Question

can anyone factorize z²+z+1/4?

Answer 1

SOLUTION.....

${z}^{2} + z + 1 \div 4 = 0$
multiply both sides by 4.

$4 {z}^{2} + 4z + 1 = 0$
$4 {z}^{2} + 2z + 2z + 1 = 0$
2z (2z+1) + 1 (2z+1) = 0
(2z+1)(2z+1) = 0
Therefore,

z = - 1/2 or -1/2.

HOPE THIS WILL HELP YOU......

☆☆@ Mr. Thakur☆☆

Answer 2

$\huge{hey Mate}$


⭐ $\huge{z2+z+1/4}$ ⭐




=> Factor z^2+z+1/4

z2+z+14z2+z+14

Factor using the perfect square rule.

Tap for fewer steps...

Rewrite 11 as 1212.

z2+z+124z2+z+124

Rewrite 44 as 2222.

z2+z+1222z2+z+1222

Rewrite.

z2+z+(12)2z2+z+(12)2

Check the middle term by multiplying 2ab2ab and compare this result with the middle term in the original expression.

2ab=2⋅z⋅122ab=2⋅z⋅12

Simplify.

2ab=z2ab=z

Factor using the perfect squaretrinomial rule a2+2ab+b2=(a+b)2/2a2+2ab+b2=(a+b)2, where a=za=z and b=12b=1/2.

(z+1/2)2