Thanks bro and Sister
To factorise m^2-4m+33
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Answers
Explanation:
factorise m^2-4m+33
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「Answer」
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{m}^{2} - 4 m + 33m
2
−4m+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=
2a
−b±
b
2
−4ac
⟹ m= \frac{ - ( - 4)±\sqrt{ {( - 4)}^{2} - 4(1)(33)} }{2(1)}⟹m=
2(1)
−(−4)±
(−4)
2
−4(1)(33)
⟹m= \frac{4± \sqrt{16 - 132} }{2}⟹m=
2
4±
16−132
⟹m = \frac{4± \sqrt{ - 116} }{2} = \frac{4±2 \sqrt{ - 29} }{2}⟹m=
2
4±
−116
=
2
4±2
−29
⟹m = \frac{2(2± \sqrt{ - 29} )}{2} = 2± \sqrt{29i}⟹m=
2
2(2±
−29
)
=2±
29i
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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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