Question

To factorise m^2-4m+33​

Answer 1

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$\red{\bold{\underline{\underline{❥Question᎓}}}}$To factorise m^2-4m+33

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${m}^{2} - 4 m + 33$

Here we use quadratic formula to find out the roots:-

$\bold{Here\: ,a=1\: ,b=-4 & c=33}$

$⟹m = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a}$

$⟹ m= \frac{ - ( - 4)±\sqrt{ {( - 4)}^{2} - 4(1)(33)} }{2(1)}$

$⟹m= \frac{4± \sqrt{16 - 132} }{2}$

$⟹m = \frac{4± \sqrt{ - 116} }{2} = \frac{4±2 \sqrt{ - 29} }{2}$

$⟹m = \frac{2(2± \sqrt{ - 29} )}{2} = 2± \sqrt{29i}$

$\bold{Here\: is\: your\: answer}$

i(we say iota is placed of -ve sign whenever inside the root value so we simply replace negative sign by placing iota instead of negative sign inside roots)

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