Question

If zeros of the quadratic polynomial a x square + x +a are equal then a=

Answer 1

Answer:

a = ±1/2

Step-by-step explanation:

Given a quadratic polynomial such that,

$a {x}^{2} + x + a$

Also, it's given that,

The zereos are equal.

Let the zeroes be 'm'.

Now, we know that,

Sum of zereos = -b/a

=> m + m = -1/a

=> 2m = -1/a .......(1)

Also, we know that,

Product of zereos = c/a

=> m × m = a/a

=> m^2 = 1

=> m = ±1

Substituting this value in (1), we get,

=> 2(±1) = -1/a

=> ±2 = -1/a

=> -1/a = ±2

=> a = -1/±2

=> a = -(±1)/2

=> a = ±1/2

Hence, required value of a = ±1/2

Answer 2

Answer:

but why he deactivated