Question

Sort the equations in ascending order from top to bottom based on the positive values of 'x'.

• A. $(x-1)(x+1)=0$
• B. $x(x-1)=4-x$
• C. $x^2=9$
• D. $(x-3)(x+3)=7$
• E. $x(3-x)=3x-25$

Answer 1

$(x-1)(x+1)=0\Rightarrow x^2-1=0\Rightarrow x^2=1\Rightarrow x=\sqrt{1}=1$

$x(x-1)=4-x\Rightarrow x^2-x=4-x\Rightarrow x^2=4\Rightarrow x=\sqrt{4}=2$

$x^2=9\Rightarrow x=\sqrt{9}=3$

$(x-3)(x+3)=7\Rightarrow x^2-9=7\Rightarrow x^2=16\Rightarrow x=\sqrt{16}=4$

$x(3-x)=3x-25\Rightarrow 3x-x^2=3x-25\Rightarrow x^2=25\Rightarrow x=\sqrt{25}=5$