Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Solving y²-14y=0 by splitting the middle
We want to make sure that we have no y² coefficient and put any constants on the right side. Check.
Now, take half of the y coefficient, (half of -14 would be -7) square it, (-7² = 49) and add it to both sides.
[tex]y^2-14y+49=49[/tex]
Factor the left side. (Since the method we're using sets up a perfect square trinomial, it's going to be (y+half of the y coefficient)².
[tex](y-7)^2=49[/tex]
Take the square root of each side.
[tex]y-7=\±7[/tex]
[tex]y=7\±7[/tex]
[tex]\boxed{y=0\ or\ 14}[/tex]
We want to make sure that we have no y² coefficient and put any constants on the right side. Check.
Now, take half of the y coefficient, (half of -14 would be -7) square it, (-7² = 49) and add it to both sides.
[tex]y^2-14y+49=49[/tex]
Factor the left side. (Since the method we're using sets up a perfect square trinomial, it's going to be (y+half of the y coefficient)².
[tex](y-7)^2=49[/tex]
Take the square root of each side.
[tex]y-7=\±7[/tex]
[tex]y=7\±7[/tex]
[tex]\boxed{y=0\ or\ 14}[/tex]
y² - 14y = 0
y² - 14y - 0 = 0
x = -(-14) +/- √(-14)² - 4(1)(0))
2(1)
x = 14 +/- √(196 - 0)
2
x = 14 +/- √(196)
2
x = 14 +/- 14
2
x = 7 + 7
x = 7 + 7 x = 7 - 7
x = 14 x = 0
y² - 14y - 0 = 0
x = -(-14) +/- √(-14)² - 4(1)(0))
2(1)
x = 14 +/- √(196 - 0)
2
x = 14 +/- √(196)
2
x = 14 +/- 14
2
x = 7 + 7
x = 7 + 7 x = 7 - 7
x = 14 x = 0
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.