Answer:
x = 4 & 2
Step-by-step explanation:
-2x²+12x-16 = 0
-2(x²-6x+8) = 0 // Factor what's in the parentheses
-2(x-4)(x-2) = 0
-2(x-4) = (-2x+8)
(-2x+8) = 0 // Subtract 8 on both sides
-2x = -8 // Divide both sides by -2
x = 4
x-2 = 0 // Add 2 on both sides
x = 2
The area of the circle is 95.03.
If x=6 is the only intercept, it means that the quadratic is tangential to the x-axis, or equivalently x=6 is a root with multiplicity 2.
The discriminant is typically zero for multiplicity 2 in a quadratic.
It will be clear looking at the quadratic formula:
if D=b^2-4ac = discriminant of the quadratic, then
x1=(-b+sqrt(D))/2a or x2=(-b-sqrt(D))/2a
if x1=x2 (double root, or multiplicity 2) then clearly D has to be zero.