The roots of a quadratic equation are imaginary. Which of the following statement is true about the discriminant of equation? A. The discriminant is negative. B. The discriminant is equal to zero. C. The discriminant is positive and a perfect square. D. The discriminant is positive and not perfect square. A O D

Q: Provided that the roots of a quadratic equation, 12x? – 24x – 65 = 115, are a and b, respectively.…

A: The given quadratic equation is 12x2-24x-65=115

Q: Given a, b, andc are real numbers and a + 0, which of the following is the standard form of…

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Q: Solve the following for x by completing the square. Must show all work  a) 4x2-5x-6=0 b) x2-11x=60

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Q: Use the quadratic formula to find the roots following quadratic: y = x² + 4x +5

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Q: Given the equation  5x2 = 6x + 18 determine : Draw a neat sketch of the quadratic

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Q: Determine the number of roots that each of the following quadratic relations has. (hint: DO NOT…

A: We have to check

Q: Verify that the quadratic form ax? +bxy +cy²is the same as - [x y]

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Q: The roots of a quadratic equation are 2 and 5.Which of the following statement is true about the…

A: We will find out the required value.

Q: Find the value of the discriminant and determine the number of real number solutions of the…

A: discriminant = b2 -4ac here b =6        a =3        c =3 so discriminant = b2 -4ac discriminant = 62…

Q: Given that a+1 and ß+1 are roots of the quadratic equation 2x -bx-2=0, and that the two roots are…

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Q: Which of the following equations is a quadratic equation? O 2x° = (2x2 – 1) (3x + 4) %3D O 14x (x…

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Q: Two Grade 11 Mathematics teachers used the following learning activities to present their lessons.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The coefficients of a, b, and c in the quadratic equation are a = 2, b 2, c = -4: 2x2 + 3x- 4 0 O…

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Q: Which of the following quadratic equations will obtain 2 rational roots? A. 2x2 +11x + 12 = 0 B. 4x2…

A: To find which of the following quadratic equations will obtain 2 rational roots

Q: What are the zeros of the following quadratic equation? y= x + x-12 O x= -3, 4 O x= 4 X = -3 Ox-…

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Q: Given that a+1 and ß+1 are roots of the quadratic equation 2x* – bx-2 = 0 , and that the two roots…

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Q: The discriminant of a quadratic equation is 34. Which of the following is true about its roots? A.…

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Q: If the standard form of quadratic equation is; axt + bx + c =0,then values of a, b, and c in the…

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Q: If the roots of the equation a(b – c)x² + b(c – a)x + c (a – b)=0 2 1.1 are equal, show that b а с a

A: Here we will show that 2b=1a+1c

Q: essment will be suboaitted and you will not receve credit for unanswered ons 1. Which of the…

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Q: Complete the square and use the result to derive the quadratic formula for the roots of ax2 + bx + c…

A: Given equation is ax2+bx+c=0. To complete the square and derive the quadratic formula. Solution:…

Q: Is √Ax²+Bx+C still a quadratic? Providing that there is a square root in the equation.

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Q: 2a) would removing get from the resulant quadratic, equations roving get from the resulant…

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Q: Use the values of a, b and c of each of the following quadratic equations in determining the sum and…

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Q: Verify that the quadratic form ax2 +bxy +cy?is the same as b a 2 || x | [x y] b y 1/27

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Q: e axis of symmetry of the following quadratic equation?

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Q: Identify the "c" value of the following quadratic equation given below. -8 = 2 (x + 9)2 O 85 170 О 6…

A: Given quadratic equation is

Q: Consider the quadratic equation shown in the box. y = x² + 5x + 6 What is (are) the coefficient(s)…

A: Given: y=x2+5x+6

Q: Use the daiscriminant to determine whether the quadratic equation has two equal real number…

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

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Q: 13. Which of the following equation is not a quadratic equation? a. 3x? + 4x - 7 = 0 c. 2x2 + x-6 0…

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Q: Find the value of m so that the quadratic equation mx (x-7)+49 = 0 has two equal roots

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Q: Find the roots of the given Quadratic Equations. 1. x^2 = 10 2. x^2 = 25

A: Given:  1)x2=102)x2=25 To find: The roots of the given Quadratic Equations.

Q: Find the value of k so that the quadratic equation 4x2 + kx + 25 = 0 has equal roots. Select one: О…

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Q: Which of the following quadratic equation has the solutions below: Zeros = 7 or 1

A: a2-8a+7=0a2-7a-a+7=0a(a-7)-1(a-7)=0(a-1)(a-7)=0a=1, 7

Q: If a and B are the roots of the quadratic equation -x+6x - 4 = 0, find the values of the following…

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Q: e) Prove that the quadratic equation A? – 3A = -21 holds true for 5 -6 -6 A = -1 4 2 3 -6 -4.

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Q: For each of the following quadratic equations, determine the number and the nature of the roots by…

A: If quadratic equation is ax2+bx+c then quadratic discriminant is b2-4ac If b2-4ac =0 then quadratic…

Q: The equation 2x - 3x + 1 = 0 is in quadratic form. O True O False

A: True or false

Q: If the roots of the quadratic equation px² – qx –r = 0 are real, then 7. A q? – 4pr 2 0 B q? + 4pr >…

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Q: The coefficients of a, b, and c in the following quadratic equation are a = -8, b = 10, c = -3: %3D…

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Q: Given the following pattern, what is the quadratic equation? 1 3 Pattern A: O A. 4x2 + x о в. х2 + 4…

A: We have, the given pattern as Let us consider that, each pattern number represents x and y…

Q: Which of the following quadratic equations has rational, equal and real roots? A. 9- 6x + x² = 0 B.…

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Q: It is given that a and ß are the roots of the quadratic equation (x – 2)(x – 1) = p. If (2a – 1)(2B…

A: given(x-2)(x-1)=pexpand this expressionx2-3x+2-p=0ax2+bx+c=0if the roots of this equation are α and…

Q: Which of the following equations is a quadratic equation? O 14x (x2 + 1) = 15 O (x2 + 5) (x² - 5x +…

A: topic -  quadratic equation

Q: Provided that the roots of a quadratic equation, 12x^2 - 24x -65 = 115 are a and b respectively.…

A:

Q: Which of the following is not a quadratic equation? (A) x2 – 5x+6= 2x+1 (C) x² – 9x+ 10 = (5-x)x (B)…

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Q: the sum of the roots of the equation 1/(x + a) + 1/(x == 1/c is zero, then prove that the product of…

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Q: Which of the following equations is a quadratic equation? O (x+ 5) (3x2 + 1) = 4 (-x*) O 14x(x+1) =…

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Q: Which of the following quadratic equations has real roots? A. x2 +x +1 = 0 B. 2x2 + 5x + 3 = 0 C.…

A: For real roots discriminant should be greater than Or equal to Zero.  That is, b2 - 4ac>= 0