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Solve the following equations by reducing them to quadratic equations:-
x²+5a²–36?
x²+5a²–36?
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Solve the following equations by reducing them to quadratic equations:...
Solving Equations by Reducing to Quadratic Equations
To solve the equation -x² + 5a² - 36 = 0 by reducing it to a quadratic equation, we can substitute a variable to simplify the equation. Let's use y = a².
Step 1: Substitute y = a²
By substituting y = a², the equation becomes -x² + 5y - 36 = 0.
Step 2: Rearrange the Equation
Rearrange the equation to get a quadratic equation in terms of y: 5y = x² + 36.
Step 3: Simplify to Quadratic Equation
To simplify it further, divide by 5: y = (1/5)x² + 36/5.
Step 4: Final Quadratic Equation
Now, we have a quadratic equation in terms of y: y = (1/5)x² + 36/5.
By reducing the given equation to a quadratic equation in terms of y, we have successfully simplified the problem and can now easily solve for the variable a.
To solve the equation -x² + 5a² - 36 = 0 by reducing it to a quadratic equation, we can substitute a variable to simplify the equation. Let's use y = a².
Step 1: Substitute y = a²
By substituting y = a², the equation becomes -x² + 5y - 36 = 0.
Step 2: Rearrange the Equation
Rearrange the equation to get a quadratic equation in terms of y: 5y = x² + 36.
Step 3: Simplify to Quadratic Equation
To simplify it further, divide by 5: y = (1/5)x² + 36/5.
Step 4: Final Quadratic Equation
Now, we have a quadratic equation in terms of y: y = (1/5)x² + 36/5.
By reducing the given equation to a quadratic equation in terms of y, we have successfully simplified the problem and can now easily solve for the variable a.
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Solve the following equations by reducing them to quadratic equations:-x²+5a²–36? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the following equations by reducing them to quadratic equations:-x²+5a²–36? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equations by reducing them to quadratic equations:-x²+5a²–36?.
Solve the following equations by reducing them to quadratic equations:-x²+5a²–36? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the following equations by reducing them to quadratic equations:-x²+5a²–36? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equations by reducing them to quadratic equations:-x²+5a²–36?.
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