which the quadratic equation 4x +px+3 has equal roots |
| Answer» {tex}4x^2\\;+\\;px\\;+\\;3\\;=\\;0{/tex}{tex}a = 4 , b = p{/tex} and {tex}c = 3{/tex}As the equation has equal roots{tex}\\therefore {/tex}\xa0{tex}D = 0{/tex}{tex}D = b ^ { 2 } - 4 a c = 0{/tex}or,\xa0{tex}p ^ { 2 } - 4 \\times 4 \\times 3 = 0{/tex}or,\xa0{tex}p ^ { 2 } - 48 = 0{/tex}or,\xa0{tex}p ^ { 2 } = 48{/tex}or,\xa0{tex}p = \\pm 4 \\sqrt { 3 }{/tex} | |