Question

Solving by factorizaton method
what the roots of the given
quadratic equation:-x2
+x-20=0
are the​

Answer 1

$\boxed{ \star{\large{given}} \star}$

$the \: qradratic \: equation \: is \: {x}^{2} + x - 20 = 0$

$\boxed{ \star{to \: find \star}}$

$what \: are \: the \: root \: of \: the \: given \: qradratic \: equation.$

$\boxed{ \star{solution \star}}$

Given equation :-

$\: \: \: \: \: {x}^{2} + x - 20 = 0$

According to the question,

$\: \: \: \: \: \: \bold{ {x}^{2} + x - 20 = 0}$

$\: \: \: \: \: \: {x}^{2} + (5 - 4)x - 20 = 0$

$\: \: \: \: \: \: {x}^{2} + 5x - 4x - 20 = 0$

$\: \: \: \: \: \: x(x + 5) - 4(x + 5)$

$\: \: \: \: \: \: (x + 5)(x - 4)$

x + 5 = 0 ; x - 4 = 0

x = -5 ; x = 4

$\: \: \: \: \: \: \bold{x = - 5 \: and \: 4}$

$\bold{therefore \: the \: roots \: of \: the \: qradratic \: equation \: are \: \boxed{ - 5} \: and \: \boxed{4}}$