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Statement 1: x³ - x² = 0 --> x²(x - 1) = 0sana.noor wrote:what is the value of x?
a) x^3-x^2 = 0
b) (-x)^2 = -x^2
1. The first red line is redundant, as from the given equation itself we can deduce that x³ = x².sana.noor wrote:I was doing this question as
x^3-x^2 = 0
X^3 - x^2 + x^2 = 0 + x^2
x^3 = x^2
and the only solution of x is +1...therefore i thought that the answer must be D.
I think it's helpful in this case to think conceptually, rather than algebraically. If x^3 - x^2 = 0, then x^3 and x^2 must have the same value. For what numbers are the square and the cube equal? For 0 and 1.sana.noor wrote:I was doing this question as
x^3-x^2 = 0
X^3 - x^2 + x^2 = 0 + x^2
x^3 = x^2
and the only solution of x is +1...therefore i thought that the answer must be D.
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