Question

solve the quadratic equation by using quadratic formula x2+11x-80=0​

Answer 1

$\huge\color{red}{\bf{Question:}}$

$\bf Solve \: the \: quadratic \: equation \\ \bf using \: quadratic \: formula \\ \bf {x}^{2} + 11x - 80 = 0$

$\huge\color{red}{\bf{Answer:}}$

$\bf Quadratic \: formula : \\ \\ \bf \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ \bf Here \: a = 1, \: \: \: \: b = 11, \: \: \: \: c = - 80 \\ \\ \bf {b}^{2} - 4ac = ({11})^{2} - 4(1)( - 80) \\ \bf = 121 + 320 \\ \bf = 441 \\ \bf \therefore \sqrt{ {b}^{2} - 4ac } = \sqrt{441} = 21 \\ \\ \bf \therefore \frac{- (11) ± 21}{2(1)} \\ \\ \bf = \frac{ - 11 + 21}{2} \: \: \: \: \frac{ - 11 - 21}{2} \\ \\ \bf = \frac{ - 10}{2} \: \: \: \: \: \frac{ - 32}{2} \\ \\ \bf = - 5 \: \: \: \: \: - 16 \\ \therefore \bf The \: roots \: are : \\ \bf - 5 \: \: \: and \: \: - 16$

$\huge\color{red}{\bf{Hope~it~helps..!!}}$