Question

The product of the roots of the equation x2 -6x+5 =0 is:​

Answer 1

Answer:

${x}^{2} - 6x + 5 = 0 \\ \\ = > {x}^{2} - (5 + 1)x + 5 = 0 \\ \\ = > {x}^{2} - 5x - x + 5 = 0 \\ \\ = > x(x - 5) - 1(x - 5) = 0 \\ \\ = > (x - 5)(x - 1) = 0 \\ \\ either \: x - 5 = 0 \\ \\ = > x = 5 \\ \\ or \: x - 1 = 0 \\ \\ = > = 1 \\ \\ therefore \: product \: of \: two \: roots \\ \\ 5 \times 1 \\ \\ = 5$

hope it helps uH ✔

Answer 2

Answer:

ANSWER

We know that for a quadratic equation ax

2

+bx+c=0, the sum of the roots is −

a

b

and the product of the roots is

a

c

.

Here, the given quadratic equation x

2

−5x+8=0 is in the form ax

2

+bx+c=0 where a=1,b=−5 and c=8.

The sum of the roots is −

a

b

that is:

−

a

b

=−

1

(−5)

=5

The product of the roots is

a

c

that is:

a

c

=

1

8

=8

Hence, sum of the roots is 5 and the product of the roots is 8