Answer:
For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;
-0.757, -17.5
Step-by-step explanation:
Given that the function is f(x) = √(2·x + 2) - √(x + 18)
The value of 'x' when f(x) = -1, is given as follows;
-1 = √(2·x + 2) - √(x + 18)
-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19
2·x² + 38·x + 36 = (3·x + 19)/2
2·x² + 38·x + 36 - (3·x + 19)/2 = 0
4·x² + 73·x + 53 = 0
From which we get;
x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)
x ≈ -0.757, and x ≈ -17.5
Answer:
The solutions of the original equation are x=-5 and x=-2
Step-by-step explanation:
we have
Let
Rewrite the equation
Complete the square
rewrite as perfect squares
square root both sides
the solutions are
u=-2,u=1
<em>Alternative Method</em>
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
the solutions are
u=-2,u=1
<em>Find the solutions of the original equation</em>
For u=-2
----> 
For u=1
----> 
therefore
The solutions of the original equation are
x=-5 and x=-2
The unit rate is $2.75
If you divide the cost by Movies/week you would always get $2.75
For example:
11÷4=2.75
13.75÷5=2.75
19.25÷7=2.75
22÷8=2.75
Hope this helps you :))
Answer:
False
Step-by-step explanation:
I'm pretty sure it's false, sry if it's not
(2x-3)(x+4) —> x= 3/2 x= -4
