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Zolol [24]
3 years ago
11

What is the solution to ther equation 2(x-4)squared=50

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

x=9                   x=-1

Step-by-step explanation:

2(x-4)^2=50

Divide each side by 2

2/2(x-4)^2=50/2

(x-4)^2=25

Take the square root of each side

sqrt((x-4)^2)=sqrt(25)

x-4 = ±5

x-4 =5            x-4 = -5

Add 4 to each side

x-4+4=5+4    x-4+4 = -5+4

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Heres another math problem
MrRissso [65]

Answer:

\therefore x=50\°

Step-by-step explanation:

Let the angle between 2x and 150° be = b°

150\°+b\°=180\° [ Forming a linear pair of angles]

Solving for b by subtracting both sides by 150.

150+b-150=180-150

∴ b=30\°

50\°+2x+b\°=180\°\\ [Angle lying on a straight line add up to 180]

Plugging in b=30\°

50+2x+30=180\\2x+80=180

Solving for x by

subtracting both sides by 80.

2x+80-80=180-80\\2x=100

then dividing both sides by 2.

\frac{2x}{2}=\frac{100}{2}\\\\\therefore x=50\°

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