Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Richie is solving the equation x^2 −12x = 28 by completing the square. What number should he add to both sides of the equation to complete the square? A) 6 B) 12 C) 36 D) 64

Sagot :

Given,

The equation is, x^2-12x=28.

Comapring the given equation with

[tex](a-b)^2=a^2-2ab+b^2[/tex]

On comapring it obtains that,

[tex]\begin{gathered} a^2=x^2 \\ a=x\ldots\text{.}(1) \end{gathered}[/tex]

Similarly,

[tex]\begin{gathered} -2ab=-12x \\ -2\times x\times b=-12x \\ b=\frac{-12x}{-2x} \\ b=6 \end{gathered}[/tex]

Now,

[tex]b^2=6\times6=36[/tex]

Hence, 36 is added to both sides to make the equation complete square.

Hence, option d is correct

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.