Question

A) \(\dfrac{3}{2}\) X\(^2\)-\(\dfrac{1}{4}\)=\(\dfrac{23}{4}\)

B)(X-3)\(^3\)=-8

Answer 1

a: =>3/2x^2=6

=>x^2=9

=>x=3 hoặc x=-3

b: =>x-3=-2

=>x=1

Answer 2

`[` Đáp án `+` Giải thích các bước giải `]`

`a) 3/2 x^2 - 1/4 = 23/4`

`=> 3/2 x^2 = 23/4 + 1/4`

`=> 3/2 x^2 =6`

`=> x^2 = 6 : 3/2`

`=> x^2= 6 xx 2/3`

`=> x^2=4`

`=> x= +- 2`

`b) (x-3)^3=-8`

`=>  (x-3)^3= (-2)^3`

`=> x-3=-2`

`=> x= -2+3`

`=>x=1`

 

Answer 3

a) \(\dfrac{3}{2}x^2 - 1/4 = \dfrac{23}{4}\) 

\(\dfrac{3}{2}x^2=\dfrac{23}{4}+\dfrac{1}{4}\)

\(\dfrac{3}{2}x^2=6\)

\(x^2= 6:\dfrac{3}{2}\)

\(x^2=9\)

\(x^2=3^2 \)

\(x=3\)

b)(x - 3)³ = - 8

<=> (x - 3)³ = - 2³

<=> x - 3 = - 2

<=> x = - 2 + 3

<=> x = 1