3x squared + 6x =05x squared -20x=0How do I find the roots of each equation by factoring.

1 answer:

6 0

5/4, -3Solve by Factoring 4x² + 7x - 15 = 02, -5Solve by Factoring x² + 3x - 10 = 0(1 ± i√11) / 2Solve using Quadratic Formula x² - x + 3 = 0(7 ± √3) / 2Solve using Quadratic Formula 2x² - 14x + 23 = 00, 2/3Solve by Factoring 6x² - 4x = 025/4Complete the square to find the value of c.
x² - 5x + c16Complete the square to find the value of c.
x² + 8x + c25Complete the square to find the value of c.
x² - 10x + c49/4Complete the square to find the value of c.
x² + 7x + c81/4Complete the square to find the value of c.
x² - 9x + c9Complete the square to find the value of c.
x² + 6x + c121/4Complete the square to find the value of c.
x² - 11x + c81Complete the square to find the value of c.
x² + 18x + c36Complete the square to find the value of c.
x² - 12x + c1Complete the square to find the value of c.
x² + 2x + c¼Complete the square to find the value of c.
x² - x + c100Complete the square to find the value of c.
x² + 20x + c225Complete the square to find the value of c.
x² - 30x + c9/4Complete the square to find the value of c.
x² + 3x + c4Complete the square to find the value of c.
x² - 4x + c121Complete the square to find the value of c.
x² + 22x + c144Complete the square to find the value of c.
x² + 24x + c2500Complete the square to find the value of c.
x² - 100x + c9/64Complete the square to find the value of c.
x² + ¾x + c1/16Complete the square to find the value of c.
x² - ½x + cf(x) = (x + ½)² + ¾Write in vertex form: f(x) = x² + x + 1f(x) = (x - 1)² + 3Write in vertex form: f(x) = 4 + x² - 2x(-5, -28)What are the coordinates of the vertex of f(x) = (x + 5)² - 28?(9, -21)What are the coordinates of the vertex of f(x) = (x - 9)² - 21?f(x) = (x - 8)² - 56Which function in vertex form is equivalent to f(x) = x² + 8 - 16x?f(x) = (x - 3)² + 9Write in vertex form: f(x) = x² - 6x + 18(-3, -13)What are the coordinates of the vertex of the function f(x) = 6x - 4 + x²?f(x) = (x - 3)² - 8Write in vertex form: f(x) = x² - 6x + 1f(x) = (x + 3)² - 6Write in vertex form: f(x) = x² + 6x + 3f(x) = (x + 5)² - 28Write in vertex form: f(x) = x² + 10x - 3f(x) = (x - 9)² - 21Write in vertex form: f(x) = x² - 18x + 600, -4Solve by graphing.0, 4Solve by graphing.±1Solve by graphing.±2Solve by graphing.-3, 1Solve by graphing.no real solutionsSolve by graphing.0Solve by graphing.2

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( x + 2 )^2 - ( y + 2 )^2

GarryVolchara [31]

The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

$a^2-b^2 = (a+b)(a-b)$

So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.

In this case, the squares are obvious: $(x+2)^2$ is the square of $x+2$ , and $(y+2)^2$ is the square of $y+2$