What is the answer to (sqrt(x)-2)(sqrt(2x)-3)=0 ?

The answer to (sqrt(x)-2)(sqrt(2x)-3)=0 is x=4,x= 9/2

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(sqrt(x)-2)(sqrt(2x)-3)=0

(x - 2) (2 x - 3) = 0

x = 4, x = \frac{9}{2}

Decimal Notation

x = 4, x = 4.5

Solution steps

(x - 2) (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or 2 x - 3 = 0

Solve

x - 2 = 0 : x = 4

Solve

2 x - 3 = 0 : x = \frac{9}{2}

x = 4, x = \frac{9}{2}

Verify Solutions:

x = 4

True

, x = \frac{9}{2}

True

The solutions are

x = 4, x = \frac{9}{2}

51.45 = x^{2} + 3 5^{2}

x, f x = x

3 16 - m = 15

2 x + 13 - 5 = x

x, 5 x + 5 = 0

What is the answer to (sqrt(x)-2)(sqrt(2x)-3)=0 ?
The answer to (sqrt(x)-2)(sqrt(2x)-3)=0 is x=4,x= 9/2
Solve for x: (sqrt(x)-2)(sqrt(2x)-3)=0
The solution is x=4,x= 9/2