Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

fill in the blanks so the left side is a perfect square trinomial. That is, complete the square

Fill In The Blanks So The Left Side Is A Perfect Square Trinomial That Is Complete The Square class=

Sagot :

Given the equation;

[tex]x^2+4x+\text{?}=(x+\text{?)}^2[/tex]

We shall first express the equation in the form;

[tex]\begin{gathered} a^2+2ab+b^2 \\ \text{Where,} \\ x=a,4x=2ab \\ \text{Therefore, } \\ 2ab=2\times2\times x(4x) \\ \text{When, } \\ 2a=2x,\text{ } \\ \text{Then,} \\ 2ab=2x(2)=4x \\ b=2 \\ \text{Hence, we now have;} \\ \\ x^2+4x+4=(x+2)^2 \end{gathered}[/tex]

ANSWER:

Left blank = 4

Right blank = 2

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.