Answer:
126
Step-by-step explanation:
2=1³+1
9=2³+1
28=3³+1
65=4³+1
=>5³+1=126
The rule is: n³+1
Answer:
Step-by-step explanation:
<span>g(x) = x3
– x2 – 4x + 4 </span>
<span>You can find
the zeroes by factoring the equation. x<span>2 </span>(x - 1) - 4(x - 1) = 0 </span>
<span>(x2
- 4) (x - 1) = 0 </span>
(x + 2) (x -
2) (x - 1) = 0
x = 2, -2,
and 1
The
following are the key features of g(x):
g'(x) yields
the slope
g''(x) yields
the concavity
g'(x) = 0 provides
the critical points
<span>g''(x) = 0 provides the point of inflection</span>
Answer:
28/9
Step-by-step explanation:
If the roots are J and K, then:
3 (x − J) (x − K) = 0
3 (x² − (J+K)x + JK) = 0
So if we factor out the leading coefficient:
3x² − 2x − 4 = 0
3(x² − 2/3x − 4/3) = 0
The coefficient of the second term is the sum of the roots:
J + K = 2/3
And the constant is the product of the roots:
JK = -4/3
If we take the sum of the roots and square it:
(J + K)² = (2/3)²
J² + 2JK + K² = 4/9
And subtract twice the product:
J² + K² = 4/9 − 2JK
J² + K² = 4/9 − 2(-4/3)
J² + K² = 4/9 + 8/3
J² + k² = 28/9
