Q2 :Given that the equation x² – kx + 8 = 0 where k ER has one of the solutions is %3D x = 2 - j2. find the second solution and the value of k

Q: Зх-1 4x +1 %3D 6. 4

A: Taking LCM and cross multiplication

Q: The equation (x-2)(x-4)%3D0 has. negative roots. а. 3 O b. None of these O c. 1 O d. 2

A:

Q: If x + y = 4 and xy = 2, find x² + y² %3D

A:

Q: 2.) Solve the following equatior

A: Solve the following equation23(x-4)=14(x+1)x=?

Q: n%=D80-16

A: Given n=80-16t^2 We have to solve for t as shown below

Q: XI VGo-2IX =8 60-21X

A: Given,          x-60-21x=8

Q: 2(5x – 1) + 2 = 2x – 4(x – 1) - -

A: Use BODMAS rule, BODMAS rule says that first solve Brackets then solve Order (powers) then calculate…

Q: ydx – xdy = (x² – y²)

A: Note: It is assumed that the differential equation is ydx-xdy=x2-y212dx.   It is known that: ∫dxx=ln…

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

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

Q: Solve ry + 5 y = 10a for y(1) = 2

A:

Q: Solve V 3y+1 = 7

A: Here we have given one function 3y+1=7 and we have to solve the given function

Q: Does the equation y = 5csc(2x + T) - 6 include a Vertical Stretch or Compress? Horizontal Stretch or…

A:

Q: 8х — бу — 36 %3D -2х + бу3D0

A: intersection point of two lines

Q: Find the general solution of the difference equation

A:

Q: Solve the equations below for x, if pos 3x-1 a. %3D 4. 11 b. 6 – 5(2x – 3) = 4x + 7 %3D 3x c. + 2 =…

A: The general rules for solving equations for x are: i) simplification of each sides of the equation…

Q: Solve for X and y (-3 8 L5yt10 6 2x+5 8 %3D

A: We need to solve for x and y. So,

Q: B. If AC = x + 11, and AB = 24 solve for x. %3D

A:

Q: Solve the rational equation: 8. 3. 3x + 22 | X - 2 x + 1 х - х-2

A: The objective is to solve the rational equation.

Q: What is general solution of y" + 9y" = 0. %3D

A: Given the differential equation is y"' + 9y" = 0 Here the auxiliary equation is m3 + 9m2 = 0

Q: Solve for X in the equation, where -3 2 5 2 1-4 A = and B -5 4 2 4 4 2X = 2A - B %3D

A:

Q: Solve for x: 2x? + 26x + 80 = 0 O x= -8, -5 O x = - 5, 5 O x = - 16, -25 Ох326, 80

A: option first is correct  see below the answer and calculation

Q: ZPSR (9x- 3) (4x - 12)° Q.

A:

Q: -0,4x Y=12000- 25000e メ=? \f Y=0 %3D

A: For the given equation if y =o the x =?

Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: Solve for x in 7-3x=2x-3

A: We need to solve for x in 7-3x=2x-3. The solution is given below.

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

A:

Q: Solve by the method of successive approximat ion

A:

Q: rewrite y= %3D

A: To rewrite x in terms of y

Q: 3.) Solve F = 2C+ 32 for C %3D

A: Given :F=95C+32

Q: Solve the equation y" – 8y' + 16y =t-te*.

A:

Q: 4. 2(x + 4) = - 4 5. -3( x + 4) = 15 6. 4(2х + 3) + х%3D69 7. 2x + 3x + 6 = 31

A:

Q: Solve algebraically forx, and y a. x2+ y2 25 x+y= 1 b. y2-x2 16 3x + 5y 16 %3D

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Q: K. L. N LP = x+5 PN = 2x-2 %3D

A:

Q: Solve i + 25 x = 1 subject to x(0) = 10 and i (0) = 0. %3D %3D

A: Given DE is x"+25x=1 and conditions are x(0)=10 ,x’(0)=0 let’s solve the equation by finding C.F.…

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.