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Solve $3 x^{2} + 4 x - 1 = 0$ and give the roots in simplest surd form.

Class 10The Quadratic FormulaAlgebra — Quadratics

A $\frac{- 2 \pm 7}{3}$
B $\frac{2 \pm 7}{3}$
C $\frac{- 4 \pm 7}{6}$
D $\frac{- 2 \pm 28}{3}$

Step-by-Step Solution

D = 16 + 12 = 28. x = \frac{- 4 \pm 28}{6} = \frac{- 4 \pm 2 7}{6} = \frac{- 2 \pm 7}{3}

. The surd must be simplified

(28 = 27)

before cancelling the common factor 2.

Answer: A)

\frac{- 2 \pm 7}{3}

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