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Five times of a positive whole numbers 3 less than twice the square of number?
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Finding Five Times a Positive Whole Number 3 Less than Twice the Square of the Number


To find five times a positive whole number 3 less than twice the square of the number, we need to follow the given steps:


Step 1: Understand the problem


Before solving the problem, let's first understand what the question is asking. The problem states that we need to find five times a positive whole number. This means we need to multiply the number by 5. However, the number is not given directly. Instead, we are given a condition that the number is 3 less than twice the square of the number. To find the number, we need to solve this condition.


Step 2: Translate the condition into an equation


We can translate the given condition as:


Number = 2 × (Number)² – 3


This is because the number is 3 less than twice the square of the number. The square of the number is (number)². Twice the square of the number is 2 × (number)². Therefore, the number is 3 less than 2 × (number)².


Step 3: Solve the equation


We can simplify the equation as:


(Number)² – 2 × (Number) + 3 = 0


This is a quadratic equation. We can solve it using the quadratic formula:


Number = [2 ± sqrt(4 – 4 × 1 × 3)] / 2


Number = [2 ± sqrt(4 – 12)] / 2


Number = [2 ± sqrt(-8)] / 2


Number = 1 ± sqrt(2) i


Since the number has to be a positive whole number, we can discard the negative root and take the positive root:


Number = 1 + sqrt(2) ≈ 2.4


However, 2.4 is not a whole number. Therefore, there is no solution to this problem.


Step 4: Conclusion


In conclusion, we cannot find five times a positive whole number 3 less than twice the square of the number because there is no such number that satisfies the given condition. The problem is unsolvable.
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Five times of a positive whole numbers 3 less than twice the square of number?
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Five times of a positive whole numbers 3 less than twice the square of number? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Five times of a positive whole numbers 3 less than twice the square of number? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five times of a positive whole numbers 3 less than twice the square of number?.
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