I assume you are asking to solve:
-2x^2 + 3x - 9 = 0
So first, this equation does not have real roots.
It only has 2 complex roots.
The roots are:
3/4 * (1-i√7) and 3/4 * (1+i√7)
The pair of points that are equal to x coordinates is (0,0)
Answer:
c=2
Step-by-step explanation:
All polynomials are continuous and differentiable on the set of real numbers.
So we just need to confirm on the given interval that f(1)=f(3).
f(1)=1-12(1)+3(1)^2
f(1)=1-12+3
f(1)=-8
f(3)=1-12(3)+3(3)^2
f(3)=1-36+27
f(3)=-8
So this means there is c in (1,3) such that f'(c)=0.
To solve that equation we must differentiate.
f(x)=1-12x+3x^2
f'(x)=0-12+6x
f'(x)=-12+6x
Remember we need yo solve f'(c)=0 for c.
So we need to solve -12+6c=0.
-12+6c=0
Add 12 on both sides:
6c=12
Divide both sides by 6:
c=2
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
x=(-8-2√3)/2= (-2(4+√3))/2= -(4+√3)
AND
x=(-8+2√3)/2=-2(4-√3)/2= -(4-√3)
To get the answer we have to find number of towers.
If Arturo built 3 sandcastles with 6 towers each we can say that Arturo built
3*6=18 towers
If Paco built 5 sandcastles with 4 towers each we can say that Paco built
5*4=20 towers
20-18=2 - difference between Paco and Arturo
Answer:Arturo made more towers. The difference is 2.
