Question

Ai giải giúp mình giải bài này với

`\sqrt{36x^(2) -60x+25} =4`

Answer 1

x=
`(3)/(2)` and x=
`(1)/(6)`

Explanation:

`√(36x^2-60x+25)=4`

=>
`√(36x^2-60x+25)^(2) =4^(2)`

=>
`{36x^2-60x+25}=16`

=>
`36x^2-60x+25-16=16-16`

=>
`36x^2-60x+9=0`

=>
`x_(1,\:2)=(-\left(-60\right)\pm √(\left(-60\right)^2-4\cdot \:36\cdot \:9))/(2\cdot \:36)\\\\√(\left(-60\right)^2-4\cdot \:36\cdot \:9)=48`

=>
`x_(1,\:2)=(-\left(-60\right)\pm \:48)/(2\cdot \:36)`

=>
`x_(1) = (-\left(-60\right)+48)/(2\cdot \:36)\\\\x_(1)=(60+48)/(2\cdot \:36)\\\\x_(1)=(108)/(72) \\\\\\x_(1)=(3)/(2)\\`

=>
`x_(2)=(-\left(-60\right)-48)/(2\cdot \:36)\\\\x_(2) =(60-48)/(2\cdot \:36)\\\\x_(2)=(12)/(2\cdot \:36)\\\\\x_(2)=(12)/(72)\\\\x_(2)=(1)/(6)`