Question

3(x-2)square=507,then x can be

Answer 1

(x-2)²=507/3
(x-2)²=169
x-2=13
x=15

Answer 2

Given,

3(x-2)² = 507

To find,

The value of x.

Solution,

Mathematically, the given equation can be represented as-

⇒ 3(x-2)² = 507.

⇒ (x-2)² = 507/3

⇒ (x-2)² = 169

⇒ x²-4x+4=169

⇒ x²-4x+4-169=0

⇒ x²-4x-165=0

Now, we will find descriminant,

⇒ D = b²-4ac

⇒ D = (-4)²-4(1)(-165)

⇒ D = 16+660

⇒ D = 676.

The roots of the equation can be founded as-

⇒  x = (-b+√D)/2a and x = (-b-√D)/2a

⇒  x = (-(-4)+√676)/2(1) and x = (-(-4)-√676)/2(1).

⇒  x = (4+26)/2 and x = (4-26)/2

⇒  x = 15 and -11.

Hence, the value of x are 15 and -11.