Question

the solution set of the equation( x-3)2=9 is​

Answer 1

Answer:

(x - 3)2 = 9

2x - 6 = 9

2x = 15

x = 7.5

Answer 2

Concept

The polynomial equations of degree two in one variable of type ax² + bx + c = 0 and with a, b, c are real numbers and a is non zero are referred to as quadratic equations.

Given

The given equation is (x - 3)² = 9.

Find

We have to determine the solution set for the given equation (x - 3)² = 9.

Solution

Here, (x - 3)² = 9

i.e. x - 3 = √9 = ± 3

i.e. either x - 3 = 3 or x - 3 = - 3

i.e. either x = 3 + 3 = 6 or x = - 3 + 3 = 0

So, x = 0, 6

Therefore, the solution set of the given equation is {0, 6}.

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