Trinomial 2x² + 4x + 4.
It's of the form ax²+bx+c and it's discriminant is Δ=b² - 4.a.c
(in our case Δ = 4² - (4)(2)(4) → Δ = - 32
We know that: x' = -1 + i and x" = -1 - i
If Δ > 0 we have 2 rational solutions x' and x"
If Δ = 0 we have1 rational solution x' = x"
If Δ < 0 we have 2 complex solutions x' and x", that are conjugate
In our example we have Δ = - 16 then <0 so we have 2 complex solutions
That are x'= [-b+√Δ]/2.a and x" = [-b-√Δ]/2.a
x' =
7(4(1/2))+3(5(1/3))+2(-3(1/2))=
7(4/2)+3(5/3)+2(-3/2)=
7(2)+15/3+-6/2=
14+5-3=
19-3=
16
f(x)=4x
To find the inverse, first change f(x) to y:
y = 4x
Now switch the variables:
x = 4y
Solve for Y:
Divide both sides by 4:
y = x/4
Now replace y with the inverse function f^-1(x):
f^-1(x) = x/4
Answer:
11.0905365064
11.1 (rounded)
Step-by-step explanation:
128 inches
for area , you multiply length times height so it’d be 16 x 8 :)