Question

Help me with mathematics pls

Answer 1

Answer: -2.19 or 1.69

x = −2.18723​509003

or

x = 1.687​23509003

Explanation:

Answer 2

x ≈ 4.19 meters

Explanation:

You want the value of x given a (4x +2) by (2x +3) rectangle with a cutout corner that is (x+2) by (x-1) has an area of 194 square meters.

Area

The difference in area between the enclosing rectangle and the missing corner is ...

(4x +2)(2x +3) -(x +2)(x -1) = 194

8x² +16x +6 -(x² +x -2) = 194

7x² +15x +8 = 194

7x² +15x -186 = 0 . . . . . . put in standard form

This is best solved using the quadratic formula:

`x=(-b+√(b^2-4ac))/(2a)=(-15+√(15^2-4(7)(-186)))/(2\cdot7)\\\\=(-15+√(5433))/(14)\approx\boxed{4.193492}`

The value of x is about 4.19 meters.