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

These Oil Pastels Are Changing How Artists Paint—Don’t Miss This Visual Spectacle!
Epic Oil Pastel Trends You Won’t Believe Are Now THE Going Popular Trend!
You Won’t Believe These Stunning Oil Paintings That Will Blow Your Mind!

🔗 Related Articles You Might Like:

📰 Cinderella Unni Wakes Up With a Secret That Will Change Everything Forever 📰 The Girl Known as Cinderella Unni Holds the Key to Mystery No One Saw Coming 📰 How Cinderella Unni Secretly Became the Whispered Saviour of the Kingdom 📰 You Wont Believe How This One Password Protects Your Word Words From Hackers 7339755 📰 Breaking Yahoo Finance Canada Exposes The Hidden Investment Trends Redefining Canadian Markets 8001937 📰 Financial Health 7655229 📰 Sabrina Harman 126754 📰 What Is Todays Rate Of Gold 6937086 📰 Creatine Before Or After Workout 433760 📰 Unlock Free Access Pecos Provider Enrollment Keys Just Dropped 7026850 📰 Diesel Top Secrets What Roads And Mechanics Are Afraid To Reveal 796335 📰 This Rascals Obsession With A Dreaming Girl Shattered Realityyou Wont Believe What Happened Next 3144773 📰 Instant Java Secrets Revealed Fix Code Faster With These Simple Tricks 2195335 📰 Gilt 4818574 📰 Breaking Yahoo Finance Breaks Coverage On Audusdsdwhy This Stock Is Making Everyone Talk 8501032 📰 Gravity Water Filtration System 2412209 📰 High Yield Certificate Of Deposit 1409779 📰 Connect Msolservice 553952

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