Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
Given
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ← factor out 2 on the left side
2(x² + 4x) = 1
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1, that is
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² =
( take the square root of both sides )
x + 2 = ±
= ±
= ±
( subtract 2 from both sides )
x = - 2 ± 1.5
, thus
x = - 2 - 1.5
≈ - 4.12 ( to 2 dec. places )
x = - 2 + 1.5
≈ 0.12 ( to 2 dec. places )
Hi!
Is there a specific question you need help with? Writing fractions into simplest form is very easy. All you have to do is find a number that both the numerator and denominator can be divided by, and divide them both with it.
For example: 15/20. They both can be divided by 5. So do that. 15 divided by 5 = 3. 20 divided by 5 = 4. So the new fraction will be 3/4. It cannot be divided by another whole number. So that is the simplest form.
Pls let me know if you need more help.
Have a great day!
Answer:
3692.64 inches cubed.
Step-by-step explanation:
round this answer to the nearest tenth and that is your answer!
- 23 and - 24
note that negative numbers are smaller than positive numbers.
The 2 negative numbers in the list are - 23 and - 24
and their sum = - 23 + (- 24 ) = - 23 - 24 = - 47