What is the answer to sqrt(x^2+0.5x^2)=6 ?

The answer to sqrt(x^2+0.5x^2)=6 is x=2sqrt(6),x=-2sqrt(6)

Solve for x: sqrt(x^2+0.5x^2)=6

The solution is x=2sqrt(6),x=-2sqrt(6)

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x^{2} + 0.5 x^{2} = 6

x = 26, x = - 26

Decimal Notation

x = 4.89897 \dots, x = - 4.89897 \dots

Solution steps

x^{2} + 0.5 x^{2} = 6

Square both sides:

1.5 x^{2} = 36

1.5 x^{2} = 36

Solve

1.5 x^{2} = 36 : x = 26, x = - 26

x = 26, x = - 26

Verify Solutions:

x = 26

True

, x = - 26

True

The solutions are

x = 26, x = - 26

x + 1 = x + 1

40 + 3 x = x

2 x - 15 = \frac{x}{4}

\frac{8}{8 - 4 x} = 0

4 = x

What is the answer to sqrt(x^2+0.5x^2)=6 ?
The answer to sqrt(x^2+0.5x^2)=6 is x=2sqrt(6),x=-2sqrt(6)
Solve for x: sqrt(x^2+0.5x^2)=6
The solution is x=2sqrt(6),x=-2sqrt(6)