The equation x^3 −3x^2 + 9x−5 = 0 has only one real root, which is an irrational number. What is the exact value of this real root? Hint: Use the cubic formula.

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Q: Find the equations whose roots are given. 1. 3, -5 2. 4/5, 3 3. 2 - √5, 2 + √5

A: Solving the problem by finding the equation from the given roots.

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Q: Find the length of side X in the simplest radical form with a rational denominator

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Q: I need help understanding how to solve eqations using the quadratic formula.

A: The Quadratic formula:

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A: area of square = side *side

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A: x= 3✓3

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Q: Find the length of the longest object that will fit inside a cylinder that has a radius of 1 inch…

A: It is given that, the radius of cylinder is 1 inch and height is 2 inches.

Q: What is cubic equation

A: A cubic equation is an equation whose highest degree is 3.

Q: Please use the theorem in the picture to solve for the 5th term of (x+y)^9.

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A: The distance that a person can see to the horizon on a clear day from a point above the surface of…

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Q: The cycloid is the solution to which two well known 'problems' from history?

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Q: and x>0 2) lincar equationi in standard form

A: Solution:- solve by intregrating factor

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Q: Is there a real number whose square is – 1?

A: Given that, The number i.

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A: Using false position method

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A: Given query is to find the increased in volume.

Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: Form the polynomial equation with integral coefficients whose only roots are given. -1,-3,2

A: The roots of the polynomial is:  -1,  -3,  2

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Q: if the side length of a square is 0.5 what would the square root of the area be?

A: Sol:-Given length of a square=0.5 In a square, all the length(side) are equal.so, are of a…

Q: The distance between (5,1),(-2,b) is square root of 85. What is b?

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Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: Given: The distance that a person can see to the horizon on a clear day from a point above the…

Q: Is there an intuitive or creative way to remember quadratic formula?

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Q: Find the length of side x in simplest radical form with a rational denominator. б0° X 30° 6.

A: The objective is to find the length of the side X. Given diagram of the triangle is,

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Q: x 2 - - 14x +33 Evalvate the indeter minate integrel

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Q: Find the length of side x in simplest radical form with a rational Henominator.

A: Find x

Q: 4. у" +у%3D 5х — 6

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Q: Evaluate the integral: 3 49x2dx

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