5. Consider the equation x2 + 6x + m = 0. (a) Determine for what value of m the equation will have • two distinct solutions, • exactly one solution, • no real solution. (b) In the case that m = 10, find two solutions in terms of the imagi- nary number i = v-1.

Q: Q5. Solve the difference equation: - Yn+2 2yn+1 + 9yn = 3" Yo=y₁ = 0

A: The characteristic equation is: λ2−2λ+9 Then λ=2(1)−(−2)±(−2)2−4(1)(9)​​=22±−32​​=1±22​i In polar…

Q: Solve the equation by using a u-substitution: x 5 + x5-2=0

A: The given equation is: x25+x15-2=0⇒x152+x15-2=0

Q: 1 X - -y = -12 8- 3 X – -y = -9 4 Step 1 of 4: Rewrite each of the equations without fractions or…

A: The detailed solution is given below Thank you

Q: Consider the equation I1 +2 +13 = 25 where r1, r2, r3 € Z.

A: Consider the given equation: x1+x2+x3=25 His aim is to find the solutions for x1≥0, x2≥-3, x3≥0 and…

Q: X2-3X+3)3/2-1=0 Solve.

A:

Q: (4n8x3)-3 =         How do I solve?

A: For the negative exponent, we can make the reciprocal of the expression.

Q: -2x x+3 = 1 x2–1 1. Solve x-1

A:

Q: Solve Using Gauss-Jordan -2x1 + x₂ + 6x3 = 18 - 5x1 + 0x2 + 8x3 = -16 3x1 + 2x2 - 10x3 = -3 x1: x2:…

A:

Q: 2 A) 1-x- x² = 0 B 1+ x - x² = 0 1- x + x² = 0 1+x+x² = 0 without solving. determine which of the…

A: Topic = Quadratic equations

Q: Solve the following formulas for x: a. 2(4x+12) = 6x + 4y? За b. X-4 36a -b 3x-4 Attach File Browse…

A: Here we solve for xwhere (a) 2 (4x+12) = 6x+4y2            (b) 3ax-4 = 36a-b3x-4

Q: Solve the Equation: x²-12x+39=0 1. (-5, 4) ○ 2. (-7,8} O 3. (8,-4) ○ 4. (6, -5}

A:

Q: 6) Show that 2 + j is a solution to the equation - 5x? + 9x - 5 = 0 by showing that equality holds…

A: Cubic equation

Q: What is the value of x in the equation (4x – 1) – 3x = = - (x + 2)? 1 3 19 16 16 16 X = 3.

A: To find :                  Solve the given equation to find the value of x.

Q: 1 6. (4) Solve: 8x ³ – 17x 3 +2 = 0

A:

Q: Solve 1 0-430 = x (0) = -3, y(0) = 1181-0 = = -5 + 18

A:

Q: 1) Solve the following equation written in the form = G(ax +by). = (2x + y)² + 6(2x + y) + 7

A:

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.