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| 1. |
8x—22x—21=0 |
| Answer» We have,{tex}8 x ^ { 2 } - 22 x - 21 = 0{/tex}{tex}\\Rightarrow{/tex}\xa08x2 - 28x + 6x - 21 = 0{tex}\\Rightarrow{/tex}\xa04x(2x - 7) + 3 (2x - 7) = 0{tex}\\Rightarrow{/tex}\xa0(2x - 7) (4x + 3) = 0 {tex}\\Rightarrow{/tex}\xa02x - 7 = 0 or,\xa04x + 3 = 0\xa0{tex}\\Rightarrow{/tex}\xa0{tex}x = \\frac { 7 } { 2 } \\text { or } x = - \\frac { 3 } { 4 }{/tex}Thus,\xa0{tex}x = \\frac { 7 } { 2 } \\text { and } x = - \\frac { 3 } { 4 }{/tex} are two roots of the equation 8x2 - 22x - 21 = 0 | |