Let a, B and y be the roots of the equation 523 + 22 + 3z +4 = 0. Find the values of the following: (a) a? + 32 + 2². a - 1 (b) a +1 В — 1 Y - 1 B+1 7+1

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: Explain why the following five statements ask for the same information.a. Find the roots of ƒ(x) =…

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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: Explain why the following five statements ask for the same infor-mation. a. Find the roots of ƒ(x) =…

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Q: Find all the solutions of + 1z10 + 122 +...+11 = 0 to: Hint: What happens when you multiply the…

A: We will find out the required roots.

Q: If the roots of the equation x - 8x + a² - 6a = distinct, then find all possible values of a.

A: Since the roots of the given equation are real and distinct, We must have…

Q: What are the roots of the equation -90 = x(x - 18) ? %3D A. 9 and -9 B. 9 + 3i and 9 - 3i C. 9 + V3…

A: We can make it easier for you.

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

A: R(y)=12y²+11y-5

Q: If x^4+ax^2+bx+c= 0 has roots x=−1,2,and 3, find the values of a, b,and c, as well as the fourth…

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Q: I Without solving, find the sum and product of the roots of each of the followine equations. 1. 4x…

A: As per the company guidelines we are supposed to answer the first question of first 5…

Q: 4. If A is the set of roots of the equation x³ – 3x + 2 = 0, then A is equal to a) {1; –3; 2} b)…

A: We have to find the roots of the given equation. To find roots of this equation we are going to…

Q: 7. Which of the following most precisely describes the roots of the equation 3x2 + 4x-1 0?

A: We first compare the given equation with ax2+bx+c=0  so, a=3, b=4, c=-1 The discriminant for the…

Q: If r1 and r2 are two real and unequal roots to the auxiliaryequation ar2 + br + c = 0 , then general…

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Q: TVERS Repeated Roots of Auxiliary Equation Find the general solukon of the following: 3. (4D? - 6D…

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Q: 1. Detemine, whether and -v5 are roots of the equation 10a – 5 = 2a3 - a?.

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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 the value of the real number a if -1 – 2i is a root of the equation z² + az +5 =0. What is the…

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Q: 1. Detemine, whether and-5 are roots of the equation 10a –5 = 2a3 - a?.

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Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: Determine the roots of y"" - 3y" - y' + 3y = 0

A: The given differential equation is: y'''-3y''-y'+3y=0   So, we can also write as; D3-3D2-D+3y=0

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: 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: E(x)=x+4x³+2x²+20x–15, and one of the roots is 5 i.

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Q: How many positive real roots are there in the equation 7x²+5x+3x²+x=0? a. 2 b. 0 C 3 a. 144 b.…

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

Q: Find all the roots of z = -4 + (4V3)i giving each root in the form re". %3D 8° = -4+ (43) C

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Q: If the roots of equation x² - 2cx + ab = 0 a the that th of 2 20 41

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Q: Solve for y. y-11y+28=0 If there is more than one solution, separate them with commas. If there is…

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Q: Solve for V. 4y-28v=O If there is more than one Solution, Seperate them with commas. If there is no…

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Q: 13. Find the roots of the equation x+9x+ 18-0. A. 3 or 6 B. 3 or-6 C.-3 or 6 D.-3 or -6

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: Given that 3+2i is a root of the equation x^4-8x^3+30x^2-56x+65=0.Which of the following quadratic…

A: Given: 3+2i  is a root of the equation:  x4-8x3+30x2-56x+65=0

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

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Q: Identify the roots for the equation 5 x 2 + 2 x -4. -1+iv19 10 iv19 -1- i/19 -1+ i/19 i/19 -1-i/19…

A: The objective is to identify the roots of the given quadratic equation.

Q: Find the roots of: (D² - 4) (D2)y = 0

A: To find the roots of the given equation D2-4(D-2)y=0

Q: 1, Without solving, find the sum and product of the roots of each of the following equations. 1.…

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Q: 1. What are the roots of the equation (x + 1)(4x – 3) = 0? C) x= 1, - D) x= 1 A) x = -1,3 B) x= -1,

A: (x+1)(4x-3)=0⇒(x+1)=0 or (4x-3)=0⇒x=-1 or 4x=3⇒x=-1 or x=34⇒x=-1 ,34

Q: Let A and B be real numbers such that a root of the equation z ^ 3 + Az ^ 2 + Bz + 26 = 0 is 1 + i.…

A: First of all, as coefficients A and B are real, we know that, if z ∈ C is a root of an equation,…

Q: 4. Which of the qundratic equation has no real roots? 1. x*+ 3x - 10 -0 5 Whnt is the nature of…

A: The equation ax2 +bx+c= 0 has real roots if b2 -4ac=0

Q: Use mátrix methods on your CA'S calculator to solve the simultaneous equations: 7x - 2y = 31 9x - 4y…

A: As per the question we are given the system of equations as : 7x - 2y = 31 9x - 4y = 47 And we have…

Q: If a and B are the roots of equation 2x² - 35x +2=0, then the value of (2a-35)² (2b -35)² is- (A) 2…

A: Given Data: Equation: 2x2-35x+2=0 ......(1) Expression: (2a-35)² (2b -35)² ......(2) There are two…

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: Let Z -[₁ 2i -2+i -3i 3-2-1-i] 2+1] and -2 1-4 and W-1+34 2-3. Then, solve fo

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Q: 2. Given that x4 −2x3 −7x2 +8x+12 = 0 has the roots −1 and 2, find the quadratic equation whose…

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Q: The real roots of the equation 7o97(«²-4x+5) = x-1 are-

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Q: Find all roots: 4- V-7+24i

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Q: Q.No.3 Find the roots of the equation and also verify your answers. 2x-3x²+1-0

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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: . Given that z = 1 is a root, find the other two roots of 2z3 −z2 +3z−4=0

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Q: If the auxiliary roots of a certain HLDE with constant coefficients are 2, -3, and -3, then the…

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