Question

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

2. -5
О-2,5
ОО ОО
2 , 5
О-2, -5​

Answer 1

$Given \: Quadratic \: equation :$

$x^{2} - 3x - 10 = 0$

$\implies x^{2} - 5x + 2x - 10 = 0$

$\implies x( x - 5) + 2( x - 5) = 0$

$\implies (x-5)(x+2) = 0$

$\implies x - 5 = 0 \: Or \: x + 2 = 0$

$\implies x = 5 \: Or \: x = -2$

Therefore.,

$\green { -2 \:and \: 5 \: are \: roots \: of }$

$\green { the \: given \: Quadratic \: Equation}$

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Answer 2

${\tt{\purple{\underline{\underline{\huge{Answer:}}}}}}$

${\pink{\boxed{Given}}}$

$\sf\implies \: Quadratic \: equation :$

$\dashrightarrow x^{2} - 3x - 10 = 0$

$\implies x^{2} - 5x + 2x - 10 = 0$

$\implies x( x - 5) + 2( x - 5) = 0$

$\implies (x-5)(x+2) = 0$

$\implies x - 5 = 0 \: Or \: x + 2 = 0$

$\implies x = 5 \: Or \: x = -2$

$\large{ -2 \:and \: 5 \: are \: roots \: of \:given\:qudratic\:equation. }$

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