Math Problem Statement
What is X if ((306×X)× (260×X)+ π× (71× X)× (153× X))× 2+ (70,7530918052× X)²= 400000000
Solution
To solve the equation:
Step 1: Simplify the expression
Let's break this down step by step.
-
First term:
-
Second term:
-
Third term:
Step 2: Substitute simplified terms into the equation
Now the equation becomes:
Simplify the terms inside the parentheses:
Step 3: Solve for
Now, divide both sides by 232811.82:
Step 4: Take the square root to find
Final Answer:
Would you like any further explanations or details about the steps?
Related Questions:
- How would the equation change if we replaced with a different constant, such as 3.14?
- What happens if the power of in the equation changes from to ?
- How do we approach solving similar equations with more terms or powers of ?
- What would happen if the equation were multiplied by a factor of 10 instead of 2?
- How can this approach be used to solve equations with more complex algebraic expressions?
Tip: When solving complex algebraic equations, always start by simplifying terms to reduce the equation to a more manageable form.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Pi (π)
Simplification of Expressions
Formulas
(a × X) × (b × X) = ab × X^2
(π × a × X) × (b × X) = πab × X^2
(a × X)^2 = a^2 × X^2
Theorems
Simplification of algebraic expressions
Quadratic formula
Suitable Grade Level
Grades 10-12
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