What is the answer to b=sqrt(4x^2-12x+9)+2x-1 ?

The answer to b=sqrt(4x^2-12x+9)+2x-1 is x=(b+4)/4 {b>= 2}

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b=sqrt(4x^2-12x+9)+2x-1

b = 4 x^{2} - 12 x + 9 + 2 x - 1

x = \frac{b + 4}{4} {b \geq 2}

Solution steps

b = 4 x^{2} - 12 x + 9 + 2 x - 1

Remove square roots

- 4 b x + 4 x^{2} - 4 x + b^{2} + 2 b + 1 = 4 x^{2} - 12 x + 9

Solve

- 4 b x + 4 x^{2} - 4 x + b^{2} + 2 b + 1 = 4 x^{2} - 12 x + 9 : x = \frac{b + 4}{4}

x = \frac{b + 4}{4}

Verify Solutions:

x = \frac{b + 4}{4} {b \geq 2}

The solution is

x = \frac{b + 4}{4} {b \geq 2}

2 u^{\frac{- 3}{4}} = \frac{1}{3}

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

x - 1 + 2 x - 2 = 2

256 16 + x = 16

- 4 x + 8 = 2 x

What is the answer to b=sqrt(4x^2-12x+9)+2x-1 ?
The answer to b=sqrt(4x^2-12x+9)+2x-1 is x=(b+4)/4 {b>= 2}