Question

factorise 4x² - 17x-21.​

Answer 1

Answer:

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Answer 2

ANSWER

$4 {x }^{2} - 17x - 21 \\ here \\ a = 4 \\ b = - 17 \\ c = - 21 \\ - {b}^ \frac{ + }{ -} \sqrt{ {b}^{2} - 4ac} \: \: \: \: \:( {i} )\\ put \: value \: of \: a = 4. \\ \: \: \: \: \: \: b = - 17. \\ \: \: \: \: \: \: c = - 21 \\ ( - {17} ) \frac{ + }{ - } \sqrt( - {17}^{2} ) - 4(4)( - 21) \\ -( - 17) \frac{ + }{ - } \sqrt{289 + 336 } \\ ( - 17) \frac{ + }{ - } \sqrt{625 } \\ ( - 17) \frac{ + }{ - } \sqrt{ {25}^{2} } \\ cut \: square \: and \: square \: root \\ ( - 17) \frac{ + }{ - } 25 \\ x = - 17 + 25 \\ x = 8 \\ and \: second \: value \: of \: x \\ x = - 17 - 25 \\ x = - 42 \\ \\ solution \: set = (8 \: . - 42)$

SOLUTION SET={8,-42}

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