find a real root of equations following: 1- x³+x-5=0 2- x³+x-1=0, X°=1 3- x³+4x-2=0, ɛ =0.0001

Q: The equation  x^2+px+q=0 is given. Find parameters p  and q such that the difference of roots of the…

A: Given equation: x2+px+q=0 Let α and β are the roots of the equation. α+β=-p1=-p α·β=q1=q

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: -3X1 + 9X2 + X3 = 6

A: Given,        -3X1+9X2+X3=6       5X1-4X2+15X3=9            4X1-X2+2X3=15

Q: Find the root of the equation 3x - 4x +10 =0 using Regular-Falsi method correct to 3 D.

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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: a. x² +8x-3 = 0 Find the equation with following roots: -4+2i6

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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: Solve for the root using Bisection, Newton Raphson, and Secant Method x³ 2x 5 = 0 -

A: Let us consider the function f(x). The roots of the function using the bisection method is obtained…

Q: Solve the following equation iz + 2i = 4

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Q: I. Solve using De Moivre's Theorem. Find all fourth roots of xt = -256

A: According to the given information, it is required to find all the solutions to the equation using…

Q: Find the real roots (One only) of following equation use Newton- .Raphson method x³ - 1.2x² + 2x -…

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Q: Determine the number of real roots for thsi equation -x squared -5x +14= 0

A: The equation has two real roots which are 2 and -7

Q: What is the positive root of the equation: (2x+1) %3D 3 4. (Write your answer correct to 2 decimal…

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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 exact solutions for x - 5x + 3 = 0. Then use a calculator to approximate these solutions…

A: Given quadratic equation is: x^2 - 5x + 3 = 0 ................. (1) We will solve this equation (1)…

Q: If 7, r, and r, are the roots of equation x-2x+3=0, then findErr,. إختر أحد الخيارات: -2 a O .b O…

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Q: [π, 3π]

A: The given equation is2 sin2x-3sinx+1=0 ---(1)⇒2(2 sinx.cosx)-3sinx+1=0  (trignometrical formula 2…

Q: Question 9 Determine the indicated root and solve as indicated and round to 2 decimal places if…

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Q: Find a root of the equation correct to 3 decimal places: x³-9x+1=0.

A: Use bisection method: Given a function f(x), continuous on an interval [a, b]: Find points a and b…

Q: Find the solutions of the equation that are in the interval [0, 2π).

A: Solution: Consider the given equation: sec 2x csc 2x = 2 csc 2xwe have sec x = 1cos x and csc x =…

Q: Find an approximation of a root with a relative error below 10 of the following equation 2.7x4 +…

A: To find -

Q: The product of the roots of equation 3x +9x-12=0 is إختر أحد الخيارات: -4 .a O .b O None of these cO…

A: Equation : 3x2 + 9x - 12 =0

Q: Find the roots of z = v5 – 6i %3D -

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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 a solution of the equation 8 +÷= In x. (10 digits, any method)

A: Solve the equation, 8+1x=ln x graphically. First plot the graph of y=8+1x . Then, plot the graph of…

Q: For what values of the parameter a does the equation x + 2ax³ + x² + 2ax+1=0 have at least two…

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Q: x^6+10*x^5+35*x^4+315*x^3+12*x^2-140*x+2.5 then insert a table to draw the graph of the previous…

A: Given equation ; x6+10x5+35x4+315x3+12x2-140x+2.5=0

Q: Find all solutions to the following equations: (a) 5x° – 26x* + 35.x* + 14x² – 44x +8 = 0, given…

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Q: Find a real root of the equation x³ – 2x – 5 = 0 correct to six significant digits and then…

A: Absolute error: Subtract the approximated from real value, gives us absolute error. Relative error:…

Q: If Zc and Zy are supplementary and Zc = 104°, solve for y. Write your answer in %3D degrees.

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Q: Find a solution of the equation 8 + = In x. (10 digits, any method)

A: Here we have to find the solution of the equation;  8+1x=ln(x) by any method.

Q: Find all solutions for cach equation in the interval (0", 360"). 31. 4cose-2/3= 0

A: Trigonometric ratios

Q: Calculate the discriminant for the following equation and describe the nature of its roots…

A: Given equation -4X^2+11x+20 = 0 Compare it with general form of a quadratic equation ax2+bx+c=0 We…

Q: If Zy and Le are supplementary and Zy= 60', solve forc. Write your answer in 1590రap

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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: Show that the equation has exactly one real root. x° + e* = 0 3

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Q: Find all solutions of the equation and express them in the form a + bi.

A: Given: 70. t+3+3t=0

Q: 1 = + 3 3 Vx 3 y x

A: Given 1 = 23(x)1/3+ 13(x)2/3 Let's assume  t = x1/3   then t2 = x2/3  Substituting the values in the…

Q: 2-find the roots (three only) of the following equation , using simple Iteration method e - 3x = 0…

A: Consider the provided question, Given equation,  ex-3x2=0 Let  fx=ex-3x2 W need to find the roots of…

Q: Given that k#1 and the roots of the equation z' = k are à, B (x-2) and Y, use the substitution z =…

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Q: By sketching two graphs on the same axes, show that the equation x³ + x + 5 = 0 has only one real…

A: Note :  Since, you have asked multiple questions we are providing solution to only the first…

Q: 3 cot0-1 0

A: This question is based on trigonometric ratio of right angled triangle.

Q: List the solutions of the equation: 0 = 4.x 12x + 18 Your answers must be in exact form, do not give…

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

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Q: Given the equation y = z² – 2z + 1, determine how many roots there will be.

A: Roots of a equation are the values of x for which f(x)=0.

Q: Complete the table below. Show your solutions. Equation 1. x2 + 5x +4 = 0 2. 2x2 + x-21 = 0 3.4x2 +…

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Q: Verify that the x-values are solutions of the equation. 3 sec x - 6 = 0 %3D

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Q: Find the roots of the following equation: 2x3 – 13x? – 22x + 3 = 0 by Newton-Raphson method.

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