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This handwriting sample showcases a blend of practicality and a touch of flair. The initial lines, featuring equations and the phrase ".Verified", present a straightforward, functional script, likely used for everyday calculations and note-taking. The consistency in letter formation and spacing suggests a methodical approach to problem-solving, prioritizing clarity and accuracy.

However, the title "Quadratic Equations" reveals a different side to the penman. Written in elegant cursive, with pronounced flourishes on letters like 'Q' and 'E', it demonstrates a desire for expressiveness and creativity. The marked difference between the two styles implies an ability to adapt communication based on context, switching between a concise, practical mode and a more artistic one. The neatness and alignment with the ruled lines hint at an organized mind that appreciates structure and attention to detail.

While the combination of styles is intriguing, focusing on refining the cursive could elevate this handwriting further. Emphasizing consistent slant and proportion within the cursive letters would create a more polished look. For example, ensuring all the 'a's have the same rounded form and the 't' crossings are uniform would add to its visual appeal. Experimenting with different pen grips or practicing basic strokes could improve overall fluency and control, making both styles more visually harmonious.