Question

3. For quadratic equation x^2 + 5 = 0, sum of
zeroes and product of zeroes is: *
(1 Point
1,5
0,-5
-1,5
0,5​

Answer 1

Answer :

0 , 5 (4th option)

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 ;

x² + 5 = 0 .

The given quadratic equation can be rewritten in its general form as ;

x² + 0•x + 5 = 0 .

Now ,

Comparing the above quadratic equation with the general quadratic equation

ax² + bx + c = 0 , we have ;

a = 1

b = 0

c = 5

Now ,

We know that ;

• Sum of zeros = -b/a = -0/1 = 0

• Product of zeros = c/a = 5/1 = 5

Hence ,

The sum of zeros and the product of zeros are 0 and 5 respectively .