What is the answer to (3-sqrt(x))(3+sqrt(x))=7 ?

The answer to (3-sqrt(x))(3+sqrt(x))=7 is x=2

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(3-sqrt(x))(3+sqrt(x))=7

(3 - x) (3 + x) = 7

x = 2

Solution steps

(3 - x) (3 + x) = 7

Move

7

to the left side

- (x)^{2} + 2 = 0

Factor

- (x)^{2} + 2 : - (x + 2) (x - 2)

- (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x - 2 = 0

Solve

x + 2 = 0 :

No Solution for

x \in R

Solve

x - 2 = 0 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

2 x + 4 - x - 3 = 2

(2 x - 3) = 5

37620 = 12540 0.5 x + 1

x + 7 x + 2 = 0

What is the answer to (3-sqrt(x))(3+sqrt(x))=7 ?
The answer to (3-sqrt(x))(3+sqrt(x))=7 is x=2
Solve for x: (3-sqrt(x))(3+sqrt(x))=7
The solution is x=2