Question

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

Answer 1

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

$\green{\tt{\therefore{\alpha\approx5.4}}}$

$\green{\tt{\therefore{\beta\approx-246.4}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies {x}^{2} + 241x - 1332 = 0 \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Value \: of \: x = ?$

• According to given question :

$\tt{ Let \: \alpha \: and \: \beta \: be \: zeroes \: of \: eqn} \\ \tt: \implies {x}^{2} + 241x - 1332 = 0 \\ \\ \tt \circ \: a = 1 \\ \\ \tt \circ \: b = 241 \\ \\ \tt \circ \: c = - 1332 \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies D = {b}^{2} - 4ac \\ \\ \tt: \implies D = {241}^{2} - 4 \times 1 \times ( - 1332) \\ \\ \tt: \implies D = 58081 + 5328 \\ \\ \tt: \implies D= 63409 \\ \\ \tt: \implies x = \frac{ - b \pm \sqrt{D} }{2a} \\ \\ \tt: \implies x = \frac{ - 241 \pm \sqrt{63409} }{2 \times 1} \\ \\ \tt: \implies x = \frac{ - 241 \pm251.8}{2} \\ \\ \tt: \implies \alpha = \frac{ - 241 + 251.8}{2} \\ \\ \green{\tt: \implies \alpha \approx5.4} \\ \\ \tt: \implies \beta = \frac{ - 241 - 251.8}{2} \\ \\ \green{\tt: \implies \beta \approx - 246.4}$