X+24*(1/x)=11
x+24/x=11
x²+24=11x
x²-11x+24=0
(x+3)(x-8)=0
x=-3, x=8
checking : 8+24*(1/8)=11, 8+3=11 correct
-3+24*(1/-3)=-3-8=-11 incorrect
number is 8, reciprocal is 1/8
You factor the numerator and denominator and cancel the common factors. So maybe that should help you
The answer is 7.15 which is also equivalent to 7 15/20
P = f*s
f +3s = 60
p = (60 -3s)*s = 3(20 -s)*s
This equation describes a parabola that opens downward. The roots of the equation are s=0 and s=20, so the axis of symmetry is s=(0+20)/2 = 10. That is, the vertex (maximum) will be found at s=10.
The second number is 10. The first number is 60-3*10 = 30.
The product is maximized when the first number is 30 and the second is 10.