Answer:
k = 12
Step-by-step explanation:
Given:
The equation 
To find:
Value of 
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation: 
to have one distinct solution:
Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:
The equation becomes:
And the one root is:
Answer:
4
x
−
4
2
Step-by-step explanation:
<span>5,10,15,20,25,30,35,40,45,50,55,60 or 6,12,18,24,30,36,42,48,54,60,66,72</span>
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = x² - 6x + 8 and g(x) = x + 2
To solve f(x) = g(x), equate the right sides, that is
x² - 6x + 8 = x + 2 ← subtract x + 2 from both sides
x² - 7x + 6 = 0 ← in standard form
(x - 1)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 6 = 0 ⇒ x = 6
These solutions can be verified from the tables, that is
f(x) = g(x) = 3 ← when x = 1
f(x) = g(x) = 8 ← when x = 6
Answer:
4800
Step-by-step explanation:
length = 20mm X 3 = 60mm
width = 20mm X 4 = 80mm
area = length X width = 60 X 80 = 4800 m
I hope it helps you!
