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

Q: How to find the roots of x4-x-1

A: Given : x4-x-1 To find out the roots we graph the given expression  y=x4-x-1 The roots are the x…

Q: Find the roots of  6x2-2x+5=0

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

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Q: Show that there is a root of the equation x3 - x - 1 = 0 between 1 and 2.

A: Consider the given equation. x3-x-1=0 and, fx=x3-x-1 Put x=1 in the function. f1=13-1-1=-1

Q: 8. Use the quadratic formula to determine each of the roots of -7x - 23x = - 10 to two decimal…

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Q: state nature of roots of 2x- 4r + 3= 0

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Q: Construct an equation whose roots are the reciprocal of the roots of 2x +4x -10x-5=0

A: Consider a cubic equation ax3+bx2+cx+d=0 where a≠0 and assuming α,β and γ are roots of equation then…

Q: Find all 4 roots of the equation z4+1=0.

A: Concept:

Q: Find the fourth roots for the equation z4-2z²+4=0

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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: 1. Write the equation to a quintic with double roots -6 and 8, that goes through the origin as well…

A: According to question we have to find the quintic equation with Double roots -6 and 8 and that goes…

Q: 6. 4. x-2 2 4. 2x2 4x 5. X-2 X-2

A: 4. 6x+x-24=25. 2x2x-2+4xx-2=0

Q: 2. Let r, 2 be the roots of the equation 2x-6x+3=0, construct an equation whose roots and are rr3,…

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Q: 4. Form the equation whose roots are the multiplicative inverses of the roots of 3x2 + 10x – 8 = 0.

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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 roots of 6x2-2x+5=0

A: Given : 6x2-2x + 5 = 0

Q: Construct an equation whose roots are less than 4 of the roots of x'+3x –12x-10=0

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Q: What are the 4 roots of z in the equation: z^4=1

A: Given equation is z4=1 To find : roots of the given equation

Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

Q: Identify all real roots of 4x4 + 31x³ - 4x2 - 89x + 22 = 0. %3D

A: We have, the given equation as 4x4+31x3-4x2-89x+22=0

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: What are the roots of the equation ² - 5x 2 0? 5 V17 2 -5 V17 2. (1) x = (3) x = (2) x = 5 33 2 (4)…

A: given,

Q: Find the quadratic equation whose roots are (3-j5) and (2 + j4).

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Q: List the solutions of the equation: 0 = 3x2 – 16x 8 • Your answers must be in exact form, do not…

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Q: Determine the real roots of the equation using bracketing methods (Error≈0.001): f(x) = - 24 + 80x…

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Q: Solve x4 + 16 = 0. Express the roots in rectangular form.

A: Consider the provided equation, x4+16=0  Express the roots in rectangular form.

Q: Determine the roots of the auxiliary equation of 3

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

Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots. I 2x^2 - 5x - 12 = 0…

A: Given;           Roots of the quadratic equation are -4 and 32 Using the given roots, make a…

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: - Find the three roots of 12Z30°

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Q: The sun of the roots of 2x +10x-4=0 is

A: x3+a x2+bx+ c = 0 Then sum or roots of this equation is = -a Compare equation 2x3+10x-4 = 0  Then…

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

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

Q: 4. Determine the roots of the equation x + 2x - 15. x + 2x = 15

A: Here, to determine the roots of the equation: x2+2x=15...(1)

Q: The equation of whose roots are the reciprocal of the roots of 2x² - 3x-5 = 0 is?

A: We know that if α, β are the roots of the equation ax2+bx+c = 0, then the equation with roots 1α, 1β…

Q: Determine the roots of the equation by factoring 3x2 - x - 4 = 0. Verify the roots and be sure to…

A: Given equation is: 3x2-x-4=0

Q: Show that the equation x1000+1000x−1=0 has a root.

A: GIVEN f(x)=x1000+1000x-1

Q: Evaluate all the roots of the equation: z* +1 = 0

A: Given equation is z4+1=0. We have to evaluate the all roots of the given equation. Subtract 1 from…

Q: find the quadratic equation with integral coefficients whose roots are 0 and -7.

A: we have to find the quadratic equation

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: Show that the equation 5x* = 7x+5 has at most two real roots. %3D

A: To show that the equation 5x4=7x+5 has at most two real roots

Q: Find the roots of z3= -2

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Q: Find the nature of the roots of 3x + 5x+ 9 = 0.

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Q: how was the roots of zeros found for this problem?

A: The zeros/roots of a function are the values of x-coordinates of the points, where the curve: y=f(x)…

Q: Find the exact roots 1/4x² + 3/2 x³ + 1/2x²-9/2x-15/4-0

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Q: What is the first step in finding the three cube roots of -1?

A: We have to find the first step in finding the cube roots of -1.

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

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Q: Find the sum and product of the roots. 1.) x2 - 6x + 18 = 0

A: we have  to determine the sum and product of the roots

Q: Solve x4 + 16 = 0 . Express the roots in rectangular form .

A: The given expression is  x4+16=0  Adding and subtracting 8x2 , we get…

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.