Question

упростите
1) $frac{x-16}{ sqrt[]{x}-4 } - frac{x-9}{ sqrt{x}-3}$
2) x+${( sqrt{x-11)^{2} }$ если x<11
3) $frac{x+169}{ sqrt{-x}+13 }$
4) $frac{x-6 sqrt{x} -7}{ sqrt{x} +1} +7$

Answer 1

1
(√x-4)(√x+4)/(√x-4) -(√x-3)(√x+3)/√(√x-3)=√x+4-√x-3=1
2
x+|x-11|=x+11-x=11
3
(√-x -13)(√x+13)/(√-x+13)=√-x-13
4
(√x+1)(√x-7)/(√x+1) =7=√x-7+7=√x
x-6√x-7
√x=a
a²-6a-7=0
a1+a2=6 U a1*a2=-7
a1=-1 U a2=7
√x=-1 U √x=7