Question

Which system of equations can you use to find the roots of the equation?
x3 – 10x = x2 – 6

y = x3 – x2 + 10x + 6
y = 0

y = x3 – x2 + 10x
y = 6

y = x3 – 10x
y = x2 – 6

Answer 1

The third system:

y = x^3 − 10x
y = x^2 − 6

Because the solutions of x^3 − 10x = x^2 − 6 are the x-coordinates where the graphs of y = x^3 − 10x and y = x^2 − 6 intersect.