Find out the answer to "What is x if 4x+3x−9=5?"

realenishb0

Answered question

2022-02-05

What is x if

4 x + \frac{3}{x} - 9 = 5

ljmolerovae

Beginner2022-02-06Added 15 answers

4 x + \frac{3}{x} - 9 = 5

multiplying both the sides with x

x (4 x + \frac{3}{x} - 9) = 5 . x

4 x . x + \frac{3}{x} . x - 9 . x = 5 . x

4 x^{2} + 3 - 9 x = 5 x

Subtracting 5x from both sides

4 x^{2} + 3 - 9 x - 5 x = 5 x - 5 x

4 x^{2} + 3 - 14 x = 0

4 x^{2} - 14 x + 3 = 0

Apply the quadratic formula.

4 x^{2} - 14 x + 3

is in the form of a quadratic equation

a^{2} x + b x + c

, where

a = 4, b = - 14, and c = 3

.
Quadratic Formula

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

x = \frac{- (- 14) \pm \sqrt{(- 14^{2}) - (4 \cdot 4 \cdot 3)}}{2 \cdot 4}

x = \frac{14 \pm \sqrt{196 - 48}}{8} =

x = \frac{14 \pm \sqrt{148}}{8}

Solve for x.

x = \frac{14 + \sqrt{148}}{8}, \frac{14 - \sqrt{145}}{8}

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