Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
Multiply 4 * 5, which equals 20, and add the two zeroes(from 40 and 50) on the end.
That gives us:
2000
Answer:
Step-by-step explanation:
The mesa people of the Southwest adapted their homes to their arid ... dry and barren. In order ... To adapt to their environment, the Indians of the Great Basin lived in ... American Indians of the Plateau found it relatively easy to get food because ... The Southeast cultural region was good for farming because its climate has.
Answer:
2 square cm
Step-by-step explanation:
Given :
A square is inscribed in a circle whose radius is r = 1 cm
Therefore, the diameter of the circle is 2 r = 2 x 1
= 2 cm.
So the diagonal of the square is 2r.
Using the Pythagoras theorem, we find each of the side of the triangle is
.
Therefore, the area of the square is given by 
= 



Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.
Answer:9
Step-by-step explanation: