Answer:
Solution set of the quadratic equation is, Empty set
Step-by-step explanation:
Given the quadratic equation: 
Subtraction property of equality states that you subtract the same number to both sides of an equation.
Subtract both sides by 1 we get;
Simplify:
Division property of equality states that you divide the same number to both sides of an equation.
Divide both sides by 6 we get;
Simplify:
For any x in real number there does not exist any number x which satisfy
, therefore, there is no solution for this set of the quadratic inequality or in other word we can say that set of the solution is Empty set.
Answer: (0;16) (4;0) (2;0) (-2;0).
Step-by-step explanation:
Y-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:
X-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:
Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
= 
[2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
= [(2 × 5) + 2(n - 1) ]
= (10 + 2n - 2)
= (2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11
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