Question

Solve these equations:

(a) x squared= 49
(b) x squared – 7 = 29
(c) 4x squared = 64

Answer 1

(a)
X²=49
x=7, -7
(b)
x²-7=29
x²=36
x=6, -6
(c)
4x²=64
x²=16
x=4, -4

Answer 2

a.

`x^2=49 \\ √(x^2)=√(49) \\ |x|=7 \\ x=-7 \ \lor \ x=7 \\ \boxed{x=-7 \hbox{ or } x=7}`

b.

`x^2-7=29 \ \ \ |+7 \\ x^2=36 \\ √(x^2)=√(36) \\ |x|=6 \\ x=-6 \ \lor \ x=6 \\ \boxed{x=-6 \hbox{ or } x=6}`

c.

`4x^2=64 \ \ \ |/ 4 \\ x^2=16 \\ √(x^2)=√(16) \\ |x|=4 \\ x=-4 \ \lor \ x=4 \\ \boxed{x=-4 \hbox{ or } x=4}`