Question

Find the value of m for the quadratic equation, mx(x-2)+6=0, so that it has two equal roots. *

Answer 1

Step-by-step explanation:

We can find the roots of the equation by two methods: 1.Factorisation method 2.By using Quadratic formula

Answer 2

Answer:  

The value m = 6

Given problem:

Find the value of m for the quadratic equation, mx(x-2)+6=0, so that it has two equal roots.

Step-by-step explanation:

given equation  mx(x-2) + 6 = 0

                       mx²- 2mx + 6 = 0_(1)

compare equation (1) with ax² + bx + c = 0  

⇒ a = m, b = -2m  and   c = 6  

given that (1) has equal roots  

then discriminant D will be equal to 0

⇒      b² - 4ac = 0

    (-2m)² - 4(m)(6) = 0

           4m² - 24m = 0          

               m² - 6m = 0  

                m(m-6) = 0    

              m = 0  and  m - 6 = 0  

                                       m = 6

for m = 0  the equation is not valid

⇒  value of m = 6