упростите
1) [tex] \frac{x-16}{ \sqrt[]{x}-4 } - \frac{x-9}{ \sqrt{x}-3} [/tex]
2) x+[tex]{( \sqrt{x-11)^{2} } [/tex] если x<11
3) [tex] \frac{x+169}{ \sqrt{-x}+13 } [/tex]
4) [tex] \frac{x-6 \sqrt{x} -7}{ \sqrt{x} +1} +7[/tex]
1) [tex] \frac{x-16}{ \sqrt[]{x}-4 } - \frac{x-9}{ \sqrt{x}-3} [/tex]
2) x+[tex]{( \sqrt{x-11)^{2} } [/tex] если x<11
3) [tex] \frac{x+169}{ \sqrt{-x}+13 } [/tex]
4) [tex] \frac{x-6 \sqrt{x} -7}{ \sqrt{x} +1} +7[/tex]
Answers & Comments
Verified answer
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