Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4
Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0
The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0
Divide both sides by 2:(x - 3) (x + 1) = 0
Split into two equations:x - 3 = 0 or x + 1 = 0
Add 3 to both sides:x = 3 or x + 1 = 0
Subtract 1 from both sides:Answer: x = 3 or x = -1
Answer:
f is not defined at x = 3 ⇒ answer (b)
Step-by-step explanation:
∵ f(x) = x² - x - 6/x² - 9 is a rational function
∴ It will be undefined at the values of x of the denominator
∵ The denominator is x² - 9
∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9
∴ x = ± 3
∴ f(x) can not be defined at x = 3
∴ The f(x) can not be continuous at x = 3
∴ The answer is (b)
Answer:
Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.
-18x-17=-53 /add 17 to both sides
-18x-17+17=-53+17
-18x=-36
x=(-36)/(-18)
x=2
, and from the values:
,
.
.