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

\[6\left[0+2 \cdot \frac{1}{2}-0\right]=6 \pi\]sq. units6. Find the a..

Image Gallery

\[6\left[0+2 \cdot \frac{1}{2}-0\right]=6 \pi\]sq. units6. Find the a..
If \( \frac{1}{2 \cdot 3^{10}}+\frac{2}{2^{2} \cdot 3^{9}}+\frac{3}{2 ...
inequality - $\frac{1}{15}
\[\begin{array}{l}=2 \sqrt{a}\left[\frac{x^{3 / 2}}{\frac{3}{2}}\right]..
f\left(\log \left(\frac{3}{2}\right)^{\frac{1}{2}}\right) & =4 e^{2 . \lo..

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

Continue Reading

Wordle Today March 8
Oppo Find N5
Wifi Mesh Network

🔗 Related Articles You Might Like:

📰 Master How to Build an Ender Portal—Step-by-Step Clues You Don’t Want to Miss! 📰 How to Make an Ender Portal in Minutes—Game-Changing Hack Revealed! 📰 Shocking Hack: Defrost Chicken Fast Without Thawing—Watch This! 📰 Cub Cadet Credit Card 198204 📰 Drovers 8332117 📰 Transform Your Workflowdiscover How Oracle My Desktop Is A Game Changer 937848 📰 Hybe Ticker Alert Is This The Secret To Btss Next Mega Hit Strategy 3642235 📰 Doomsday Mom 1857749 📰 Targa Resources How These Insiders Are Boosting Production Like Never Before 7486422 📰 Hundreds Of Free Shooter Games You Can Playstart Clicking Now For Instant Entertainment 8010667 📰 Timo En Espaol Puede Revolucionar Tu Cocina Aprende Sus Usos Mgicos Hoy 5376490 📰 You Wont Believe The Hsa Max Contribution 2024 Reaches New Records 9755353 📰 Iphone 17 Pro Orange 9048307 📰 Transformers Energon 6362349 📰 Twin Peaks Fort Myers 3407113 📰 Charles Stanley Podcast 8841029 📰 Can Logc Stock Double In Value Inside The Latest Trading Secrets Revealed 4988057 📰 Microsoft Service Trust Portal 4409220

Final 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.

Summary