Question

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

1 point

5

-5

6

​

Answer 1

Step-by-step explanation:

product of roots of ax^2+bx+c = c/a

c =5, a=1

product of roots = 5/1 =5

Answer 2

${\bigstar}$ SOLUTION :

$\boxed{\sf{ }}$x²-6x+5 = 0

it is in the form of ax² + bx + c = 0

here,

• a = 1
• b = -6
• c = 5

❏Sum Of The Roots :

➠$\frac{ - b}{a}$

➠$\frac{ - ( - 6)}{1}$

➠$\boxed{\sf{ 6 }}$

❏ Product Of The Roots :

➠$\frac{c}{a}$

➠$\frac{5}{1}$

➠$\boxed{\sf{ 5 }}$

Therefore,

➠Sum = 6

➠Product = 5

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QUADRATIC EQUATION FORMAT :

➯x² -(sum of the roots)x + Product of the roots = 0

➯the roots of the equation are values which makes the LHS of the equation equals to its RHS that is zero .

➯Thus ,its sum and products can produce a equation .