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If 4x^2 - 12 x + k is a perfect square then the value of k is?
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If 4x^2 - 12 x + k is a perfect square then the value of k is?
Find the Value of k in a Perfect Square Trinomial
To determine the value of k in the perfect square trinomial 4x^2 - 12x + k, we need to follow a specific process.
Completing the Square
When the quadratic expression is in the form of ax^2 + bx + c, we can determine if it is a perfect square trinomial by completing the square. In this case, the given expression is 4x^2 - 12x + k.
Identify the Coefficient of x
The coefficient of x in the given expression is -12. To find the value of k, we need to take half of this coefficient and square it.
Calculating the Value of k
Half of -12 is -6. Squaring -6 gives us 36. Therefore, the value of k in the perfect square trinomial is 36.
Final Answer
The value of k in the expression 4x^2 - 12x + k that makes it a perfect square trinomial is 36.
To determine the value of k in the perfect square trinomial 4x^2 - 12x + k, we need to follow a specific process.
Completing the Square
When the quadratic expression is in the form of ax^2 + bx + c, we can determine if it is a perfect square trinomial by completing the square. In this case, the given expression is 4x^2 - 12x + k.
Identify the Coefficient of x
The coefficient of x in the given expression is -12. To find the value of k, we need to take half of this coefficient and square it.
Calculating the Value of k
Half of -12 is -6. Squaring -6 gives us 36. Therefore, the value of k in the perfect square trinomial is 36.
Final Answer
The value of k in the expression 4x^2 - 12x + k that makes it a perfect square trinomial is 36.
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If 4x^2 - 12 x + k is a perfect square then the value of k is?
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If 4x^2 - 12 x + k is a perfect square then the value of k is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 4x^2 - 12 x + k is a perfect square then the value of k is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 4x^2 - 12 x + k is a perfect square then the value of k is?.
If 4x^2 - 12 x + k is a perfect square then the value of k is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 4x^2 - 12 x + k is a perfect square then the value of k is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 4x^2 - 12 x + k is a perfect square then the value of k is?.
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