COMPLETING THE SQUARE (PROCESS):
Do a reverse factoring procedure to develop the following form of equation:
(t + a)^2 = b
where:
t = unknown variable
a = coefficient
b = coefficient
Then take square root of both sides to find value of unknown variable as follows:
t^2 + 10t = 75
(t^2 + 10t + 25) = 75 + 25
(t^2 + 5t + 5t + 25) = 100
(t + 5)(t + 5) = 100
(t + 5)^2 = 100
√(t + 5)^2 = √100
Two solutions exist:
+(t + 5) = 10
AND
-(t + 5) = 10
Thus:
t = 10 - 5 = 5
AND
t = -5 - 10 = -15
Answer:
t = 5
AND
t = -15
He was slower the second time because 1/10 > 1/12
Answer:
4q
We can write the verbal expression of this algebraic or mathematical expression as simple as four times a number. Since the unknown variable here is “q” and it is not specified it doesn’t mean a specific letter q but just a representation of an absent and unknown value of a number. Hence, these variables have a automated value of 1 hence, q = 1 but unless the value of this variable is changed in finding or filling this unknown it remains with the constant of 1.
Step-by-step explanation:
Answer:
The solution of the equation is 
⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve this problem
- The function f(x) = e^x is called the (natural) exponential function
- The natural logarithm (㏑), or logarithm to base e, is the inverse
function to the natural exponential function
∵ 
is an exponential function
∴ We can solve it by using the inverse of e (㏑)
- Remember:
# 
# 
- Insert ln in both sides
∴ 
∵ 
∴ 2x + 5 = ㏑(4)
- Subtract 5 from both sides
∴ 2x = ㏑(4) - 5
- Divide both sides by 2 to find x
∴ 
* The solution of the equation is
Add the all numbers Im not sure that's the answer
