Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Find the values of x for the given equation $3x^2 +5x - 2 = 0 $

Options:

-3 and -2

3 and $-\frac{1}{2}$

2 and -3

-2 and $\frac{1}{3}$

Correct Answer:

-2 and $\frac{1}{3}$

Explanation:

3x2 + 5x - 2 = 0

= 3x2 + 5x - 2

= 3x2 + 6x - x - 2

= 3x(x + 2) -1(x + 2)

= (3x - 1)(x + 2)

= 3x - 1 = 0

so, x = \(\frac{1}{3}\)

= x + 2 = 0 so x = -2