What is the answer to sqrt(4x^2-12x+9)=2x-3 ?

The answer to sqrt(4x^2-12x+9)=2x-3 is x>= 3/2

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sqrt(4x^2-12x+9)=2x-3

4 x^{2} - 12 x + 9 = 2 x - 3

x \geq \frac{3}{2}

Solution steps

4 x^{2} - 12 x + 9 = 2 x - 3

Square both sides:

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

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

Both sides are equal

True for all x

Verify Solutions:

x < \frac{3}{2}

False

, x = \frac{3}{2}

True

, x > \frac{3}{2}

True

The solution is

x \geq \frac{3}{2}

x - 4 + 2 = x + 12

7 x + 5 = 4

x, x^{2} + x + 1 = z - 4

y, \frac{s}{t} = v^{2} - y^{2}

x + 4 - x^{2} + 5 x + 4 = 0

What is the answer to sqrt(4x^2-12x+9)=2x-3 ?
The answer to sqrt(4x^2-12x+9)=2x-3 is x>= 3/2
Solve for x: sqrt(4x^2-12x+9)=2x-3
The solution is x>= 3/2