Question

Consider the equations y = VI and y

32 – 1.
The system of equations is equal at approximately

Answer 1

`x = 2.62` and
`x = 0.381`

Explanation:

`y = \sqrt x\\`

`y = x - 1`

Required

y, when they are equal.

To do this, we set them to another

`√(x) = x - 1`

Square both sides

`x = (x - 1)^2`

Expand

`x = x^2 - 2x + 1`

Collect like terms

`x^2 -x-2x+1 = 0`

`x^2 - 3x + 1 = 0`

Using quadratic formula

`x = 2.62` and
`x = 0.381`