Question

The roots of the quadratic equation x² – 3x – 10 = 0 are​

Answer 1

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$\longmapsto\sf\green{Given \:equation = {x}^{2} - 3x - 10 = 0}$

⠀

$\longrightarrow\sf{{x}^{2} - (5x + 2x) - 10 }$

$\longrightarrow\sf{({x}^{2} - 5x) + ( 2x - 10 )}$

$\longrightarrow\sf{x (x - 5) + 2 (x - 5)}$

$\longrightarrow\sf{(x + 2)(x - 5)}$

$\longrightarrow\sf{x = -2\: and \:x = 5}$

$\longrightarrow\sf\underline\red{Thus \:zeroes\: of \:given \:equation = -2\: and \:5}$

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