What is the answer to sqrt(4x-3)\times sqrt(3x-5)=3x-1 ?

The answer to sqrt(4x-3)\times sqrt(3x-5)=3x-1 is x=7

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sqrt(4x-3)\times sqrt(3x-5)=3x-1

4 x - 3 \cdot 3 x - 5 = 3 x - 1

x = 7

Solution steps

4 x - 3 3 x - 5 = 3 x - 1

Square both sides:

12 x^{2} - 29 x + 15 = 9 x^{2} - 6 x + 1

12 x^{2} - 29 x + 15 = 9 x^{2} - 6 x + 1

Solve

12 x^{2} - 29 x + 15 = 9 x^{2} - 6 x + 1 : x = 7, x = \frac{2}{3}

x = 7, x = \frac{2}{3}

Verify Solutions:

x = 7

True

, x = \frac{2}{3}

False

The solution is

x = 7

2 x + 3 - x - 2 = x + 1

\frac{9 - 2 x ^{2}}{9 - x ^{2}} = 0

2 x = x + 5 - 1

4 x - 9 = 2 x - 4

What is the answer to sqrt(4x-3)\times sqrt(3x-5)=3x-1 ?
The answer to sqrt(4x-3)\times sqrt(3x-5)=3x-1 is x=7
Solve for x: sqrt(4x-3)\times sqrt(3x-5)=3x-1
The solution is x=7