For the equation shown below, complete the following. (a) Write the equation as ax´ + bx + c = 0 with a > 0. (b) Calculate the discriminant b-4ac and determine the number of real solutions. (c) Solve the equation. 5x +3x = 32-9x (a) Write the equation as ax +bx+c=0 with a> 0. = 0 (b) Calculate the discriminant b- 4ac. The discriminant equals Determine the number of real solutions. O 1 real solution O 2 real solutions O No real solutions (c) Solve the equation Select the correct choice below and, if necessary. fill in the answer box to complete your choice O A. x= (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) O B. No real solutions

Q: Solve the equation: 4x + 6x – 2 = 0. Fully simplify all answers, including non-real solutions. -

A: Explanation of the answer is as follows

Q: What is the value of x that would make the equation (27x) 3 = 243 true?

A: Given:          (27x)5/3 = 243         (27x)5/3  = 275/3  Powers are equal on both sides of…

Q: Solve for the equation, show all your work: |3x - 9| = 12

A:

Q: Solve the equation 2x-1= 3x+1 algebraically.

A: The given equation is 2x-1=3x+1. Use the power rule of logarithm to simplify the given equation.

Q: 5x-4y = -12 for x.

A: We solve the given equation for the variable 'x'.

Q: x+1 x+2 3D5 3 7

A:

Q: solve for x the equation 4y = 3x2 + 2x – - 5

A: The given equation,     4y=3x2+2x-5

Q: solve for x the equation 4y 3x2 + 2r - 5

A:

Q: Solve the equation 4x-2 %3D = 9 for x.

A:

Q: Solve for X in the equation, where [ :)- [: 0 5 -4 -5 1 4 = -1 0 1 A = and B = 4 0 3 X%3D ЗА — 2в

A: Here, the given matrices are: A=-514-101, B=05-4403

Q: Write a real-world problem for the equation x + 15 = 37

A: here given equation is  x+15=37

Q: Find the real solutions, if any, of the equation 3x2 - 5x + 1 = 0.

A: Given quadratic equation,3x2-5x+1=0

Q: Solve the equation. " 9x + 12 -15 %3D -3 B 2 D - 3. A,

A: 9x+12=-15 x=?

Q: Solve for X in the equation, where -4 1 4 A = -5 0 4 0 2 -3 and B = 2 0 4 5A = 6B - 3X X =

A: Given :

Q: Solve the following equations 3x+5 a). X-4 20 b). x2-4x+7 = x+ 2

A: Solution:-

Q: solve the equation fo x. 5x=(3x-2)(m+4)

A:

Q: Solve the equation algebracially and graphically: 5 - 3x = 8x - 20

A: Solve the equation algebraically and graphically: 5 - 3x = 8x - 20 Solving algebraically:…

Q: Solve the equation graphically. x4 - 9x2 = x - 9

A: If we are actually solving this problem with graph only we will need graphing software. which will…

Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: The discriminant D, of a quadratic equation of the form ax2+bx+c=0 is given by, D=b2-4ac The…

Q: Solve the equation using the method of your choic x2 + 2x = 6

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: b) The archers from one of the guard towers can fire an arrow along the path represented by the…

A: Let the distance between towers be y and other two distances be x and x-83 . According to question,…

Q: Solve the equation both algebracially and graphically. 2x5 - 243 = 0

A: Given: 2x5-243=0

Q: For the equation state the value of the discriminant and the number of real solutions 7x^2+12x-1=0

A: Given,

Q: Solve the following equation 3x3 - 15x² +18x=0 Attecb

A: The given equation is 3x3-15x2+18x=0. Now solve the equation. 3x3-15x2+18x=03xx2-5x+6=0 Use the zero…

Q: How would you help someone solve the equation 3/x - 4/x = -1/x ?

A: To show 3x-4x=-1x.

Q: Solve the following equation by making an appropriate substitution. x-2+7x-1-18=0

A:

Q: Find all real solutions of the equation. x2 + 8x - 20 = 0

A: To solve the equation:x2+8x-20=0 Solution: x2+8x-20=0 On simplifying further we get:…

Q: the height of a rocket is given by the equation h=-16t^2+832t. where the height is measured in feet…

A: The height h of the rocket after t seconds is given by

Q: Solve for X in the equation, where -1 5 2 0 1 -5 A = and B = -4 0 1 3 0 3 X = 3A - 2B %3D X =

A:

Q: Find the real solutions of the equation: x + 2√x - 3 = 0

A: Given: x+2x-3=0 To determine: The real solutions of the equation.

Q: For the equation state the value of the discriminant and the number of real solutions 3x^2+5x+5=0

A: Given,

Q: Find all real solutions of the equation, rounded to two decimals. x4 - 8x2 + 2 = 0

A: To find: all real solutions of the equation, rounded to two decimals.  x4 - 8x2 + 2 = 0Let x2=y

Q: solve the equation x^3-3x^2-9x-5=0 given that it has two equal roots

A: The given equation is                               x3-3x2-9x-5=0 Now we solve this for x .…

Q: Solve the equation. |x + 3| = |2x + 1|

A: x+3=2x+1Function:x=xif x≥0-xif x<0

Q: For the given equation, state the value of the discriminant and the number of real solutions…

A:

Q: Solve for X in the equation, where -4 3 1 0 2 -2 A = and B = -3 0 2] 3о 4B = -2x – 2A X =

A: The given problem is related to matrix subtraction and addition. we will use matrix subtraction or…

Q: Solve the equation -2x + 3 = -1 using the table. y -2x +3 y = -1 1 23

A: Given equation: -2x+3=-1 x y=-2x+3 y=-1 0     1     2     3

Q: Solve the equation graphically. x2 - 4x = 2x + 7

A: The roots of an equation are the set of points that satisfies the left hand side of the equation and…

Q: Solve the equation-6 = -9 - 3x for x

A: We have to solve the given equation

Q: Find all real solutions of the equation.

A: Given equation,  x-9-3x=0.   It is simplified as follows: x-9-3x=0 Squaring both sides,…

Q: Solve the following equation: 8x+63-2x+4

A: As per guidelines we can answer only one question at a time. So if you need more answer kindly…

Q: Compute the discriminant of the equation.What does the discriminant indicate about the number and…

A: For ax2+bx+c=0Discriminant, D=b2-4acIf D>0, two real solutionsIf D=0, one real solutionIf D<0,…

Q: Find all real solutions of the equation, rounded to two decimals. x4 = 16 - x3

A: Given equation is, x4=16-x3. The objective is to determine all real solutions of x that satisfy…

Q: Find all real solutions of the equation by completing the square. x2 + x - 3/4 = 0

A: Given x2+x-34=0 To find all real solutions of the equation by completing the square.…

Q: solve the x of this equation: x2-4x-5=0 please help me

A: Please refer the attached image for complete solution.

Q: Solve the equation using the method of your choice. x² + 2x = 6

A:

Q: For the equation, state the value of the discriminant and the number of real solutions  2x^2+3x+4=0

A:

Q: Find all real solutions of the equation.  (x - 2)1/5 = 2

A: Given x-215=2

Q: For the equation state the value of the discriminant and the number of real solutions  9x^2-30x+25=0

A: Given,

Q: When the equation -5.35a? – 2.92x + 2.95 = 0 |3D is solved, the two values of the unknown x are and

A: Given equation :-   -5. 35x2 - 2.92x + 2.95 = 0 (x + 1.06402) (x-0.518225) =0

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.