Math, asked by seemasanjaysingh219, 9 months ago

24x^2+11x+15 factorise​

Answers

Answered by rocky200216
2

\bf{\gray{\underline{\underline{\blue{Given}}}}}, \\

■ Quadratic Polynomial,

  • 24x² + 11x + 15

\bf{\gray{\underline{\underline{\blue{To\:Find}}}}}, \\

  • Factors of given quadratic polynomial.

\bf{\gray{\underline{\underline{\blue{Calculation}}}}}, \\

━≫ \rm{24x^2\:+\:11x\:+\:15} \\

■ General formula for solving quadratic polynomial is,

\bf{\orange{\bigstar}}\:\Bigg\{{\red{x\:=\:\frac{-b\:\pm\:\sqrt{b^2\:-\:4ac}}{2a}}}\:\Bigg\}\:{\green{\bigstar}} \\

Here,

  • a = 24

  • b = 11

  • c = 15

\longrightarrow\:\rm{x\:=\:\frac{-(11)\:\pm\:\sqrt{(11)^2\:-\:(4\times{24}\times{15})}}{2\times{24}}} \\

━≫ \:\rm{x\:=\:\frac{-11\:\pm\:\sqrt{121\:-\:1440}}{48}} \\

━≫ \:\rm{x\:=\:\frac{-11\:\pm\:\sqrt{-1319}}{48}} \\

\longrightarrow\:\tt{\bf{\orange{x\:=\:\frac{-11\:+\:\sqrt{-1319}}{48}}}}\:\:\:\:Or\:\:\:\:{\bf{\green{x\:=\:\frac{-11\:-\:\sqrt{-1319}}{48}}}} \\

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