Which of the following statements is true?
2 answers:
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Answer:
x = - 4 ± 2
Step-by-step explanation:
Given
f(x) = x² + 8x + 4
To find the zeros let f(x) = 0, that is
x² + 8x + 4 = 0 ( subtract 4 from both sides )
x² + 8x = - 4
To solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = - 4 + 16
(x + 4)² = 12 ( take the square root of both sides )
x + 4 = ± = ± 2
( subtract 4 from both sides )
x = - 4 ± 2
Thus the zeros are
x = - 4 - 2 and x = - 4 + 2
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)
m = =
= - 1 ← negative slope
Repeat
with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)
m = =
Division by zero is undefined, thus slope is undefined.
Repeat with
(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)
m = =
= 0 ← zero slope
Repeat with
(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)
m = =
=
← positive slope