Answer:
√33
x = -5/2 ± ---------
2
Step-by-step explanation:
Through completing the square, we get:
x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or
(x + 5/2)^2 - 25/4 - 2 = 0.
This simplifies to
(x + 5/2)^2 = 33/4
Taking the square root of both sides yields:
x + 5/2 = ±√(33/4), which can be solved explicityl for x:
√33
x = -5/2 ± ---------
2
Answer:
6/5
Step-by-step explanation:
Answer:
a=24 0.5x24=12
Step-by-step explanation:
2 less than a number n is (n - 2 ) and 3 times this is 3(n - 2 ), thus
3(n - 2) ≥ 5n ( greater than or equal to 5 times n )
3n - 6 ≤ 5n ( subtract 3n from both sides )
- 6 ≥ 2n ( divide both sides by 2 )
- 3 ≥ n or n ≤ - 3
Since n is less than or equal to - 3 use bracket ]
n ∈ ( - ∞, - 3 ] ← solution set