it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation which has the roots α/2 and β/2.

Q: Form the polynomial equation with integral coefficients whose only roots are given. 2,-1,1

A: Given roots are 2,-1,1 Now we have to find the equation of polynomial with

Q: Solve: In(x + 2) – In(4x + 3) = In %3D

A: Given equation is lnx+2-ln4x+3=ln1x.

Q: find the Solution Sesies of equation using abere method.

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Q: how do i solve linear equatins with sbstitutions?

A: We need to answer how to solve a linear equation using substitution.

Q: Determine the root of the equation x3 – e–x  + 4 by two open methods and round-off your answers to 3…

A: The given equation is: fx=x3-e-x+4 Two open methods are: Newton's method Secant method

Q: Explain how to solve difference equations using the iterative method.

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Q: What value of x makes this equation true?

A: the question is taken from the algebra in which we have to find the value of the x so we write the…

Q: How can we illustrate as figure that linear equations such as x-5y+2z=4 have geometrically countless…

A: We will plot the figure for x-5y+2z=4 and the region will show the number of roots.

Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: +(= Sin3x-5x+ 12 %3D

A: MOSS :- Method of Successive Substitution   Given function is fx =sin3x -5x +12

Q: If you are given the roots of a quadratic function, what other information is needed to determine…

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Q: Describe the method of deriving solutions from the model?

A: A solution can be extracted from a model in 2 ways.

Q: How to solve linear Diophanfine equation

A: See the attachment

Q: what are the name of these equations

A: Standard error of the proportion formula

Q: I need detailed solution of last step

A:

Q: State reducible Second-Order Equations?

A: Reducible Second order Equation Second order differential equation is an equation which is…

Q: Usin IVT how do you show this equation has a root. On the interval (0,2)

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Q: Find the explicit solution of the separable equation

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Q: Find two consecutive positives even interfere such the sum of their squares is 52?

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Q: Determine the particular solution of the exact equation.

A: The particular solution of exact equation is  x3y - 3xy + 4y2 - 4 = 0  as explained below :-

Q: How do I find the general solution to this separable equation?

A: Topic - differential Equation We will solve this equation by variable separation method

Q: Due Sun 04/03/2022 11:59 Train A has a speed 30 miles per hour greater than that of train B. If…

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Q: but isnt it 2 distinct roots?

A: The answer is in step 2.

Q: 1.)  A rock dropped into a deep hole will drop d(x) = 16x2 feet in x seconds. (a) How far into the…

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Q: Isin ( 3x²+5x+2)'-

A: Formula used:

Q: if it exact find the general solution of the given equation

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Q: Solve by using gamma funcien. 2.2

A: We find value of Gamma (-2.2)

Q: EXPLAIN SOLUTION OF LINEAR FIRST-ORDER EQUATIONS ?

A: Consider the Linear first order equation: A differentail equation of type:y'+axy=fx,where, ax and fx…

Q: Solve the attached equations  by the method of undeterminedcoefficients.

A: Given- d2ydx2-3dydx=e3x-12x To find- The general equation of the above differential equations.

Q: Find the particular solution of

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Q: Tim Find the first approximation to the root of the equation -2x-5-0using Regular-Falsi method…

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Q: %3D

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Q: The Newton-Raphson method is used to find the roots of the equation: Ax) = x – cosTX ; Osxs1 If the…

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Q: solve this by cartesian product

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Q: If a second-order model has two complex roots with negative real parts, it's free response will…

A: Given that the second order differential equations has two complex roots with negative real parts.…

Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…

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Q: Form the polynomial equation with integral coefficients whose only roots are given. -1,-3,2

A: The roots of the polynomial is:  -1,  -3,  2

Q: Explain theorem of Wronskians of Solutions?

A: To Find : Define the Theorem of Wronskians of solution

Q: Evaluate 3x3 – 2x2 + 4x – 8 - x4 + 4x2

A: Let the given integral be I - I = ∫3x3-2x2+4x-8x4+4x2dx = ∫f(x) dxThen,f(x) = 3x3-2x2+4x-8x4+4x2f(x)…

Q: How Separable Equations are Applied ?

A: A first order differential equation y′=f(x,y) is called a separable equation if the function f(x,y)…

Q: Explain with practical examples on how a particular solution of a different equation can be deduced…

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Q: One year ago, Deon was 15 times as old as Penelope. In 3 years, Deon will be the square of…

A: Let us consider  Deon's Present age as D Penelope's Present age as P 1 year ago, Deon was 15 times…

Q: Find the real root of the equation x^5-x^4-x^3-1=0, Which lies between 1.4 and 1.5. correct to four…

A: The given equation is: x5-x4-x3-1=0

Q: You performed a regression analysis of a set of bibariate data (two variables) and found that the…

A: Condition for best model: The model which having the greatest coefficient of determination value is…

Q: what is the general solution to the equation %3D

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Q: 2. Solve hip 1 -3 y-2 = 1+ In r. dr

A: Given differential equation

Q: Explain the process of extracting roots which are not perfect square

A: We can use Shri Dharacharya method to find the roots of any quadratic equation.

Q: I need help finding all solutions to this equation

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Q: How can we transform non-linear equations.

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Q: Can this be solved via washer method?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.