\Rightarrow 25k^2 + 9k^2 = 1156 - Coaching Toolbox
How to Solve 25k² + 9k² = 1156: A Step-by-Step Guide
How to Solve 25k² + 9k² = 1156: A Step-by-Step Guide
If you’ve stumbled upon the equation 25k² + 9k² = 1156 and wonder how to solve it, you're not alone—equations like this appear frequently in algebra and math coursework. Whether you’re a high school student, a homeschooling parent, or someone brushing up on foundational math, this guide breaks down the process step-by-step to make solving for k fast and easy.
Understanding the Context
Understanding the Equation
At first glance, the equation looks simple:
25k² + 9k² = 1156
But combining like terms is the key to simplifying and solving it.
Image Gallery
Key Insights
Step 1: Combine Like Terms
Both terms on the left-hand side involve k², so you can add their coefficients:
25k² + 9k² = (25 + 9)k² = 34k²
So, the equation becomes:
34k² = 1156
Step 2: Isolate k²
🔗 Related Articles You Might Like:
📰 Stop Lagging—Update Your Mouse Drivers Like a Pro Today! 📰 The Secret Trick to Slash Mouse Lag by Updating Your Drivers Now! 📰 Is Your Mouse Mysteriously Slow? Fix It with This Simple Driver Update! 📰 Ebony Boobsbig The Secret Beauty That Stirs Desires Watch Now For Shocking Results 6540544 📰 Cancel Microsoft 365 Before Virginous Fees Hitact Now To Avoid Surprises 3444359 📰 Finally Large Luxurious Big Lots Recliners Dont Miss Out 13695 📰 This Little Spruce Bank Has Overhauled Spruce Bankingare You Ready To Change 852310 📰 How The Centennial Gun Club Stopped Time 100 Years Of Passion Precision And Tradition 3730883 📰 These Camel Toe Pics Are Hotter Than A Desert Sunrise Watch Now 1889642 📰 How Just One Rule In Gn Math Unlocks Lightning Speed Calculation 1956690 📰 Unlock The Ultimate Link Lista Discover Every Must Link Board Today 7780659 📰 You Wont Stop Scrolling The Naughty Secrets Behind Her Sisters Private Life 8694538 📰 Pretty Derby Action With Uma Musumeyou Wont Believe How Beautiful She Shines 3835634 📰 Compound Interest Yearly 4460825 📰 Have A Good Day 9594461 📰 When Does Daylight Savings Time Start 1852426 📰 Ardmore Pizza 559613 📰 Lax To Bna 805546Final Thoughts
To isolate k², divide both sides by 34:
k² = 1156 ÷ 34
Now compute the division:
1156 ÷ 34 = 34
So:
k² = 34
Step 3: Solve for k
Now take the square root of both sides:
k = ±√34
Since √34 is an irrational number (approximately 5.83), the solutions are:
k = √34 and k = –√34
Why This Formula Matters
This type of quadratic simplification is fundamental in algebra. Understanding how to combine like terms, isolate variables, and take square roots equips you to solve more complex equations in physics, engineering, and advanced math.
