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

`(√(z)+√(22))(√(z)-\sqrt22)}=35`

Expand the parenthesis by the concept

`(√(z))^2-√(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