Question

B)Find z : (√z+√22)(√z-√22) = 35​

Answer 1

Answer: $\Large\boxed{z=57}$

Concept:

Here, we need to know how to expand expressions like (a - b)(a + b).

For expressions like (a - b)(a + b), the expanded form must be:

                                                  a² - b²

For checking whether it is true:

 (a - b)(a + b)

= a² - ab + ba - b²

= a² - b²

Solve:

Given equation

$(\sqrt{z}+\sqrt{22})(\sqrt{z}-\sqrt22)}=35$

Expand the parenthesis by the concept

$(\sqrt{z})^2-\sqrt{22}^2=35$

Simplify the exponents

$z-22=35$

Add 22 on both sides

$z-22+22=35+22$

$\Large\boxed{z=57}$

Hope this helps!! :)

Please let me know if you have any questions