Question

middle term breaking...correct answer will be marked as brainliest and his or her account will be followed ​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{\alpha\approx0.9}}}$

$\green{\tt{\therefore{\beta\approx-241.9}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies {x}^{2} + 241x - 222 = 0 \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Value \: of \: x = ?$

• According to given question :

$\tt{ Let \: \alpha \: and \: \beta \: be \: zeroes \: of \: eqn} \\ \tt: \implies {x}^{2} + 241x - 222 = 0 \\ \\ \tt \circ \: a = 1 \\ \\ \tt \circ \: b = 241 \\ \\ \tt \circ \: c = - 222 \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies D = {b}^{2} - 4ac \\ \\ \tt: \implies D= {241}^{2} - 4 \times 1 \times ( - 222) \\ \\ \tt: \implies D= 58081 +888 \\ \\ \tt: \implies D = 63409 \\ \\ \tt: \implies x = \frac{ - b \pm \sqrt{D} }{2a} \\ \\ \tt: \implies x = \frac{ - 241 \pm \sqrt{58969} }{2 \times 1} \\ \\ \tt: \implies x = \frac{ - 241 \pm242.8}{2} \\ \\ \tt: \implies \alpha = \frac{ - 241 + 242.8}{2} \\ \\ \green{\tt: \implies \alpha \approx 0.9} \\ \\ \tt: \implies \beta = \frac{ - 241 - 242.8}{2} \\ \\ \green{\tt: \implies \beta \approx - 241.9}$

Answer 2

Answer:

By solving with the help of quadratic formula we get alpha = 0.9 and beta = - 241.9