0
x2 - x = 0 ?
simplifying to the initial equation by grouping of terms:
x(x-1) = 0
is true when x = 1 or x = 0
by the quadratic formula we can find the root (solution) of the equation as follows:
the equation can be rewritten as
(1(x2)) - (1(x)) + 0 = 0
so that we can see the form ax2 + bx +c = 0
Substituting our values for a, b and c into the formula, we get
x = (-b ± √(b2 - 4ac)) ÷ 2a
x = (-(-1) ± √(-12 - 4x1x0)) ÷ (2 x 1)
x = (-(-1) ± √(1 - 0)) ÷ 2
x = (1 ± 1) ÷ 2
x = 2 ÷ 2 = 1
OR
x = 0 ÷ 2 = 0
i.e. the roots (solution) of the equation x2 - x = 0 ? are when x = 1 or x = 0
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