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4 years ago

X^3-5x=59 the soloution is between 4 and 5

Mathematics

1 answer:

lisov135 [29]4 years ago

7 0

Answer:

True

x = 4.32 (2 dp)

Step-by-step explanation:

x³ - 5x = 59

x³ - 5x - 59 = 0

x = 4

4³ - 5(4) - 59 = -15

x = 5

5³ - 5(5) - 59 = +41

A change in sign indicates the existence of root between 4 and 5

Use iterative process to identify the root

x³ - 5x - 59 = 0

x³ = 5x + 59

x = (5x + 59)^⅓

Start at any x between 4 and 5

x(n+1) = (5x(n) + 59)^⅓

x0 = 4.8

x1 = 4.362070671

x2 = 4.323369309

x3 = 4.319915667

x4 = 4.319607202

x5 = 4.318579649

Clearly x is 4.32 (2 dp)

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4 years ago

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3 years ago

Read 2 more answers

What is the power of x? A) 2 B) 3 C) 6 D) 7

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

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Let's multiply and find the value of x:

$(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2$

Hence, the correct answer choice is A

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4 years ago