What is the answer to sqrt(3x-7)=x-2 ?

The answer to sqrt(3x-7)=x-2 is x=(7+sqrt(5))/2 ,x=(7-sqrt(5))/2

Solve for x: sqrt(3x-7)=x-2

The solution is x=(7+sqrt(5))/2 ,x=(7-sqrt(5))/2

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3 x - 7 = x - 2

x = \frac{7 + 5}{2}, x = \frac{7 - 5}{2}

Decimal Notation

x = 4.61803 \dots, x = 2.38196 \dots

Solution steps

3 x - 7 = x - 2

Square both sides:

3 x - 7 = x^{2} - 4 x + 4

3 x - 7 = x^{2} - 4 x + 4

Solve

3 x - 7 = x^{2} - 4 x + 4 : x = \frac{7 + 5}{2}, x = \frac{7 - 5}{2}

x = \frac{7 + 5}{2}, x = \frac{7 - 5}{2}

Verify Solutions:

x = \frac{7 + 5}{2}

True

, x = \frac{7 - 5}{2}

True

The solutions are

x = \frac{7 + 5}{2}, x = \frac{7 - 5}{2}

k, w = \frac{k}{m}

r + 6 = r + 8

x, x - 4 = 3

2 x + 3 x^{3} + 2 x = 30

3 x + 4 = x - 2

What is the answer to sqrt(3x-7)=x-2 ?
The answer to sqrt(3x-7)=x-2 is x=(7+sqrt(5))/2 ,x=(7-sqrt(5))/2
Solve for x: sqrt(3x-7)=x-2
The solution is x=(7+sqrt(5))/2 ,x=(7-sqrt(5))/2