Answer:
see explanation
Step-by-step explanation:
Given
x² - 2x - 4 = 0 ( add 4 to both sides )
x² - 2x = 4
To solve use the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 4 + 1
(x - 1)² = 5 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ± , thus
x = 1 + or x = 1 -
Answer:
Therefore,
The length of the sides of the squares is
Step-by-step explanation:
Let "x" be the length of Cut Square,
As the tin size(Dimension) is
20 cm × 50 cm
So the size(Dimension) of box will be
(20 - 2x) × (50 - 2x)
Length = 50 - 2x
Width = 20 - 2x
Area of base of box = 216 cm²
To Find:
x = ?
Solution:
Area of Rectangular field is given by
Substituting the values we get
Applying Distributive property we get
Dividing throughout by 4 we get
On Factorizing we get
As x cannot be 28 because tin size is 20 cm × 50 cm i.e longer than 20
Therefore,
Therefore,
The length of the sides of the squares is
