Math, asked by manyasharma2, 1 year ago

n^2+201n-5400 = 0
plz solve.​

Answers

Answered by kushaansinghthegreat
4

Answer:

Step-by-step explanation:n²+201n-5400=0

or,n²+225n-24n-5400=0

or,n(n+225)-24(n+225)=0

or,(n+225)(n-24)=0

either n+225=0 or n-24=0

either n=-225 or n=24

Ans:The roots of the equation are -225 and 24 which are the values of n.


manyasharma2: brilliant
Answered by dna63
0

\mathbb{\large{\pink{Question:-}}}

\mathtt{\underline{\ n^{2}+201n-5400=0}}

\textit{\large{\red{\underline{\underline{Step by step Explanation:-}}}}}

\textit{\underline{Given}}

\mathtt{\ a=1,,b=201,,c=-5400}

\textbf{\underline{By Quadratic formula,,}}

\mathtt{\ D=b^{2}-4ac}

\mathtt\implies{\ D=201^{2}-4 \times 1\times (-5400)}

\mathtt\implies{\ D=40401+21600}

\mathtt\implies{\ D=62001}

\mathtt\implies{D>0}

\textbf{\underline{Hence,,}}

\mathtt{n=\frac{-b\pm \sqrt{D}}{2a}}

\mathtt\implies{n=\frac{-201\pm \sqrt{62001}}{2\times 1}}

\mathtt\implies{n=\frac{-201\pm 249}{2}}

\mathtt{n=\frac{-201+249}{2}}

\mathtt\implies{n=\frac{48}{2}}

\mathtt\implies{n=24}

\textbf{\underline{And,,}}

\mathtt{n=\frac{-201-249}{2}}

\mathtt\implies{n=\frac{-500}{2}}

\mathtt\implies{n=-225}

\textbf{\underline{Hence,,}}

\mathtt\implies{n= 24,,and,,-225}

\textbf{\large{\blue{Hope it helps you..}}}

\textbf{\large{\red{Please mark it as Brainliest answer.. thanks}}}

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