Math, asked by maheshwariansh1669, 3 months ago

middle terms splitting x^2-3x+1​

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Answered by ItzNila
5

Step-by-step explanation:

\bf{Here  \: we  \: go!!}

• Steps for doing this sum,

=>Pulling out like terms.

=>Trying to factor by splitting the middle term.

\huge\tt\fbox\purple{Answer}

=> x2 - 3x + 1 = 1 (x2 - 3x + 1)

=>The first term is, x2 its coefficient is 1 .

=>The middle term is, -3x its coefficient is -3 .

=>The last term, "the constant", is +1.

=>Multiply the coefficient of the first term by the constant   1 • 1 = 1 

=>Find two factors of 1 whose sum equals the coefficient of the middle term, which is -3 .

That's it we have arrived with our answer,

\bf{x =  \dfrac{ - 3 -  \sqrt{5} }{ - 2}  =  > 2.618}

\bf{x =  \dfrac{ - 3 +  \sqrt{5} }{ - 2}  =  > 0.382}

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