Question

The product of roots of polynomial 2x^2-5x+3 is *

Answer 1

Answer :

Product of roots = 3/2

Note:

★ The possible values of the variable which satisfy the equation are called its roots or solutions .

★ A quadratic equation can have atmost two roots .

★ The general form of a quadratic equation is given as ; ax² + bx + c = 0

★ If α and ß are the roots of the quadratic equation ax² + bx + c = 0 , then ;

• Sum of roots , (α + ß) = -b/a

• Product of roots , (αß) = c/a

Solution :

Here ,

The given quadratic equation is ;

2x² - 5x + 3 = 0 .

Now ,

Comparing the given quadratic equation with the general quadratic equation

ax² + bx + c = 0 , we have ;

a = 2

b = -5

c = 3

Now ,

→ Product of roots = c/a = 3/2

Hence ,

Required answer is 3/2 .