Claudia's father is 7 times as old as Claudia. 20 years from now, Claudia will be 1/2 as old as her father. How old is Claudia's
1 answer:
Lets label the variables...
x=Claudia's age now
y=Claudia's dad's age now
Lets write a system...
7x=y (7 of Claudia's age are equivalent 1 of her father's)
x+20=
(Claudia plus 20 years is equal to half of Claudia's father's age now)
Now solve the system using the elimination of substitution method.
Hope that helps :)
x=Claudia's age now
y=Claudia's dad's age now
Lets write a system...
7x=y (7 of Claudia's age are equivalent 1 of her father's)
x+20=
Now solve the system using the elimination of substitution method.
Hope that helps :)
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Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± = ± i ( noting that
= i ), and
x² = - 5 ( take the square root of both sides )
x = ± = ±
= ±
×
= ± i
Solutions are x = ± i and x = ± i