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If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1?
Most Upvoted Answer
If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1?
Solution:
Given expression is x(x-3) = -1
Step 1: Solve the given expression
x(x-3) = -1
x² - 3x + 1 = 0
By using the quadratic formula,
x = (3 ± √13)/2
Step 2: Find the value of x³(-x³-18)
For x = (3 + √13)/2
x³(-x³-18) = [(3 + √13)/2]³[-[(3 + √13)/2]³-18]
= -1
For x = (3 - √13)/2
x³(-x³-18) = [(3 - √13)/2]³[-[(3 - √13)/2]³-18]
= 1
Therefore, the value of x³(-x³-18) is either -1 or 1.
Hence, the answer is (D) -1.
Given expression is x(x-3) = -1
Step 1: Solve the given expression
x(x-3) = -1
x² - 3x + 1 = 0
By using the quadratic formula,
x = (3 ± √13)/2
Step 2: Find the value of x³(-x³-18)
For x = (3 + √13)/2
x³(-x³-18) = [(3 + √13)/2]³[-[(3 + √13)/2]³-18]
= -1
For x = (3 - √13)/2
x³(-x³-18) = [(3 - √13)/2]³[-[(3 - √13)/2]³-18]
= 1
Therefore, the value of x³(-x³-18) is either -1 or 1.
Hence, the answer is (D) -1.
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If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1?
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If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1?.
If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x(x--3)=-1 then the valueof x³(-x³-18) will A.2 B.0 C.1 D.-1?.
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