1. What must be added to x2 + 36 to make it perfect square trinomial? a. 12x b. 3x C. 6x d. x 2. What is the value of c makes 25x2 - 30xy + ca perfect square a. 9 b. 9y² c. y² d. Sy 3. The area of a square is (25a2x2 - 30axy +9y2) square units. How long is its side? a. (5ax + 3y) units b. (5ax - 3y) units c. (5x - 3ay) units d. (5a²x - 3Perfect Square Trinomial Calculator online with solution and steps. Detailed step by step solutions to your Perfect Square Trinomial problems online with our math solver and calculator. Solved exercises of Perfect Square Trinomial.Which value must be added to the expression x2 + x to make it a perfect-square trinomial? 1 4. 1/4. Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial? 8 32 64 256. 64. What are the solutions of x2+6x. D. solve for x in the equation x2-4x-9=29. A.c = 121 Which gives x^2 +22x+121 =(x+11)^2 This is a process called 'Completing the Square' and does exactly what the name implies... To complete means to add what is missing You are trying to create a perfect square, in this case the square of a binomial. In 1x^2 + color(red)(b)x + c," " if this is a perfect square there is always a specific relationship between b and c....For a more general perfect square rule, you get the coefficient of the x term (in this case, it's 2.) Divide that by 2, because you have to have the same constant-term within your brackets. You can then use bracket expansion to get the last term.
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Well, the first term, x 2, is the square of x.The third term, 25, is the square of 5.Multiplying these two, I get 5x.. Multiplying this expression by 2, I get 10x.This is what I'm needing to match, in order for the quadratic to fit the pattern of a perfect-square trinomial.NEXT: https://www.youtube.com/watch?v=8jp5-22bg3A&list=PLJ-ma5dJyAqoukfE8jv4L4PiyiKbRgi10CORRECTION: For the first trinomial k = -12 and 12Both should have b...Tag: which value must be added to the expression x2 - 3x to make it a perfect-square trinomial? Perfect Square Trinomial Formula admin — September 19, 2019Question: Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial? 8 32 64 256
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Perfect Square Trinomial Formula. Perfect Square Trinomial: There is one "special" factoring type that can actually be done using the usual methods for factoring, but, for whatever reason, many texts and instructors make a big deal of treating this case separately."Perfect square trinomials" are quadratics which are the results of squaring binomials.x^2+2x . To change the expression into a perfect square trinomial add (half the x coefficient)² to each side of the expression. Here x coefficient = 2. so, (half the x coefficient)² = (2/2) 2 = 1. Add 1 to the expression. x^2 + 2x + 1. Simplify the expression (x + 1)^2So, c must be 121 to make the trinomial a perfect square. x2 + 24 x + c 62/87,21 In this trinomial, b = 24. So, c must be 144 to make the trinomial a perfect square. Solve each equation by completing the square. Round to the nearest tenth if necessary. x2 í 2x í 14 = 0 62/87,21 The solutions are about ±2.9 and 4.9. x2 + 3 x + 21 = 22 62/87,21Which value must be added to the expression #x^2 - 3x# to make it a perfect-square trinomial? Algebra. 1 Answer Noah G Jun 9, 2016 Use the discriminant to determine this. Explanation: Consider the quadratic equation #x^2 + 6x + 9 = 0#. What would be the solutions to this equation?Which value must be added to the expression x2 - 3x to make it a perfect-square trinomial? a3/2 b9/4 c6 d9?
Consider the quadratic equation #x^2 + 6x + 9 = 0#. What would be the answers to this equation?
Solve by factoring:
#x^2 + 6x + 9 = 0#
#(x + 3)(x + 3) = 0#
#x = -3 and -3#
There is only one resolution!
Now, recall that a solution to any equation happens when #y = 0#. Therefore, for a regular quadratic equation, for example #0 = x^2 + 6x + 5#, there would be two answers. However, for the example above, there is just one resolution. Why?
Because the vertex (a single level, the lowest point on the parabola) lies on the x axis. Therefore, there'll most effective be one solution.
The discriminant is used to calculate the selection of solutions to a quadratic equation.
The discriminant, for an equation #0 = ax^2 + bx + c#, is #b^2 - 4ac#. When there aren't any answers, the quantity given by means of the discriminant will be lower than 0. When there are two solutions, the number given through the discriminant will be greater than zero. However, if there is however one answer, the quantity given via the discriminant will be 0. Therefore, we will be able to determine the lacking time period for your equation via setting the discriminant to Zero and solving for #c#, or the constant term, which is the one we don't know.
Let the consistent term be #n#.
Then #a =1, b = -3 and c = n#
#b^2 - 4ac = 0#
#(-3)^2 - (Four xx 1 xx n) = 0#
#9 - 4n = 0#
#-4n = -9#
#n = 9/4#
Therefore, the best sq. trinomial is #x^2 - 3x + 9/4#
Hopefully this helps!
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