Amourkenniidn
Answered

Get expert insights and community-driven knowledge on IDNLearn.com. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

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

Sagot :

Panoyinidn
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

#SPJ2

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.