Question

${x}^{2} - 5x \div2 = 0$

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Answer 1

$\huge\sf{\underline{\underline{➪Sᴏʟᴜᴛɪᴏɴ \: :-}}}$

Given Quadratic equation is x² + 5x - (α + 1)(α + 6) = 0

⇒ x² + 6x - x - (α + 1)(α + 6) = 0

⇒ x² + (α + 6)x - (α + 1)x - (α + 1)(α + 6) = 0

⇒ x[x + (α + 6)] - (α + 1)[x + (α + 6)] = 0

⇒ [x - (α + 1)][x + (α + 6)] = 0

⇒ [x - (α + 1)] = 0, [x + (α + 6)] = 0

⇒ x = α + 1, -(α + 6).

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