What is the answer to x^2-6x+9=4sqrt(x^2-6x+6) ?

The answer to x^2-6x+9=4sqrt(x^2-6x+6) is x=1,x=5,x=3+2sqrt(3),x=3-2sqrt(3)

Solve for x: x^2-6x+9=4sqrt(x^2-6x+6)

The solution is x=1,x=5,x=3+2sqrt(3),x=3-2sqrt(3)

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Popular >

x^{2} - 6 x + 9 = 4 x^{2} - 6 x + 6

x = 1, x = 5, x = 3 + 23, x = 3 - 23

Decimal Notation

x = 1, x = 5, x = 6.46410 \dots, x = - 0.46410 \dots

Solution steps

x^{2} - 6 x + 9 = 4 x^{2} - 6 x + 6

Square both sides:

x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81 = 16 x^{2} - 96 x + 96

x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81 = 16 x^{2} - 96 x + 96

Solve

x^{4} - 12 x^{3} + 54 x^{2} - 108 x + 81 = 16 x^{2} - 96 x + 96 : x = 1, x = 5, x = 3 + 23, x = 3 - 23

x = 1, x = 5, x = 3 + 23, x = 3 - 23

Verify Solutions:

x = 1

True

, x = 5

True

, x = 3 + 23

True

, x = 3 - 23

True

The solutions are

x = 1, x = 5, x = 3 + 23, x = 3 - 23

8 = x^{\frac{3}{2}}

5 x + 4 + 2 = x

6 (x + 6)^{\frac{2}{3}} = 54

3 x - 8 = x - 4

2 x - 6 = 10

What is the answer to x^2-6x+9=4sqrt(x^2-6x+6) ?
The answer to x^2-6x+9=4sqrt(x^2-6x+6) is x=1,x=5,x=3+2sqrt(3),x=3-2sqrt(3)
Solve for x: x^2-6x+9=4sqrt(x^2-6x+6)
The solution is x=1,x=5,x=3+2sqrt(3),x=3-2sqrt(3)