Based on this graph, what are the roots of the equation -x² – 2x + 8 = 0?

Q: If 4x -100 = 0, the roots of the equation are (1) -25 and 25 (2) -25,only (3) -5 and 5 (4) -5 only…

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Q: Find the roots of 2x2-2(√2x) +1=0,If they  exist using quadratic formula

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Q: Use the discriminant to determine the nature of the solutions of the equation.

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by the expression D=b2-4ac. If the…

Q: Find a quadratic equation whose product of roots x₁ and X2 equal to 4 and satisfying the relation X₁…

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Q: Use the graph to find the solutions of -x-x+4 = 0. 2 4

A: NOTE: Refresh your page if you can't see any equations. .

Q: use graphs to find approximate solutions 3x - 0.5 = 0

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Q: Use a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.

A: x3 - 3x2 - 4x + 8 = 0.

Q: What are the roots of the equation x2 - 16x + 65 = 0 in simplest a + bi form?

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Q: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…

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Q: By using the method of completing the square. Show that the equation 4x2 + 3x + 5 = 0 has no real…

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Q: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: roots of the quadratic equation 2x2=18 is?

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Q: Construct an equation whose roots are less than 4 of the roots of x'+3x –12x-10=0

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Q: Find all real solutions of the equation.

A: Given: xx+2-3=1x+2

Q: Find the roots of 2x2-2(sqrt2) x+1=0 , if they exist using quadratic formula

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Q: Find the rational roots of equation x³+3x²-14x+8

A: Given equation is: x3+3x2-14x+8=0 We have to find the rational root of the above equation.

Q: Write an equation with real coefficients that has roots 3, -3 and 2+4i

A: We have to find the equation

Q: Use a graphing utility to solve 5x3 - 2 = x - x2 . Round answers to two decimal places.

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Q: Find the X and Y intercepts of  y= 1 - the square root of 1 -x2

A: Given,

Q: What are the roots of the equation 2x² + 11x = -20 in simplest a + bi form?

A: In the question it is asked to calculate the roots of 2x2+11x=-20 and express the complex roots in…

Q: What are the roots of the equation x2 + 14x + 50 = 0 in simplest a + bi form?

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Q: Find the quadratic function for which: Vertex (3,-4) is contains the point( 4,2)

A: Solution: A quadratic function can be written in the vertex form : f(x) = a(x-h)2 + k where (h, k)…

Q: Find all points on the x-axis that are 6 units from the point .(4,-3)

A: Consider the point on the x-axis be (x, 0)

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Suppose ax2+bx+c = 0 is a quadratic equation. The discriminant of the quadratic equation is b2-4ac.…

Q: Determine the equation of the quadratic with roots of of -32. +13 -2± √2 and that has a y-intercept

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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: The function x- 2r-6x+22x – 15=0 has how many roots?

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Q: What are the roots of the equation 4x² = 8x – 9 in simplest a + bi form? -

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Q: Find the roots of -x3 + 9x2 -18x = 0

A: Solution: The objective is to find the roots of the given equation

Q: What are the roots of the equation 5x+ 15 = 17x in simplest a + bi form?

A: Given equation is 5x2-17x+15.

Q: What is Relationship between the Coefficients and Roots of a Quadratic Equations?

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Q: 4. Determine the roots of the equation x + 2x - 15. x + 2x = 15

A: Here, to determine the roots of the equation: x2+2x=15...(1)

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

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Q: The equation of whose roots are the reciprocal of the roots of 2x² - 3x-5 = 0 is?

A: We know that if α, β are the roots of the equation ax2+bx+c = 0, then the equation with roots 1α, 1β…

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. x = In(4…

A: Given, x=ln4-x2 ex=4-x2 x2+ex-4=0 at x=1 1+e-4=1+2.71-43.71-4=-0.71 at x=2 4+e2-4=e2 at x=1 function…

Q: find the quadratic equation with integral coefficients whose roots are 0 and -7.

A: we have to find the quadratic equation

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. ex2 - 2…

A: Use a graphing device to find all solutions of the equation, rounded to two decimal places.…

Q: Use the derivative to find the vertex of each parabola y = -2x2 + 12x - 5

A: y=-2x2+12x-5

Q: Use a graphing device to find all real solutions of the equation. x5 = x + 3

A: Here given equation x5 = x + 3 Now let fx=x5,gx=x+3

Q: What are the roots of the equation x2 – 2x + 17 = 0 in simplest a + bi form?

A: We know that roots of the quadratic equation ax2+bx+c=0 is given by x=-b±b2-4ac2a Now, the given…

Q: Use the meaning of cube roots to show how to find an exact solution to the equation Vx + 2 = -2.

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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: An equation with real coeticients has (-0, 3, and 4 among its roots. What is the lonest possible…

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Q: Find the equation, in vertex form, of the quadratic equation with zeros -1 and 7 and through the…

A: Given: The roots of the quadratic equation as -1 and 7 and the graph of quadratic equation is…

Q: What is the number of real roots of the equation 2x + 3x =- 4?

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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: Find ALL the roots of the equation. 1 y = x° + 6x2 + x + 6

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: use graphs to find approximate solutions 2x = 5

A: Given that, 2x=5

Q: Solve for y. (y2-4)(y2-3)(y-2)=(x2-9)(x2-5)(x2-2) Then, find the points on the curve where x= sqrt…

A: we have to solve the equation (y2-4)(y2-3)(y-2)=(x2-9)(x2-5)(x2-2) for y  let x2=t this equation can…

Q: Find all points on the x-axis that are 5 units from the point (4, - 3).

A: Solution Given (x1,y1)= (4 -3) y2 = 0          (point lies on x- axis) we know the distance formula…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.