Solve each equation for x.
a. x−10=0
b. x/2+20=0
c. Demanding Dwight insists that you give him two solutions to the following equation:
(x−10)(x/2+20)=0
Can you provide him with two solutions?

Respuesta :

Answer:

a) x = 10

b) x = -40

c) x = 10, -40

Step-by-step explanation:

a)

[tex]x-10=0[/tex]

Taking 10 to the right hand side 10 becomes positive

[tex]\\\Rightarrow x=10[/tex]

So x = 10

b)

[tex]\frac{x}{2}+20=0[/tex]

Taking 20 to the right hand side 20 becomes negative

[tex]\frac{x}{2}=-20[/tex]

Multiplying both sides by 2

[tex]x=-40[/tex]

So, x = -40

c)

[tex](x-10)(\frac{x}{2}+20)=0\\\Rightarrow x-10=0, \frac{x}{2}+20=0\\\Rightarrow x=10, \frac{x}{2}=-20\\\Rightarrow x=10, x=-40[/tex]

Hence, x = 10, -40

So, two solutions can be provided