f\left(-\frac32\right) = 4\left(-\frac32 + \frac32\right)^2 = 4 \cdot 0 = 0 - jntua results
Understanding the Mathematical Expression: f(–3/2) = 4(–3/2 + 3/2)² = 0
Understanding the Mathematical Expression: f(–3/2) = 4(–3/2 + 3/2)² = 0
Mathematics often reveals elegant simplicity beneath seemingly complex expressions. One such example is the function evaluation:
f(–3/2) = 4(–3/2 + 3/2)² = 0
At first glance, this equation may appear puzzling, but careful analysis uncovers its underlying logic. This article explains step-by-step how and why this expression simplifies to 0, showing the power of basic algebraic operations.
Understanding the Context
The Function: Step-by-Step Breakdown
The function f(x) at x = –3/2 is defined by the formula:
f(–3/2) = 4(–3/2 + 3/2)²
Key Insights
Let’s simplify the expression inside the parentheses:
–3/2 + 3/2 = 0
This is simply the sum of a number and its inverse on the number line—thingally zero.
Evaluating the Square
🔗 Related Articles You Might Like:
📰 10 Heartwarming Spanish Term of Endearment You’ve Never Heard Before! 📰 Discover the Secret Spanish Word Everyone Uses to Show Love! 📰 The Ultimate Guide to the Most Romantic Spanish Term of Endearment! 📰 4Beginners Guide How To Maximize Your Mac Gargan For Ultimate Productivity Gaming 📰 4Is A Libra Only 12 Ounces Click To Unlock The Surprising Truth 📰 4P 2Q 12 Quad Textequation 7 📰 4Revealed Why Let Me In Meme Is Now The Internets Hottest Trend 📰 4Secrets Behind Being A Likeable Person Revealed In This Instant Test 📰 4Secrets Revealed Lock Stock 2 Barrels Dont Miss The Smoking Barrels Breakthrough 📰 4Shocking Lion Yells At Monkey In Epic Battle Thats Going Viral 📰 4You Wont Believe What Madison Iseman Shared In Her Naked Clip 📰 4You Wont Believe Whats Inside This Longganisa A Secret Recipe For Heat 📰 5 120 📰 5 Youre Missing This Legion Television Masterpieceheres Why Its Hiding In Plain Sight 📰 5 Can You Handle Lizardon X Kids Are Obsessedheres Why 📰 5 Finally A Low Sodium Salad Dressing Thats As Zesty As It Is Salt Free 📰 5 From Obscurity To Mass Attention Lori Mccommas Reveal You Didnt See Coming 📰 5 From Zero To Hero Madden Nfl 24 Delivers The Most Deeply Realized Gameplay EverFinal Thoughts
Next, we square the result:
(–3/2 + 3/2)² = 0² = 0
Since any number squared equal to zero remains zero, this directly yields:
f(–3/2) = 4 × 0 = 0
Why This Matters
This example demonstrates a foundational principle in algebra: when an expression inside parentheses evaluates to zero, squaring it results in zero—then scaling by any real number (in this case, 4) preserves this property.
In broader terms, such evaluations help identify roots of functions, test symmetry, or simplify complex expressions in calculus and engineering.
