Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
To complete the square in the expression [tex]\( x^2 + 16x + c \)[/tex], follow these steps:
1. Identify the coefficient of [tex]\( x \)[/tex]:
The coefficient of [tex]\( x \)[/tex] in the expression [tex]\( x^2 + 16x + c \)[/tex] is 16.
2. Divide the coefficient of [tex]\( x \)[/tex] by 2:
Calculate [tex]\( \frac{16}{2} \)[/tex]:
[tex]\[ \frac{16}{2} = 8 \][/tex]
3. Square the result from step 2:
Compute [tex]\( 8^2 \)[/tex]:
[tex]\[ 8^2 = 64 \][/tex]
Therefore, the value of [tex]\( c \)[/tex] that will complete the square is 64.
4. Form the perfect square trinomial:
The given expression [tex]\( x^2 + 16x + 64 \)[/tex] can now be written as a perfect square trinomial.
5. Write the expression as a squared binomial:
The squared binomial form is:
[tex]\[ (x + 8)^2 \][/tex]
So, the value of [tex]\( c \)[/tex] that completes the square is 64, and the perfect square trinomial can be expressed as [tex]\( (x + 8)^2 \)[/tex].
1. Identify the coefficient of [tex]\( x \)[/tex]:
The coefficient of [tex]\( x \)[/tex] in the expression [tex]\( x^2 + 16x + c \)[/tex] is 16.
2. Divide the coefficient of [tex]\( x \)[/tex] by 2:
Calculate [tex]\( \frac{16}{2} \)[/tex]:
[tex]\[ \frac{16}{2} = 8 \][/tex]
3. Square the result from step 2:
Compute [tex]\( 8^2 \)[/tex]:
[tex]\[ 8^2 = 64 \][/tex]
Therefore, the value of [tex]\( c \)[/tex] that will complete the square is 64.
4. Form the perfect square trinomial:
The given expression [tex]\( x^2 + 16x + 64 \)[/tex] can now be written as a perfect square trinomial.
5. Write the expression as a squared binomial:
The squared binomial form is:
[tex]\[ (x + 8)^2 \][/tex]
So, the value of [tex]\( c \)[/tex] that completes the square is 64, and the perfect square trinomial can be expressed as [tex]\( (x + 8)^2 \)[/tex].
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.