Which of the following quadratic equations has the sum of product of the roots to be 4 and 7, respectively? x2– 4x+7=0 x2– 2x + 8=0 x² – 5x + 10=0 D x2– 10x + 15=0

Q: Q:Solve the following quadratic equations by factorization method: 4 (i) --3 = 5 -x=0,- 2x+3 -3

A: From the given problem:   4x-3=52x+3x   So,…

Q: For which equation does the sum of the roots equal – and the product of the roots equal – 2? O 9x² +…

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Q: Find the roots of each of the following quadratic equations. 1. x^2 - 12x + 20 = 0 2. 3x^2 +…

A: We have to find the roots of the equations.

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: Find the roots of each of the following quadratic equations. 1. 4x^2 + 12x - 16 = 0 2. 2x^2 + 17x +…

A: We need to find roots.

Q: B. Determine whether each of the following is a quadratic equation or not. 1. 2x²+ 6x = 5 %3D 2. 4x?…

A: Given

Q: Which of the following quadratic equations has solutions -4 and 5? A x2 - x-20 = 0 %3D В x2 + x – 20…

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Q: Solve the following quadratic equation using any method to 1. x2- 10x + 25 6. 2x2 - x = 4 2. 2x2 +…

A: The quadratic equations are1. x2-10x+25=02. 2x2+5x-3=03. y2+4y=32 Note:   multiple questions are…

Q: If -5 is a root of the quadratic equation 2x^2 +px-15=0o and the quadratic equation P(x^2 +x)+K=0…

A: GIVEN: 2x2 + px - 15 = 0              Root of this equation is -5

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: Determine the nature of the roots of the following equations: (a) 3x + 5x + 4 = 0 (c) x-8x + 16 = 0…

A: For a quadratic equation in the standard form  ax2+bx+c=0. first calculate the determinant D =…

Q: Which of the following quadratic equations is in standard form? (a) x - 7x = 5 (c) (x + 5)(x – 4) =…

A: A polynomial is basically a function, which can either be quadratic, cubic, and so on in which the…

Q: Given that each of the following quadratic equations has no real roots, find the Pange of kx² - 4x +…

A: General form of quadratic equation:ax2+bx+c=0Quadratic Formula:x=-b±b2-4ac2ab2-4ac=0    one real…

Q: Find the roots of the given Quadratic Equations. 1. x^2 - 6 = 0 2. x^2 - 14 = 0 3. (x + 6)^2 - 24 =…

A: We will use factoring method  and discriminant to find roots

Q: Find the roots of the given Quadratic Equations. 1. x2 - 12 = 0 2. x2 - 16 = 0 3. (x + 3)2 - 20 = 0

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Q: Find the roots of following quadratic equation a + = 0 3 O # = -1± v13 + V13 6 O # = 1 + V13 O 2 =…

A: To determine: Roots of the given equation. Concept: Roots of a quadratic equation in the form…

Q: 1. Determine which of the following are Quadratic Equations. Select ALL that apply. a. -x2 +4x-3 b.…

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

A: If the discriminant is greater than zero, this means that the quadratic equation has two real,…

Q: 1. Solve the following quadratic equations by factoring. f. 3x 13x + 10

A: Given 3x2=13x+10

Q: Which quadratic equation has roots -2 and a. r + 4x +4 = 0 b. 5x2 + 9x - 2 = 0 c. 5x2 -9x 2 0 d. 5x2…

A: Given Roots are x=-2 and x=15

Q: & and ß are the roots of a quadratic equation such that a + B = 2 and aß =. The value 3. *of a' + B?…

A: we have to find the following

Q: 1. Which of the following quadratic equations has solutions-4 and 5? A x2- a-20 = 0 %3D B r2 + x 20…

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Q: The sum of the roots of 2x+10x² -4x+5=0 is 5 0 .a O None of these b o -5°C 0 d o

A: Given,          The equation is 2x4+10x2-4x+5=0.

Q: 2. t C .) x-L +さ-2= 2 2- %3D

A:

Q: solve the following quadratic equation by factorization 2x 1 3x + 9 + 2а + 3 = 0 (и — 3)(2а + 3) -

A: The given expression is,2xx-3+12x+3+3x+9(x-3)(2x+3)=0

Q: Solve the following quadratic equation for all values of x in simplest form. (x + 7)2 – 23 = 34 %3D…

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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: When the quadratic equation (x + 5) (2x - 3) = 2(x + 1) is written in standard form, what are the…

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

Q: The solutions of the quadratic equation z2+2x +7 0 are -2+iv24 2 2+iv24 4. O -2+iv38 2 O -7+iv24 2…

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Q: 1. Solve the following quadratic equations by factoring. doidw g. (x+1)(x + 3) = -1 h. x(x + 2) =…

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Q: Find all solutions to each quadratic equation. 21.2x2 3x + 7 = 0 22. 4x – 5x + 6 = 0 - 23. x(x – 3)+…

A: As per Bartlebys expert answering policy, we can answer only one question with a maximum of three…

Q: Which of the following mathematical equations could be transformed to quadratic form? * 6. x = 0 1 y…

A: We will find out the required solution.

Q: Find the solution set for the equation by using the quadratic formula. 44. x2 + 4x = 2 Choices for…

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the quadratic formula to solve forx. 5x+5x-1 0 (If there is more than one solution, separate…

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Q: 4. For each of the following quadratic equations rearrange into the form ax? + bx + c = 0 and state…

A: Any equation of form is a quadratic equation as the highest exponent of a variable is 2.  The…

Q: Solve for the discriminant of the following quadratic equation and determine the nature of its roots…

A: 1.3x2-6x=52. 36-12x+x2=0

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: Which of the following are the approximate solutions of the quadratic equation 3x2 + 20x + 32 = 0?…

A: For the quadratic equation ax2+bx+c=0, the roots are given by the equation x=-b±b2-4ac2a Here…

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: Use the Quadratic formula to find TWO solutions to 2x2+ 3x – 10 =0. sSelect them from the choices…

A: Solution:

Q: The solutions of the quadratic equation x? + 4x +7 = 0 are -4+iv19 -7tiv12 2 -4tiv12 4 -4+iv26 2…

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Q: Place the following equation into quadratic form. -6 = -3(x + 10)2 %3D O 0 = -3x2 – 294 O 0 = -3x –…

A: A quadratic equation is a equation of the form  ax2+bx+c=0

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: it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation…

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Q: Which of the following quadratic equations has one real solution/ 1. 4x^2=3x-8 2.  10x=2-x^2 3.…

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Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

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Q: The solutions of the quadratic equation x + 3x + 9 = 0 are O -3+iv36 2 -3+iv27 2 O -3+iv27 4 O…

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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

Q: Solve the following quadratic equations by factoring 1. x? – 3x + 2 = 0 II. 2. 2x? – 98 = 0 3. х2 —…

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Q: Which of the following quadratics has imaginary roots? (1) x² +3x – 5 = 0 (3) 2x² – 3x+1=0 (2) x²…

A: For a quadratic equation: ax2+bx+c=0, the discriminant is calculated using the formula: D=b2-4ac.…