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irga5000 [103]
3 years ago
6

Help plz!

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

No sure about the equations but here is a dimensioned scale drawing

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?
iogann1982 [59]

ANSWER

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

EXPLANATION

The given function is;

f(x) = 5 {x}^{2}  - 7x + 11

The constant term is 11.

The coefficient of the leading term is 5.

The factors of 11 are ±1,±11

The factors of 5 are ±1,±5

According to the Rational roots Theorem,

the potential roots are obtained by expressing the factors of the constant term over the coefficient of the leading term.

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

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To answer this question we will have to understand the nature of \sqrt{8}.

\sqrt{8} can be rewritten as: \sqrt{2\times 2\times 2} =2\sqrt{2}. Now, \sqrt{2} is an irrational number and thus any of the four operations of addition, multiplication, subtraction or division placed anywhere between any of these terms will always result in an irrational number.

The only way irrational numbers can be made rational is by dividing or multiplying the given irrational number by the same irrational number.

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Step-by-step explanation:

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