The solutions of the equation
² - 16 = 0is 4/3 and -4/3 and that of the equation
is 8 and -4.
Solving the both quadratic equations by extracting square roots:
![9x^{2} - 16 = 0](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20%20-%2016%20%3D%200)
⇒
∴ On taking square-root of both sides, we get
= ![\sqrt{16}](https://tex.z-dn.net/?f=%5Csqrt%7B16%7D)
⇒
and ![3x = -4](https://tex.z-dn.net/?f=3x%20%3D%20-4)
⇒
= 4/3 and
= -4/3
For the equation,
, the solution is:
![(z - 2)^{2} - 36 = 0](https://tex.z-dn.net/?f=%28z%20-%202%29%5E%7B2%7D%20%20-%2036%20%3D%200)
⇒ ![(z - 2)^{2} = 36](https://tex.z-dn.net/?f=%28z%20-%202%29%5E%7B2%7D%20%20%3D%2036)
∴ On taking square-root of both sides, we get
![\sqrt{(z - 2)^{2} } = \sqrt{36}](https://tex.z-dn.net/?f=%5Csqrt%7B%28z%20-%202%29%5E%7B2%7D%20%7D%20%20%3D%20%5Csqrt%7B36%7D)
⇒ (z - 2) = 6 and (z - 2) = -6
⇒ z = 6 +2 and z = -6 + 2
⇒ z = 8 and z = -4
The solution of the equation
is 4/3 and -4/3.
The solution of the equation
is 8 and -4.
For similar equation, visit here:
brainly.com/question/18397338
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