Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Solve these equations:
(a) x squared= 49
(b) x squared – 7 = 29
(c) 4x squared = 64


Sagot :

naǫ
a.
[tex]x^2=49 \\ \sqrt{x^2}=\sqrt{49} \\ |x|=7 \\ x=-7 \ \lor \ x=7 \\ \boxed{x=-7 \hbox{ or } x=7}[/tex]

b.
[tex]x^2-7=29 \ \ \ |+7 \\ x^2=36 \\ \sqrt{x^2}=\sqrt{36} \\ |x|=6 \\ x=-6 \ \lor \ x=6 \\ \boxed{x=-6 \hbox{ or } x=6}[/tex]

c.
[tex]4x^2=64 \ \ \ |\div 4 \\ x^2=16 \\ \sqrt{x^2}=\sqrt{16} \\ |x|=4 \\ x=-4 \ \lor \ x=4 \\ \boxed{x=-4 \hbox{ or } x=4}[/tex]
(a)
X²=49
x=7, -7
(b)
x²-7=29
x²=36
x=6, -6
(c)
4x²=64
x²=16
x=4, -4