Answer:
10. x = 3 ± 2√6
11. x = 4 ± √6
12. 
and 
Step-by-step explanation:
10. Given the quadratic equation (x - 3)² + 14 = 38
We have to solve it by square root.
Now, (x - 3)² + 14 = 38
⇒ (x - 3)² = 38 - 14 = 24
⇒ (x - 3)² = (2√6)²
Now, square rooting both sides we get,
(x - 3) = ± 2√6
⇒ x = 3 ± 2√6 (Answer)
11. Given the quadratic equation x² - 8x + 10 = 0
We have to solve it by completing the square.
Now, x² - 8x + 10 = 0
⇒ x² - 2(4)(x) + 4² = 4² - 10
⇒ (x - 4)² = (√6)²
Now, square rooting both sides we get,
x - 4 = ± √6
⇒ x = 4 ± √6 (Answer)
12. Given the quadratic equation 5x² + 7x - 3 = 0
We have to solve it by quadratic formula.
Hence,
and 
⇒ and (Answer)
Answer: 23,24,25
Step-by-step explanation:
Obviously the numbers are about 72÷3 = 24 so see if 23,24,25 works. It does. No need to solve
(i-1) + (i) + (i+i) = 72, 3i=72, i=24.
Answer and Step-by-step explanation:
Let's try to add these two mixed numbers together. We have 
and 
.
First, add the nonfractional parts together:
1 + 2 = 3
Now add the fractional parts. Because 3/10 and 5/10 already have a common denominator (10), we can simply add the numerators together:
Add 8/10 to our whole number 3:
3 + 8/10 = 
Clearly, 
≠ 5, which is why 1 3/10 + 2 5/10 ≠ 5.
Hope this helps!
Answer:
28
Step-by-step explanation:
sry if I'm wrong although I used calculator
Step-by-step explanation:
4/5 divide
0.8 is the ans
