Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 is whereas the product of the roots of a quadratic equation is - --

Q: What is the solution to this quadratic, -3x + 8x-6 = -4 + iV2 3 4 +iv2 {*} 3 -4 + 2iv2 3 S4±iv2 3

A: given equation-3x2+8x-6=0compair withax2+bx+c=0a=-3, b=8, c=-6we know that…

Q: Form a quadratic equation with roots 1/5 and −2 with integer coeffecients.

A: 15 & -2.

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

A:

Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A: Here we have given a quadratic equation and we have to find out the value of variable x for which…

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

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Q: Show that in general , the sum of the roots of a quadratic equation ax2 + bc +c =0 is - b/a whereas…

A:

Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminantindicate about the number…

A: The discriminant of 4x2 - 8x + 1 = 0 is:

Q: The solution to 4(2x + 1) = 5x + 3x + 4 is infinite solutions. If false, explain why. True False

A: Solve for solution of x

Q: My neighbor and I like to kick a soccer ball back and forth to each other over the fence. If we each…

A: Consider the given scenario. Given that the neighbour's location in the picture is given by the…

Q: If using the method of completing the square to solve the quadratic equation x2+15x+4=0x2+15x+4=0,…

A:

Q: Find two consecutive positive integers such that the sum of their squares is 265.

A: Given problem:- Find two consecutive positive integers such that the sum of their squares is 265.

Q: The solution of the quadratic equation 5æ² + 5æ + 2 = 0 are. O -5+ V5 20 O -5+ V5 15 O -5+ V5 10 O…

A:

Q: Fill a 4X4 magic square with real numbers so that the product of the numbers in each row is less…

A: For finding the required answer first construct the magic square with order 4.…

Q: Find three quadratic equations: one having two distinctsolutions, one having no real solution, and…

A: Quadratic equation having two distinct solutions-  x2+x-6.

Q: Solve the given quadratic equation using the method of your choice. 722 + 19 = 31z + 7 o {흙, 4} o…

A:

Q: If possible, solve 3(x + 2) = 5 in Z7.

A: Given equation is 3(x+2)=5

Q: What is the discriminant and what information does it provide about a quadratic equation?

A:

Q: I had a question regarding the quadratic formula. Based on the equation x = [-b +/- sqrt(-b^2 -…

A: As we are discussing about quadratic equations and of we want to determine equation have infinite…

Q: 1,5х + 2х, 3D 4 4x1 +X2 = 6

A:

Q: Obtain all four roots of the equation = ++-0, and then express * +4 as product of quadratic factors…

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Q: What is the solution to this quadratic, -3x2 + 8x - 6 = 0 -4 +iv21 3 4±iv2 -4 2iv2 4 +iv2 {*}

A:

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: What is the average of the two solutions of the arbitrary quadratic equation ax2 + bx + c = 0?…

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Q: Find the equation of a quadwith roots 1+ square root of 5 and 1- square root of 5 which passes…

A: Please find attachment

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

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: If the quadratic formula is used to solve 2x2 - 3x - 1 = 0, what are the solutions?

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Q: discriminate

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Q: quadratic equation has two distinct real roots, what does this say about its discriminant?

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

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Q: Write a quadratic equation in standard form with roots -- and 2 and passing through the point (0,…

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Q: If using the method of completing the square to solve the quadratic equation 22 - 15z - 23 =0, which…

A: Given: x2-15x-23=0 We know that a2-2ab+b2=a-b2                                        ..1

Q: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

A: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

Q: 16. Find the discriminant of x-4x + 6- 0.

A: This question is based on Quadratic equation.

Q: The solution of the quadratic equation 5æ? + 5x + 4 = 0 are, -5 + v-55 10 O -5 + V-15 10 O -5± V-15…

A:

Q: The solutions of the quadratic equation 3z2 = 4x 17 are, O -4+v-137 -4+V-86 9. O 4+v-188 6. O -4+v-…

A:

Q: 10 -10 -5 10 -5 -10

A: If the graph of the quadratic function crosses the x-axis at two points then we have two solutions.…

Q: Determine a quadratic equation which passes through the points (0,10), (1, 6) and (-2, 24).

A: Let the standard form of the quadratic equation is y = ax2 + b x + c   where a, b and c are three…

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

A: we have to find the quadratic equation

Q: Will “the domain and range of a quadratic equation will be [-∞, ∞]”? Why?

A: The general form of a quadratic equation is ax2+bx+c=0 where a, b, c are known scalars with a≠0. We…

Q: Create three quadratic equations: one having two distinct solutions, one having no real solution,…

A: Consider the quadratic equation x2+x-12=0. The discriminant of this quadratic equation is…

Q: write an equation of a quadratic that in vertex form of (3, 0) and passes through (6, 1)

A:

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 b is whereas…

A:

Q: e and p are the roots of the quadratic equation x2+ 5x– 13 = 0, form a quadratic equation in x whose…

A: Given,            α and β are the roots of the quadratic equation x2 + 5x - 13 =0

Q: Consider two real numbers such that the sum of their squares is no more than 1. How big can the sum…

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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: If the discriminant of a quadratic equation is greater than zero, the roots of the equation are:…

A: The polynomial equation whose highest degree is two is called a quadratic equation. The discriminant…

Q: What is the relationship between factors if a quadratic and the solutions to a quadratic equation?

A: Given : the relationship between factors if a quadratic and the solutions to a quadratic equation

Q: This equation is not quadratic, because it contains a term involving x³. However, we can solve it by…

A: The zeroes of a function in a variable are the values of the variable at which the value of the…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.