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If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.?
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If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.?
Given expression: x = (√3+1)/2
Expression to evaluate: 4x^3 + 2x^2 - 8x + 7
- Step 1: Substitute the given value of x into the expression to simplify it.
- Step 2: Calculate the value of x.
- Step 3: Substitute the value of x into the expression and simplify it to get the final result.
Step 1: Substitute the given value of x into the expression.
x = (√3+1)/2
Step 2: Calculate the value of x.
x = (√3+1)/2
x = √3/2 + 1/2
x = 1.366/2 + 0.5
x ≈ 0.683 + 0.5
x ≈ 1.183
Step 3: Substitute the value of x into the expression and simplify.
4x^3 + 2x^2 - 8x + 7
= 4(1.183)^3 + 2(1.183)^2 - 8(1.183) + 7
= 4(1.783) + 2(1.404) - 9.464 + 7
≈ 7.132 + 2.808 - 9.464 + 7
≈ 10.94 - 9.464 + 7
≈ 1.476 + 7
≈ 8.476
Therefore, the value of the expression 4x^3 + 2x^2 - 8x + 7 when x = (√3+1)/2 is approximately 8.476.
Expression to evaluate: 4x^3 + 2x^2 - 8x + 7
- Step 1: Substitute the given value of x into the expression to simplify it.
- Step 2: Calculate the value of x.
- Step 3: Substitute the value of x into the expression and simplify it to get the final result.
Step 1: Substitute the given value of x into the expression.
x = (√3+1)/2
Step 2: Calculate the value of x.
x = (√3+1)/2
x = √3/2 + 1/2
x = 1.366/2 + 0.5
x ≈ 0.683 + 0.5
x ≈ 1.183
Step 3: Substitute the value of x into the expression and simplify.
4x^3 + 2x^2 - 8x + 7
= 4(1.183)^3 + 2(1.183)^2 - 8(1.183) + 7
= 4(1.783) + 2(1.404) - 9.464 + 7
≈ 7.132 + 2.808 - 9.464 + 7
≈ 10.94 - 9.464 + 7
≈ 1.476 + 7
≈ 8.476
Therefore, the value of the expression 4x^3 + 2x^2 - 8x + 7 when x = (√3+1)/2 is approximately 8.476.
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If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.?
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If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.?.
If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x = (√3+1)/2 , find the value of 4x^3+2x^2-8x+7.?.
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