Math Problem Statement
Tolong dijawab
Solution
The image contains three mathematical problems under the instruction "Tentukan nilai X dari," which means "Determine the value of X from."
Let's break them down and solve each one.
Problem a:
First, simplify the right-hand side:
Next, add 2 to both sides:
Now, divide both sides by 8:
Problem b:
First, distribute the 6 on the left-hand side:
Now, add 6 to both sides:
Finally, divide both sides by 30:
Problem c:
Square both sides to eliminate the square roots:
Now, move the terms involving to one side:
Divide by :
Here are the solutions:
- a)
- b)
- c)
Do you want further details or explanations for any of these steps?
Here are 5 related questions:
- How do you simplify square roots in equations?
- What happens when you square both sides of an equation?
- How do you solve an equation involving fractions?
- Why is it important to isolate variables in algebraic equations?
- What are the different methods to solve quadratic equations?
Tip: When dealing with square roots, always check if squaring both sides introduces extraneous solutions.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Square Root Equations
Algebra
Formulas
Linear equation: ax + b = c
Square root equation: √(ax + b) = c
Theorems
Principle of squaring both sides to remove square roots
Basic algebraic operations (addition, subtraction, multiplication, division)
Suitable Grade Level
Grade 8-10