Question

The zeroes of 4x2 + 1 - 4x are :​

Answer 1

Answer:

x = 7/4

Step-by-step explanation:

4×2+1-4x

8+1-4x

4x = 7

x = 7/4

Answer 2

Answer:

The zeroes of the polynomial are $x=\frac{1}{2}, \frac{1}{2}$.

Step-by-step explanation:

Zeroes of a polynomial is found out by equating the polynomial to zero.

That is

          $4x^{2} +1-4x=0\\\\4x^{2} -4x+1=0$

We have the quadratic formula to find out the roots,

$x=\frac{-b}{2a}$ ± $\frac{\sqrt{b^{2}-4ac } }{2a}$,    here, $a=4,\ b=-4,\ c=1$,

substituting in the above formula we get,

$x=\frac{4}{8}$ ± $\frac{\sqrt{16-4(4)(1)} }{8}$         , the discriminant $\sqrt{b^{2}-4ac } =\sqrt{16-16} =0$,

(hence the polynomial has equal roots)

  $=\frac{4}{8} \\\\=\frac{1}{2}$

Hence the answer

thank you