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Solve $9 x^{2} - 12 x + 4 = 0$ by the quadratic formula. The solution is:

Class 10The Quadratic FormulaAlgebra — Quadratics

A $\frac{3}{2}$ , twice
B $\frac{2}{3}$ and $- \frac{2}{3}$
C $\frac{2}{3}$ , twice
D $\frac{4}{3}$ , twice

Step-by-Step Solution

D = 144 - 144 = 0

, so

D = 0

and the

\pm

collapses.

x = \frac{12}{18} = \frac{2}{3}

, a repeated root. (Dividing 12 by

a = 9

instead of

2 a = 18

gives the wrong value

\frac{4}{3} .

)

Answer: C)

\frac{2}{3}

, twice

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