If 7, and r, are the roots of equationx -2x+4=0, then find r.

Q: If -5 is a root of the quadratic equation 2x2+px-15 = 0 and the quadratic equation p(x2+x)+k=0 has…

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Q: If 4x -100 = 0, the roots of the equation are (1) -25 and 25 (2) -25,only (3) -5 and 5 (4) -5 only…

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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: If the roots of an equation are m=1 and m=-2, find the quadratic equation

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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: Verify 1 and 3/2 are the roots of the equation 2x2-5x+3=0

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Q: Construct an equation whose roots are lees than 4 of the roots of x^3+3x^2-12x-10=0

A: Answer

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

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Q: Find the roots of the algebraic equation x + 10x² + 41x + 50 =

A: Given, the equation                             x3+10x2+41x+50=0

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 -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: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: The algebra teacher wrote on a blackboard a quadratic equation of the form x2- Ax + B = 0. In…

A: Solution of the problem as follows

Q: Determine the roots of each equation. 7. 2x* – 3x³ – 3x+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: Find the  roots of the following equation x^2-2x=10

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Q: Find all integer roots of the following equation: x4 – 2x3 – 21x? + 22x + 40 = 0. - -

A: The given equation is x4-2x3-21x2+22x+40=0.

Q: Use the guadratic formula to solve for x. 7x+3x-2 0 (If there is more than one solution, separate…

A: Using Quadratic Formula to find value of x.

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 4.x2 100 = 0, the roots of the equation are %3D A +25 B-25, only C +5 D-5, only

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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: 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: Find the roots of the given equation 2x2+3x+2=0

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Q: find the value of k if -5 is one of the roots of the quadratic equation x^2 - KX + 10 = 0​

A: We have to find the value of k if -5 is one of the roots of the quadratic equation x2 - kx + 10 = 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: Determine the roots of the auxiliary equation of 3

A: Given,            y'''+3y''-4y'-12y=0

Q: Determine roots of the following equation: 4x3 + 12x2 - 14x - 34 = 0

A: Here Our Aim is to determine the roots of the following equation:-4x3+12x2-14x-34=0 -(i)Since,…

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

A: Given that if the sum of the roots of the equation                   1x+a+1x+b=1c, is zero. To prove…

Q: Find the roots of -x3 + 9x2 -18x = 0

A: Solution: The objective is to find the roots of the given equation

Q: Find all the roots of the equation. 4x* - 24x +57x? +18x-45 = 0 if one root is 3 +i6.

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Q: a. Roots at x = 3 and x = -1

A: SOLUTION-

Q: If x=2 is a zero, what are the other zeros for the equation.

A: The given problem is solved below in detail.

Q: The equation x3 + 5x2 + 6x + 1 = 0 has one positive real root.Determine whether the statement is…

A: Concept: A branch of mathematics which deals with symbols and the rules for manipulating those…

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 +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: The roots, to the nearest hundredth, of y-7.2x-33. lx+ 18.3 are

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Q: Find all the roots of the equation (3z-1)^4+(z-2)^4=0 in the simplified form a+ib

A: Given equation, (3z-1)4+(z-2)4=0 Expand this equation,…

Q: Without solving for the roots, determine the sum and product of the roots of the folle еquations.…

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Q: If a # B and o² = 5a - 3 and ß² = 5ß - 3, find the equation whose roots are alß and pla.

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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: Find the range in which the roots of the equation 3x^5-15x^3+4x-4=0 lie.?

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Q: Find the equations with the following pairs of roots. 1. {2, 3} 2. {-3, 1} 3. {4, -2}

A: Use sum of roots and product of roots in the general equation. General equation, x2-(sum of roots)…

Q: for the roots of each equation. 55. 2r-5x² + 6 = 0 56. 2r3 - x2 - 5x + 3 = 57. 4x + 8x2 - 11x 15 = 0

A: We have to used rational zeroes throem

Q: Verify 1 and 3 2 are the roots of the equation 2x“ – 5x + 3 = 0

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Q: Solve for x. (x-4)2 = 2x2 - 9x - 14  if there is more than one solution, separate them with commas.

A: To solve the given equation.

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.