Find k in the equation 4x2 + kx + 1= 0 so that it will only have one real root.

Q: With the highest degree term being 4x', the equation 4x - 28x + 24x = 0 is known as a cubic…

A: The given cubic equation is, 4x3-28x2+24x=0 The objective is to find the solutions of the equation…

Q: A basketball is thrown from a height of 4 feet so that it- fx) = -0.03x² + 1.3x+4. If the exact same…

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Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

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Q: 4.16x² - 25

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Q: Find algebraically, all roots (x-intercepts) of the equation f(x) 15x4 + 35x³ 20x You do not need to…

A: Here we have to find the roots of the equations.

Q: Between which two consecutive Integers do we know there is a root of:  y= x3 + x-7

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Q: What value for a will result in an equation with infintely many solutions? a(x + 5) = 3x + 15

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Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: Find all real solutions of the equation.  4x3/4 - 500 = 0

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Q: Explain how you can determine , without solving, the number of real roots a quadratic equation has.…

A: Let us consider a quadratic equation, ax2+bx+c=0

Q: True or False If the discriminant of a quadratic equationis positive, then the equation has two…

A: Solution of an equation f(x)=0 is the value of x which when substituted in the equation satisfies…

Q: A quadratic equation which goes

A: Given, a quadratic equation which goes through the origin has the form…

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: x²-x+1 x² + 2x + 2 -२ хр.

A: To solve: ∫x2-x+1x2+2x+2dx

Q: If one root of the quadratic equation 2x2 +kx-6=0 is 2.find the value of k .Also find the other root

A: Given that 2x2+kx-6=0 and 2 is its root. to find: value of k and rest of the root.   since 2 is its…

Q: Find real solution if any using quadratic formula .  8x2  -x+4=0

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Q: Find the quadratic equation through the origin that is a best fit for the points: (1,1), (2,5),…

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Q: Which choice includes all of the solutions to 2x2 + x – 3 = 0?

A: Given,          The equation is 2x2+x-3=0.

Q: Give any quadratic inequalities equation and solve it using case exploration method

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Q: show that the equation x^5+2x^3+3x-4=0 has exactly one root. Justify your answer.

A: Given equation has only one root. Here is its explanation.

Q: Compute the discriminant of 3x2 - 2x + 5 = 0. What does the discriminant indicate about the number…

A: Given: 3x2-2x+5=0 we know that every quadratic equation has two solutions, if DiscriminantD of…

Q: If one root of the quadratic equation 2x2 +kx-6=0 is 2.find the value of k .Also find the other…

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Q: If one root of the equation 2x²+X+k is double the other root.Find k

A: Using, sum of roots and product of roots

Q: A player kicks the ball, and it travels according to the quadratic equation h(x) - -16x+40x where h…

A: Given h(x) = -16x2+40x Then (a) h'(x) = -32x+40 To find the critical point , put h'(x)=0 Consider…

Q: Show complete solution. Solve for the roots using algebraic method. 16x+ - 1

A: To Solve: The roots of 16x4-1 using algebraic method.

Q: If brad throws a spherical object vertically upward having initial velocity at 200 feet per second…

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Q: Find atleast 1 root for the equation 5x5 + 10x? = 3

A: Introduction: An equation can be described mathematically as a statement that proves the equality of…

Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

Q: The solution set for x−7− square root of 36x =0 consists of

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Q: 2.3x² - 10x + 8

A: The given equation is;  3x2-10x+8.

Q: If one root of the quadratic equation 2x2+kx-6=0 is 2.find the value of k .Also find the other roots

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Q: Which of the following quadratic equations contains the vertex (-5, 6) and has a y-intercept of (0,…

A: Given: - The vertex of the quadratic equation is, (-5,6) and has a y-intercept of (0,31) To find: -…

Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation  5x +3y - 12

Q: Show complete solution. Solve for the roots using algebraic method. 4x²-5x-2

A: Use Dharacharya method

Q: The equation x - 4kx + 10 – 6k = 0 will have two equal roots if the value of k is:

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Q: Find the root of the equation and also verify your answer. 2x4_3x2+1=0

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Q: Consider the quadratic equation 2x-7x+3=0 What is the discriminant of the above equation? No real…

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Q: 4. Solve for x, show work 2x 52 x+ 2°

A: A five sided polygon has measures x+2, 2x, x, 90 degree and outer measure 52 degree

Q: Determine the roots of the equation by factoring 3x2 - x - 4 = 0. Verify the roots and be sure to…

A: Given equation is: 3x2-x-4=0

Q: Please solve and show me the break down. Solve for X. 16x+14(x+1)=30 (x+1) - 16

A: The given expression is;

Q: find the nature of root of 2x2-4x+3=0

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Q: Solve for x. 2* * 6 = 3×-1 3D3

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Q: If one root of the equation X²-Ax+b is 3more than the other root. Find b in terms of a

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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: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: With the highest degree term being x', the equation x* - 13x + 36 = 0 is known as a quartic…

A: We have to solve the equation: x4-13x2+36=0 To do this, we substitute p=x2 into the equation above,…