Question

Answer 1

`c)(2x-1)^2+1=26`

`(2x-1)^2=25`

`(2x-1)^2=5^2` hoặc `(2x-1)^2=(-5)^2`

`2x-1=5`  hoặc `2x-1=-5`

`2x=6`    hoặc `2x=-4`

`x=3`    hoặc `x=-2`

_______________________________________________

`d)19-2(x-7)^3=17`

`2(x-7)^3=2`

`(x-7)^3=1`

`(x-7)^3=1^3`

`x-7=1`

`x=8`

Answer 2

`(2x+1)^2+1=26`

`(2x+1)^2=26-1`

`(2x+1)^2=25`

`=> (2x+1)^2`\(=\left(\pm5\right)\)

`@TH1:`

`2x-1=5`

`2x=5+1`

`2x=6`

`x=6:2`

`x=3`

`@TH2:`

`2x-1=-5`

`2x=-5+1`

`2x=-4`

`x=-4:2`

`x=-2`

__________________________________

`19-2.(x-7)^3=17`

`2.(x-7)^3=19-17`

`2.(x-7)^3=2`

`(x-7)^3=2:2`

`(x-7)^3=1`

`(x-7)^3=1^3`

`x-7=1`

`x=1+7`

`x=8`