Question

find the roots of the quadratic equations by formula 5x square +13 X+ 8 =0​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$find the roots of the quadratic equations by formula 5x^2+13x+8=0

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$⟹5 {x}^{2} + 13x + 8 = 0$

$⟹5 {x}^{2} + 8x + 5x + 8 = 0$

$⟹5x(x + 8) + 5(x + 8) = 0$

$⟹(5x + 5)(x + 8) = 0$

$⟹5x + 5 = 0$

$⟹5x = - 5$

$⟹\boxed{x = - 1}$

$⟹x + 8 = 0$

$⟹\boxed{x = - 8}$

Therefore,the roots are $\bold{\red{x=-1};\:{x=-8}}\:$

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