Question

factorize z²+z+1/4?

Answer 1

Answer:

(z+1/2)(z+1/2)

Step-by-step explanation:

It is in the form of (a+b)²

Answer 2

Answer: Z= -1/2 , -1/2

Step-by-step explanation:

, OUR EQUATION IS

Z² + Z+ 1/4 =>( 4Z² + 4Z + 1)1/4 =0

SO OUR EQUATION IS 4Z²+4Z + 1

NOW BY SPLITTING THE MIDDLE TERM

WE KNOW. B= 4. ( Don't take Z it is a variable)

AC= 4 × 1 = 4

, NOW BY SPLITTING. WE GET 2 × I.e; 2+2=4 and 2×2=4

SO WE GET 4Z² +2Z +2Z +1

2Z(2Z+ 1) +1(2Z+1)

SO Z= -1/2. OR. Z=-1/2

SO, THERE ARE TWO EQUAL ROOT