Which of these equations has two real roots: Select one: O a. x2-4x + 4 =0 O b. x2 - 10x + 100 = 0 O c. x2-x + 5 =0 Od. x2-4x + 3 =0

Q: Given that a, B and y are the roots of the equation 423 – 522 + 3z + 11 = 0. a3 Without finding a, B…

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Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

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

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Q: For which values of xo and yo are we guaranteed one and only one solution?

A: Given: y'=-y-4+1x-8 Note that if y=y0=4 then y-4=0. For all other values of y0 given in the options,…

Q: Which value would make the following equation have infinitely many solutions? 3-2x(1 - 2) = ?x+6 - 3…

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Q: If 1/2 is a root of the equation x2+kx-(5/4) = 0 , then find the value of k

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Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

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

A: Since you have asked multiple subparts, we will solve the first three question for you. . If you…

Q: How many positive real roots are there in the equation 7x+5x+3x³+x=0? a. 2 b. 0 c. 3 d. 1

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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 а с

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Q: If r; and r, are the roots of equation x² – 2x+4 =0, then find Er .

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Q: Which of the following best describes the roots of the equation xr² +6x+4 = 0? (1) they are unequal…

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Q: Which of the following equations has both 2 and -4 as solutions? O a.x2+6x + 8 = 0 O b. x2-2x-8 = 0…

A: If b  is a solution of the polynomial p(x) then (x-b) is a factor of p(x).

Q: Which of the following equations have the correct solution? Select all that apply. 2x + 5 = 19; x =…

A: Substitution property of Equality:     If the values of two quantities are known to be equal, you…

Q: If (2+3) is one of the roots of the equation x² + (α-ix+bi=o find the valus of a b

A: given  one of the root of the equation x2+(a-i)x+bi=0 is 2+3i we have to find the value of a, b…

Q: Find all the values of m such that the equation mx² – 2 (m + 2) x + m + 2 = 0 has two real roots

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Q: Use the discriminant to determine all values of k which would result in the the equation 3x + kx +…

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Q: Which of these equations has two real roots: Select one: O a x2 - 4x + 4 =0 O b. x2 - 10x + 100 = 0…

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Q: Which equation has roots of -3 and 5? A. x+2x-15 B. -2r - 15 = 0 | C. x+2x + 15 0 D. r-2r + 15 0

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

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Q: For which values of k will the equation ×^2-5×-k=0 have equal roots

A: Consider the given equation. x2-5x-k=0 For the equal the root of the equation, the discriminant will…

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

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

Q: Solve the given equation for x 437 – 5 3x-5 34

A: We are given an  equation 43x-5 = 34 We have to determine x . We find x by taking log on both sides…

Q: If -2 is a root of the equation x² + px - 6 = 0 and the equation x²- px + q = 0 and the equation x²-…

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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: Find the real soulutions of the following equation x^(4)+12x^(3)+10x^(2)-9x+22=0 The solution set…

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Q: find the value of m for which the equation (m+1)x2+2(m+3)x+(m+8)=0 has equal roots

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Q: solve each equation for the indicated variable. x2 + ax + bx + ab = 0 for x

A: given: x2 + ax + bx + ab = 0

Q: Determine the roots of each equation Y= x^2 + 9x + 3 Y = 3x^2 + 24x - 6

A: The objective of the question is determine the roots of the given equations.

Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

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Q: Regardless of what real numbers I substitute for x and y, I will always obtain zero when evaluating…

A: We have given expression 2x2y-2yx2   The result of this expression always zero for any real numbers.…

Q: Let r, r, and r, be the roots of x’ +3x² –5x-4=0, construct the equation whose roots are: 7 (r, +r,…

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Q: Which shows all of the solutions of the equation x 16 %3D 121 4 11 O z = +

A: To find- Solutions of the given equation.

Q: How many and what type of solutions does the following equation have? f(x) = x² - 2x + 18 O no roots

A: We can find the answer as below.

Q: In the equation x +x = 0, one root is equal to -1 O 1/4 O 5 01

A: solution

Q: Q2 Solve the following (Lind x valuel 0/2x-3/=7 /2x-3171 O Answer with true or false @if /2x-51I…

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Q: Which of the following equations produces the largest value of x 33x = 729 92+5 = 27* 2 = 16 42x 8-1…

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Q: Find the value/s of k in the given equation in order to have two distinct real roots: kx2 - 4x + 3 =…

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Q: Identify the roots for the equation 5 x 2 + 2 x = -4. -1+iv19 | 10 iv19

A: Given, 5x²+2x+4= 0 We know that, The standard quadratic equation is given by, ax²+bx+c=0. Here, a=5…

Q: Solve for x. 9x+25 = 30x %3D If there is more than one solution, separate them with commas. If there…

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Q: For what value of a, the equation (a - a - 2)x + (a² - 4)x+a² - 3a+2=0 will have more than two…

A: We need to find the value of a for which equation will have more than 2 solutions and identity.

Q: 6. Choose the correct answer. Which of the following equations has no real roots? O x² + 4x x² + 4x…

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Q: 6. Which of the following are the solutions of the equation 1- -? x²+2x %3D

A: Here we have to find the possible solutions for the given equation. For that we want to solve the…

Q: If AC = 8x – 14 and EC = 2r + 11, solve for x. - В A E C D

A: To find value of x AC=8x-14EC=2x+11

Q: Solve for x given that   x = a/b = b / a/4   where a and b are some given positive real numbers.

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Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve the given equation for x. 8X =0 x² -8x - 6x e - 8x +X e (Use a comma to separate answers.)

A: Given: -6xe-8x+x2e-8x=0

Q: Compute the discriminant. Then determine the number and type of solutions of the given equation. x2…

A: The objective of the question is determine the discriminate , solutions of the given equation and…