The altitude of a triangle is 8 m less than twice its base. The area of the triangle is 80 m². Find the base and altitude. Approximate irrational roots to the nearest tenth.

Q: Solve for the roots in simplest form by completing the square: 2x + 28x – 30 = 0 -

A: given 2x2+28x-30=0 claim solve for roots in simplest form by completing square

Q: The equation  x^2+px+q=0 is given. Find parameters p  and q such that the difference of roots of the…

A: Given equation: x2+px+q=0 Let α and β are the roots of the equation. α+β=-p1=-p α·β=q1=q

Q: How many positive real roots are there in the equation 7x+5x+3x³+x=0? a. 2 b. 0 c. 3 d. 1

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: The equation x^3 −3x^2 + 9x−5 = 0 has only one real root, which is an irrational number. What is the…

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Q: Solve for the root using Bisection, Newton Raphson, and Secant Method x³ 2x 5 = 0 -

A: Let us consider the function f(x). The roots of the function using the bisection method is obtained…

Q: Solve 4cos(3x)=2 for the smallest three positive solutions. Give your answers accurate to at least…

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Q: Solve for the roots in simplest form by completing the square: x² – 2x – 15 = 0 - Answer: Submit…

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Q: Find the roots of x+2x+5=0 by using quadratic formula.

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Q: Use the quadratic formula to solve for x. 2x+8x= -1 Round your answer to the nearest hundredth. If…

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Q: 2. In the equation x2 + 40x + n = 0, find n if one root is 3 times larger than the other root.…

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Q: the method of completing the square to solve the quad 3x – 7 = 0, which number would have to be…

A: In this question we will use basic of algebra i.e solution of quadratic equation by completing…

Q: Solve for all values of x by factoring. x2 – 15x + 56 = 0 %3D

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Q: Solve for the roots using algebraic method. 3x²–5x+2

A: Let us consider the equation ax2+bx+c=0. To find the roots using the quadratic equation, split bx in…

Q: Solve for the roots  3x3-11x2+5x+3

A: We have to find the roots of the polynomial 3x3−11x2+5x+3. For the roots of the polynomial, solve…

Q: Use the guadratic formula to solve for x. 6x+2x= 3 Round your answer to the nearest hundredth. If…

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Q: x2 - 2x + 13x3

A: To solve the given polynomial for the roots. To state the method used for factoring.x2-2x+13x3

Q: Solve for the roots   4x2-5x-2

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Q: List the solutions of the equation: 0 = 3x2 – 16x 8 • Your answers must be in exact form, do not…

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Q: Find the value of k for which the given equation has equal roots. Also, find the roots.Also, find…

A: Given the equation :

Q: Solve for the roots in simplest form by completing the square: 2 + 18r – 27 = 0 Answer: Submit…

A: The quadratic equation is x2+18x-27=0.

Q: Solve the equation by extracting the square roots. When a solution is irrational, list both the…

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Q: Without solving for the roots, determine the sum and product of the roots of the following equation.…

A: Topic = Equations

Q: 3xー12x-3×ナ2

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Q: Solve for the roots in simplest form by completing the square: -6x² -96x 90 = 0

A: Given, -6x2-96x-90 = 0   We have to find the roots in simplest form by completing the square method.…

Q: Solve by finding the square roots. (Round to the nearest hundredths. If no x-ints, type "none", If…

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Q: Without solving for the roots, determine the sum and product of the roots of the following equation.…

A: Given query is to find the sum and product of the roots.

Q: Solve for the roots 3x2-5x+2

A: Solution :-

Q: The sun of the roots of 2x +10x-4=0 is

A: x3+a x2+bx+ c = 0 Then sum or roots of this equation is = -a Compare equation 2x3+10x-4 = 0  Then…

Q: x4 - 10x² +9

A: We will solve the given equation by using the factor method.Below find the solution in the image.

Q: Solve the equation x4 – 9x3 + 45x² - 87x + 50 = 0 given that 3+ 4i is one of the roots.

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Q: Use the Quadratic Formula and a calculator to find all real solutions, rounded to three decimals. x2…

A: Using the quadratic equation to find the value of x compare the equation with ax2+bx+c=0 multiply…

Q: Solve for the roots in simplest form using the quadratic formula: 2x2 – 22 = 16x

A: Given :             The equation is 2x2 - 22 = 16x   To solve for the roots of 2x2 - 22 = 16x…

Q: Solve for the root using Bisection, Newton Raphson, and Secant Method 1. 3x³ 4x²-3x - 2 = 0

A: Let us consider the function f(x) Bisection method  Table some value of f(x) and find and b such…

Q: The roots, to the nearest hundredth, of y-7.2x-33. lx+ 18.3 are

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Q: Solve for the roots in simplest form by completing the square: x + 18x – 27 = 0

A: Given, x2+18x-27=0

Q: → How mang the equation roots of 2. X+4X +4=o has? Give reason.

A: Quadratic equation can have at most 2 roots.

Q: The base of a triangle is x cm long and it's altitude is quarter the length of its base. if the…

A: It is given that, base of triangle=x cm               Its altitude=base of triangle4=x4cm      Area…

Q: Without solving for the roots, determine the sum and product of the roots of the folle еquations.…

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Q: Find the range in which the roots of the equation 3x^5-15x^3+4x-4=0 lie.?

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Q: Obtain the roots of the following equation by the fixed point method starting at x = 1 and solving…

A: To obtain the root of 4x2-2x-9=0 using fixed point method with x0=1

Q: List the solutions of the equation: 0 = 4.x 12x + 18 Your answers must be in exact form, do not give…

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Q: According to Descartes's rule of sign, how many possible positive and negative roots are there for…

A: Answer is  3 positive roots  And 1 negative root. Explanation is given below..

Q: What is the correct number and type of solution(s) for this quadratic equation, - 2x2 – 5x – 4 = 0?…

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Q: Solve for the roots 16x4-1

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Q: What is the first step in finding the three cube roots of -1?

A: We have to find the first step in finding the cube roots of -1.

Q: Use the Quadratic Formula and a calculator to find all real solutions, rounded to three decimals. x2…

A: To Determine: Use the Quadratic Formula and a calculator to find all real solutions, rounded to…