What is the answer to x-6x^{1/2}+2=0 ?

The answer to x-6x^{1/2}+2=0 is x=2(8+3*7^{1/2}),x=2(8-3*7^{1/2})

Solve for x: x-6x^{1/2}+2=0

The solution is x=2(8+3*7^{1/2}),x=2(8-3*7^{1/2})

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x - 6 x^{\frac{1}{2}} + 2 = 0

x = 2 (8 + 3 \cdot 7^{\frac{1}{2}}), x = 2 (8 - 3 \cdot 7^{\frac{1}{2}})

Decimal Notation

x = 31.87450 \dots, x = 0.12549 \dots

Solution steps

x - 6 x^{\frac{1}{2}} + 2 = 0

Remove square roots

36 x = x^{2} + 4 x + 4

Solve

36 x = x^{2} + 4 x + 4 : x = 2 (8 + 3 \cdot 7^{\frac{1}{2}}), x = 2 (8 - 3 \cdot 7^{\frac{1}{2}})

x = 2 (8 + 3 \cdot 7^{\frac{1}{2}}), x = 2 (8 - 3 \cdot 7^{\frac{1}{2}})

Verify Solutions:

x = 2 (8 + 3 \cdot 7^{\frac{1}{2}})

True

, x = 2 (8 - 3 \cdot 7^{\frac{1}{2}})

True

The solutions are

x = 2 (8 + 3 \cdot 7^{\frac{1}{2}}), x = 2 (8 - 3 \cdot 7^{\frac{1}{2}})

(x - 3)^{\frac{5}{2}} = 243

- 1 - x = 1 + x

x = 2 x 64 - x^{2}

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

x - 7 = 17 x + 49

What is the answer to x-6x^{1/2}+2=0 ?
The answer to x-6x^{1/2}+2=0 is x=2(8+3*7^{1/2}),x=2(8-3*7^{1/2})
Solve for x: x-6x^{1/2}+2=0
The solution is x=2(8+3*7^{1/2}),x=2(8-3*7^{1/2})