Answer:
x = 9 is a true solution
Step-by-step explanation:
Given:
√x - √(x - 5) = 1
This is irrational equation with next conditions:
x ≥ 0 and x - 5 ≥ 0 => x ≥ 0 and x ≥ 5 => x ≥ 5
√x - √(x - 5) = 1 => √x = 1 + √(x - 5)
now we will square both sides of equation and get:
x = x - 5 + 2 √(x - 5) + 1 => 2 √(x - 5 = x - x + 5 - 1 => 2 √(x - 5) = 4
now we will divide both sides with 2 and get:
√(x - 5) = 2
now we will square both sides of equation and get:
x - 5 = 4 => x = 4 + 5 = 9 => x = 9
since that this solution satisfies the given condition x ≥ 5 is accepted as final
x = 9
Check:
√9 - √(9 - 5) = 1 => 3 - √4 = 1 => 3 - 2 = 1 => 1 = 1 It's true
God with you!!!
Answer:
7 miles in all
Step-by-step explanation:
1
5.5
+1.5
= 7.0
<h2>
Explanation:</h2><h2>
</h2>
Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll assume m∠1 and m∠2 are complementary angles. Angles that add up to 90° are called complementary angles. In this case, we know m∠1 and want to know m∠2. Thus, we can establish the following formula:
m∠1 + m∠2 = 90°
Isolating m∠2:
m∠2 = 90° - m∠1
m∠2 = 90° - 64
m∠2 = 26°
Using PEMDAS, You know that you have to multiply first so 3*2 is 6. Than you have to add 6+4 which gives you 10... So there for 10 is your answer....
Determine the defined range k=0
move expression to the left side and change its sign so it would be the problem = 0
write all numerators above the least common denominator 6k (*2*)-Squared
calculate the sum or the difference
check the solution in the defined range
hope this helped you
