Solve 1/3x^2 + x - 4/3 = 0 using the quadratic formula.

1 and -4. Multiply every term by 3: x^2 + 3x - 4 = 0. D = 9 + 16 = 25, √D = 5. x = -3 ± 5/2 = 1 or -4. Multiplying an equation by 3 does not multiply its roots by 3.

Solve $\frac{1}{3} x^{2} + x - \frac{4}{3} = 0$ using the quadratic formula.

Class 10The Quadratic FormulaAlgebra — Quadratics

A1 and -4
B-1 and 4
C $\frac{1}{3}$ and $- \frac{4}{3}$
D3 and -12

Step-by-Step Solution

Multiply every term by 3:

x^{2} + 3 x - 4 = 0. D = 9 + 16 = 25, D = 5. x = \frac{- 3 \pm 5}{2} = 1

or -4. Multiplying an equation by 3 does not multiply its roots by 3.

Answer: A) 1 and -4

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More Class 10 The Quadratic Formula practice

Solve $\frac{1}{3} x^{2} + x - \frac{4}{3} = 0$ using the quadratic formula.