Question

solve the following sentences using the general Formula if the equation has a solution in root "x²+6x+5=0"" using quadratic formula​

Answer 1

Step-by-step explanation:

I hope it will be helpful

Answer 2

The solution set = {-1, -5}

Step-by-step explanation:

For the quadratic equation,

$a {x}^{2} + bx \: + c \: = 0$

By quadratic formula ;

$x = \frac{ - b \:+/- \: \sqrt{ {b}^{2} - 4ac} }{2a}$

${x}^{2} + 6x \: + 5 = 0$

Here, a = 1, b = 6 and c = 5

Therefore,

$x = \frac{ - 6 \:+/- \: \sqrt{ {6}^{2} - 4 \times 1 \times 5} }{2 \times 1}$

=

$x = \frac{ - 6 \:+/- \: \sqrt{36 - 20} }{2 }$

=

$x = \frac{ - 6 \:+/- \: \sqrt{16} }{2 }$

=

$x = \frac{ - 6 \:+/-4}{2} \\ \implies \: x \: = \frac{ - 6 + 4}{2} \: \: \: or \: \: \frac{ - 6 - 4}{2} \\ \implies \: x \: = \: - 1 \: \: or \: \: - 5$

Hence, the solution set = {-1, -5}