Question

5. If the roots of the equation

Answer 1

SOLUTION US IN THE ATTACHMENT

For a quadratic equation ax² + bx + c =0, the term b² - 4ac is called discriminant (D) of the quadratic equation because it determines whether the quadratic equation has real roots or not ( nature of roots).

D= b² - 4ac

So a quadratic equation ax² + bx + c =0, has

i) Two distinct real roots, if b² - 4ac >0 , then x= -b/2a + √D/2a &x= -b/2a - √D/2a
ii) Two equal real roots, if b² - 4ac = 0 , then x= -b/2a or -b/2a
iii) No real roots, if b² - 4ac <0

HOPE THIS WILL HELP YOU...

Answer 2

In the attachments I have answered this problem.

Result:

If the roots of a quadratic equation are equal then

b^2 - 4ac =0

I have applied the above result to derive the required answer.

See the attachments for detailed solution.