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| 1. |
Find A qaudratic eqauation whose one root is 3 |
| Answer» since 3 is the root of the equation, x = 3 must satisfy the equation.Applying x = 3\xa0in the equation {tex}{x^2} - 5x + 6 = 0{/tex}gives, {tex}{\\left( 3 \\right)^2} - 5 ( 3) + 6 = 0{/tex}{tex} \\Rightarrow {/tex}{tex}9 - 15 + 6 = 0{/tex}{tex} \\Rightarrow {/tex}{tex}15 - 15 = 0{/tex}{tex} \\Rightarrow {/tex}{tex}0 = 0{/tex}{tex} \\Rightarrow {/tex}L.H.S. = R.H.S.Hence, {tex}{x^2} - 5x + 6 = 0{/tex} is a required equation which has 3 as root. | |