Question

find sum and product of roots of the quadratic polynomial x²-4√3x+9​

Answer 1

Answer:

sum of root is 4√3 and product of root is 9

Answer 2

Answer:

Given Equation,

→ x² - 4√3x + 9 = 0

We have to find out the sum and product of roots.

General form of quadratic equation is -

→ ax² + bx + c = 0

Let α and β be the roots of the given equation. By relation,

→ α + β = -b/a and,

→ αβ = c/a

Here,

• a = 1
• b = -4√3
• c = 9

So, sum of roots will be,

= -b/a

= -(-4√3)/1

= 4√3

Also, product of roots will be,

= c/a

= 9/1

= 9

Answer:

• Sum of roots = 4√3.
• Product of roots = 9.

•••♪