Question

If the roots of a x² - 6x +3=0 are
equal, then a=.
a)4 c)6
b) 5
d) 3
​

Answer 1

Answer:

3

Step-by-step explanation:

Given :  the roots of a x² - 6x +3=0 are  equal

To find : the value of a

solution:

Let the roots be x and x (since both are equal)

X+x = 6/a

2x = 6/a

x = 3/a

xa = 3 ( this is equation 1)

X*X = 3/a

X*Xa = 3

X*3 =3 ( from equation 1 we get X*a = 3)

X = 1

Now put the value of X=1 in equation 1 to get the value of a:-

xa = 3

1*a=3

a=3

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