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Solve the following equations by reducing them to quadratic equations:-
x²+5x²–36?
x²+5x²–36?
Most Upvoted Answer
Solve the following equations by reducing them to quadratic equations:...
Reducing the Equation to Quadratic Form:
To solve the equation -x² + 5x - 36, we need to first rearrange the terms to make it a quadratic equation.
- Start by rearranging the terms:
-x² + 5x - 36 = 0
x² - 5x + 36 = 0
Using Quadratic Formula:
- Identify the coefficients of the quadratic equation:
- a = 1
- b = -5
- c = 36
- Substitute the values into the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
- Perform the calculations:
x = (5 ± √((-5)² - 4*1*36)) / 2*1
x = (5 ± √(25 - 144)) / 2
x = (5 ± √(-119)) / 2
Complex Roots:
Since the discriminant (√(-119)) is negative, the roots will be complex numbers. The equation has no real roots.
Therefore, the solution to the equation -x² + 5x - 36 = 0 when reduced to quadratic form is x = (5 ± √(-119)) / 2, resulting in complex roots.
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Solve the following equations by reducing them to quadratic equations:-x²+5x²–36?
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Solve the following equations by reducing them to quadratic equations:-x²+5x²–36? for Class 10 2024 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+5x²–36? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equations by reducing them to quadratic equations:-x²+5x²–36?.
Solve the following equations by reducing them to quadratic equations:-x²+5x²–36? for Class 10 2024 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+5x²–36? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equations by reducing them to quadratic equations:-x²+5x²–36?.
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