Best solutions to - "What is x if 2x−3x=−4?"

Marlee Yates

Answered question

2022-02-05

What is x if

\frac{2}{x} - 3 x = - 4

Walter Howe

Beginner2022-02-06Added 9 answers

Step 1

\frac{2}{x} - 3 x = - 4

2 - 3 x^{2} = - 4 x

3 x^{2} - 4 x - 2 = 0

which is in the standard quadratic form:

a x^{2} + b x + c = 0

where

b = - 4, a = 3, c = - 2

Step 2
Hence, the roots of the equation are given by:

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

x = (\frac{4 \pm \sqrt{16 + 24}}{6})

x = \frac{4 \pm \sqrt{40}}{6}

x = \frac{2 \pm \sqrt{10}}{3}

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