Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer: y = 1/2 or y = -1/2
Step-by-step explanation:
First move the 1 to the side with the 0
-4y^2 = -1 // -1 because when you move a number to the other side of the equation you have to multiply -1
Then divide by -4 on each side
y^2 = 1/4
square root each side
|y| = 1/2 // sq rt y^2 becomes an absolute value because when you square root a square it automatically becomes an absolute value
so the answer would be y = 1/2 or -1/2
to check just put it into the equation as y. Both work.
EXPLANATION:
[tex]1-4y^2=0\\1^2-(2y)^2=0\\(1-2y)(1+2y)=0\\[/tex]
⇒ [tex]1-2y=0[/tex] or [tex]1+2y=0\\[/tex]
⇒ [tex]2y=1[/tex] or [tex]2y=-1\\[/tex]
⇒ [tex]y= \frac{1}{2}[/tex] or [tex]y=\frac{-1}{2}[/tex]
P/s: [tex]A^2-B^2=(A-B)(A+B)[/tex]
Ok done. Thank to me :>
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.