Question

2x-1=√x+5 find the value of x​

Answer 1

Answer:

$2x-1=\sqrt{x} +5$

$2x-\sqrt{x} =6$

$2x-\sqrt{x} -6=0$

$2x-3\sqrt{x}+2\sqrt{x}-6=0$

$2\sqrt{x}(\sqrt{x} -2)+3(\sqrt{x} -2)=0$

$(2\sqrt{x} +3)(\sqrt{x} -2)=0$

$\sqrt{x} -2=0$

$\sqrt{x} =2$

$x=2^2=4$

$2\sqrt{x} +3=0$

$2\sqrt{x} =-3$

$\sqrt{x} =\frac{-3}{2}$

$x=(\frac{-3}{2})^2=\frac{9}{4}$