1) 3D1 x 一3

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: (8-4x) x-6 %3D

A: Discriminant of a quadratic equation ax2+bx+c=0 is defined as b2-4ac.  Discriminant tells us about…

Q: Use the quadratic formnula to solve for x. 4x*+8x+1=0

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Q: If x = 2 is one of the roots of P(x) = bx? – 12x + 4, find b.

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

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Q: For the following quadratic equation, find the discriminant. -6x² + 12x + 12 = –7x² – 2 %3D Answer:…

A: ax^2+bx+c=0 Discriminant =b^2-4ac

Q: Find the roots for the quadratic equation x + 6x +9 = 0 A 4 B. 1 F 3 -3 D. -2 H. -1

A: The correct option is G.

Q: Find the formula, in standard form y=ax2+bx+c, for a quadratic that has roots at x = 5 and x= -1,…

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Q: Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x2 –…

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

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

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Q: For the following quadratic equation, find the discriminant. 4x + 107x + 313 = -x² + 7x – 7 ,2

A: Take all terms in right side and then compare it with standard equation

Q: Given the quadratic equation 3x+6=−6x2 A) Determine the value of the discriminant…

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Q: Solve the following quadratic equations by factorization method: x?+x-(a+1)(a+2)=0

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Q: Determine the roots of the following equation via Successive substitution 3x3 – 4x2 + x - 3 = 0

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Q: 1-Find the solution of the following quadratic equation using the general (distinct) equation: x2 +…

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

Q: .2 x9-5x² +5=0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the x-intercepts of the following quadratic equation: 10x - 29x + 10 = 0 Factors of ac that add…

A: We use Middle term splitting / AC method

Q: Find the discriminant of the following quadratic equation, and state the number of real roots that…

A: Discriminant The discriminant of the quadratic equation ax2+bx+c=0 is…

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: Determine the roots of the following quadratic equation, leaving the answer in exact roots. Use the…

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Q: Solve the following quadratic equation by completing the square. If necessary, round to the nearest…

A: Given query is to find the solution of the quadratic.

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: Place the following equation into quadratic form. -8 = 2 (x + 9)² O 0 = 2x2 – 36x + 170 O 0 = 2x² +…

A: The given equation is -8=2(x+9)2

Q: Identify c of the following quadratic equation: +7x -8 %3D

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Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: Find the solutions of the following quadratic equation. x2 – 19x + 90 = 0 -

A: Given a quadratic equation x2-19x+90=0 To solve the equation

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: I. Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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Q: Determine the other root of the given equation x² – 4x – 7 = 0

A: Given  : x2-4x-7=0   To Find : roots of the given equation   Note:If ax2+bx+c=0 is the given…

Q: If the discriminant of a quadratic equation is 0, then the equation has

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Q: By completing the square, dx tegral J_2 x2+4x+5 is equal to=

A: ∫-2-11x2+4x+5dx

Q: x2 - 4ху- 2у2-2 %3D0 4xy to

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Q: Find the formula, in standard form y=ax^2+bx+c, for a quadratic that has roots at x = -7 and x = 9,…

A: our objective is to find  the formula, in standard form y=ax^2+bx+c, for a quadratic that has roots…

Q: Identify the "b" value of the following quadratic equation given below. 6 = (x- 1)2 O 5 O 1 O -5 -2

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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: Determine the exact roots of 0 = x2 – 7x + 7 using the guadratic formula.

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Q: Identify a of the following quadratic equation: y = -3x2 + 9x – 6

A: General form of quadratic equation is given by  Y = aX2 + bX + C. a = coefficint of X2. b =…

Q: Find the x-intercepts of the following quadratic equation: 10x2 - 29x + 10 0 Factors of ac that add…

A: Find the x intercept of the given quadratic equation.

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

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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: Obtain the roots of the following equation by the fixed point method starting at x = 1 and solving…

A: To obtain the root of 4x2-2x-9=0 using fixed point method with x0=1

Q: If a and 3 are the roots of the quadratic 3x2 – 4x + 6 = 0, find the value of

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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: 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: Heron of Alexandria solved the quadratic equation x2 + x + x = 212 by multiplying both sides by 11·…

A: To solve the below quadratic equation by multiplying both sides by 11⋅14. 1114x2+227x+x=212

Q: Solve the following equation by factoring and using the zero product property. x? + 6x 27 %3D -…

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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.