Question

Solve for x and give your answer correct to 2decimal places.
4x+6/x+13=0

Answer 1

Answer:

4x = 10 6x = 9 so this is the answer for you my friend

Answer 2

Answer:

The roots are -0.56 and 2.70.

Step-by-step explanation:

The equation can be solved for x as follows:

$4x+\frac{6}{x}+13=0\\\frac{4x^{2}+6+13x}{x}=0\\4x^{2}+13x+6=0$

The last equation is a quadratic equation.

The roots of a quadratic equation are:

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

Here,

a = 4

b = 13

c = 6

Compute the roots as follows:

$x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=\frac{-13\pm\sqrt{13^{2}-(4\times4\times6)}}{2\times4}=\frac{-13\pm \sqrt{73}}{8}=(-0.557, 2.693)$

Thus, the roots are -0.56 and 2.70.