Question

Find the roots of the quadratic equation 5x2+13x+8=0

Answer 1

5x^2+13x+8
by factorisation method we get.
5x^2+(8+5)x+8
5x^2+8x+5x+8
x(5x+8)+1(5x+8)
(x+1)(5x+8)
hence roots are -1 and -8/5

Answer 2

Question :-

$\small \: \bf{ find \: the \: roots \: of \: the \: quadratic \: equation \:} \\ \small \: \: 5 {x}^{2} + 13x + 8 = 0 \:$

Answer:-

$\small \: roots \: of \: the \: given \: equation \: are \\ \: - 1 \: \: and \: \frac{ - 8}{5}$

Step - by - step explanation :-

According to the question,

$\implies \: 5 {x}^{2} + 13x + 8$

Solve this equation by factorisation method,

$\implies \: 5 {x}^{2} + 13x + 8 = 0 \\ \\ \implies \: 5 {x}^{2} + 5x + 8x + 8 = 0 \\ \\ \implies \: 5x( x + 1) + 8(x + 1) = 0 \\ \\ \implies \: (x + 1)(5x + 8) = 0 \\ \\ case \: (1) \: if \: \\ \\ \implies \: x + 1 = 0 \\ \\ \implies \: \boxed{x = - 1}$

$case \: (2) \: if \: \\ \\ \implies \: 5x + 8 = 0 \\ \\ \implies \: 5x = - 8 \\ \\ \implies \: \boxed{x = \frac{ - 8}{5} }$

This is the required solution.