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Find the equation that is equivalent to the quadratic equation shown. Explain why
x² - 6x - 27 = 0








A.) x(x - 3) = 27
B.) (x - 6)² = 63
C.) (x - 3)² = 36
D.) (x - 3)² = 28



Answer :

Panoyin
x² - 6x - 27 = 0
x = -(-6) +/- √((-6)² - 4(1)(-27))
                        2(1)
x = 6 +/- √(36 + 108)
                   2
x = 6 +/- √(144)
              2
x = 6 +/- 12
            2
x = 3 + 6
x = 3 + 6          x = 3 - 6
x = 9                x = -3 

The quadratic equation x² - 6x - 27 = 0 is equivalent to (x - 3)² = 36. Then the correct option is C.

What is a quadratic equation?

It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.

The quadratic equation is given below.

x² - 6x - 27 = 0

The quadratic equation can be written as

Add 9 on both sides, then we have

x² - 6x + 9 = 9 + 27

      (x - 3)² = 36

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

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