8x—22x—21=0

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Sia ? 6 years, 6 months ago
We have,
{tex}8 x ^ { 2 } - 22 x - 21 = 0{/tex}
{tex}\Rightarrow{/tex} 8x2 - 28x + 6x - 21 = 0
{tex}\Rightarrow{/tex} 4x(2x - 7) + 3 (2x - 7) = 0
{tex}\Rightarrow{/tex} (2x - 7) (4x + 3) = 0 {tex}\Rightarrow{/tex} 2x - 7 = 0 or, 4x + 3 = 0 {tex}\Rightarrow{/tex} {tex}x = \frac { 7 } { 2 } \text { or } x = - \frac { 3 } { 4 }{/tex}
Thus, {tex}x = \frac { 7 } { 2 } \text { and } x = - \frac { 3 } { 4 }{/tex} are two roots of the equation 8x2 - 22x - 21 = 0
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