What is the answer to 2xsqrt(4-x)-3sqrt(4-x)=0 ?

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

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2xsqrt(4-x)-3sqrt(4-x)=0

2 x 4 - x - 3 4 - x = 0

x = 4, x = \frac{3}{2}

Decimal Notation

x = 4, x = 1.5

Solution steps

2 x 4 - x - 3 4 - x = 0

Factor

2 x 4 - x - 3 4 - x : 4 - x (2 x - 3)

4 - x (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

4 - x = 0 : x = 4

Solve

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

x = 4, x = \frac{3}{2}

Verify Solutions:

x = 4

True

, x = \frac{3}{2}

True

The solutions are

x = 4, x = \frac{3}{2}

7 = m + 3

2 = (1 + x)^{1.5}

(x - 2)^{\frac{1}{2}} + 4 = x

a - 2 = 3 a - 26

2 x + x + 14 = 8

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