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
Step-by-step explanation:
Below is an attachment containing the solution.
Bjhmi gvutt t7vnyv t7fvm.tv tfvftyvtf tv tfv
The upper quartile for the data set given below is ------- 14, 8, 23, 9, 11, 27, 22, 3, 17, 12, 29
Darya [45]
The answer is 22.5... 22+23=45...45/2=22.5