Answer:
Step-by-step explanation:
Given the equation:
You must solve for "x" to find its value.
You can follow these steps:
- Add to both sides of the equation:
- Subtract 9 from both sides of the equation:
- Divide both sides of the equation by 8. Then you get:
Answer:
For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;
-0.757, -17.5
Step-by-step explanation:
Given that the function is f(x) = √(2·x + 2) - √(x + 18)
The value of 'x' when f(x) = -1, is given as follows;
-1 = √(2·x + 2) - √(x + 18)
-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19
2·x² + 38·x + 36 = (3·x + 19)/2
2·x² + 38·x + 36 - (3·x + 19)/2 = 0
4·x² + 73·x + 53 = 0
From which we get;
x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)
x ≈ -0.757, and x ≈ -17.5
Answer:
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Step-by-step explanation:
Answer:
x < 9
Step-by-step explanation:
Given inequality:
6x + 9 < 63
Subtract 9 from both sides:
⇒ 6x + 9 - 9 < 63 - 9
⇒ 6x < 54
Divide both sides by 6:
⇒ 6x ÷ 6 < 54 ÷ 6
⇒ x < 9
Take 180 and subtract the sum of the two given angle, the answer is 62