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MATH / The fourth degree polynomial equation x⁴−7x³+4x²+7x−4=0 has four real roots, a, b, c and d. What is the value of the sum (1)/(a)+(1)/(b)+(1)/(c)+(1)/(d)? Express your answer as a c…

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problem

The fourth degree polynomial equation x4−7x3+4x2+7x−4=0x^4 - 7x^3 + 4x^2 + 7x - 4 = 0 has four real roots, aa, bb, cc and dd. What is the value of the sum 1a+1b+1c+1d\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}? Express your answer as a common fraction.
Plain-text mathematical notation (without MathML)
The fourth degree polynomial equation x⁴−7x³+4x²+7x−4=0 has four real roots, a, b, c and d. What is the value of the sum (1)/(a)+(1)/(b)+(1)/(c)+(1)/(d)? Express your answer as a common fraction.
Original LaTeX notation
The fourth degree polynomial equation $x^4 - 7x^3 + 4x^2 + 7x - 4 = 0$ has four real roots, $a$, $b$, $c$ and $d$. What is the value of the sum $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}$? Express your answer as a common fraction.

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
52c42cda-b16d-5d43-b911-522da427af53
task_key
intermediate~5falgebra--test--52c42cda-b16d-5d43-b911-522da427af53
task_revision_id
1
config / split
intermediate_algebra / test

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