The approximate solution of this equation will be,x=1.07. Hence option D is correct.
What is a fraction simplification?
Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.
This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.
The given fraction is;
[tex]\rm \frac{x}{x+3} = \sqrt{x-1}[/tex]
Squaring both sides;
[tex]\rm (\frac{x}{x+3})^2 = (\sqrt{x-1})^2 \\\\ x^2 = (x+3)^2(x-1)\\\\ (x^2 = x^2+9+6x )(x-1) \\\\ x^2 = x^3 + 9x + 6x^2 -x^2 -9 - 6x \\\\ x^2 = x^3+5x^2+3x+9 \\\\ x^3 + 4x^2 +3x-9=0[/tex]
After solving the equation we get;
x= 1.07.
Hence option D is correct.
To learn more about fraction simplification, refer to https://brainly.com/question/11479469
#SPJ1
