What is the answer to x^4-1=sqrt(25x^2) ?

The answer to x^4-1=sqrt(25x^2) is x=sqrt((3.14009E15)/(1.0E15)),x=-sqrt((3.14009E15)/(1.0E15))

Solve for x: x^4-1=sqrt(25x^2)

The solution is x=sqrt((3.14009E15)/(1.0E15)),x=-sqrt((3.14009E15)/(1.0E15))

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x^{4} - 1 = 25 x^{2}

x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

Decimal Notation

x = 1.77202 \dots, x = - 1.77202 \dots

Solution steps

x^{4} - 1 = 25 x^{2}

Square both sides:

x^{8} - 2 x^{4} + 1 = 25 x^{2}

x^{8} - 2 x^{4} + 1 = 25 x^{2}

Solve

x^{8} - 2 x^{4} + 1 = 25 x^{2} : x = \frac{4.98411 E 15}{1.25 E 17}, x = - \frac{4.98411 E 15}{1.25 E 17}, x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

x = \frac{4.98411 E 15}{1.25 E 17}, x = - \frac{4.98411 E 15}{1.25 E 17}, x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

Verify Solutions:

x = \frac{4.98411 E 15}{1.25 E 17}

False

, x = - \frac{4.98411 E 15}{1.25 E 17}

False

, x = \frac{3.14009 E 15}{1.0 E 15}

True

, x = - \frac{3.14009 E 15}{1.0 E 15}

True

The solutions are

x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

x (6 - 2 x^{0.5}) + 2 = 0

1 = 1 b^{2.5}

x + x + x - 1 = 6

x - 4 = 5

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

What is the answer to x^4-1=sqrt(25x^2) ?
The answer to x^4-1=sqrt(25x^2) is x=sqrt((3.14009E15)/(1.0E15)),x=-sqrt((3.14009E15)/(1.0E15))
Solve for x: x^4-1=sqrt(25x^2)
The solution is x=sqrt((3.14009E15)/(1.0E15)),x=-sqrt((3.14009E15)/(1.0E15))