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

The answer to 4sqrt(x)=2x-3 is x=(7+2sqrt(10))/2

Solve for x: 4sqrt(x)=2x-3

The solution is x=(7+2sqrt(10))/2

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4 x = 2 x - 3

x = \frac{7 + 2 10}{2}

Decimal Notation

x = 6.66227 \dots

Solution steps

4 x = 2 x - 3

Square both sides:

16 x = 4 x^{2} - 12 x + 9

16 x = 4 x^{2} - 12 x + 9

Solve

16 x = 4 x^{2} - 12 x + 9 : x = \frac{7 + 2 10}{2}, x = \frac{7 - 2 10}{2}

x = \frac{7 + 2 10}{2}, x = \frac{7 - 2 10}{2}

Verify Solutions:

x = \frac{7 + 2 10}{2}

True

, x = \frac{7 - 2 10}{2}

False

The solution is

x = \frac{7 + 2 10}{2}

5 x - 2 = x + 9

3 = 12 x - 36 \cdot x^{2} + 9

x - 4 x - 20 = 20

x^{3} = 80

What is the answer to 4sqrt(x)=2x-3 ?
The answer to 4sqrt(x)=2x-3 is x=(7+2sqrt(10))/2
Solve for x: 4sqrt(x)=2x-3
The solution is x=(7+2sqrt(10))/2