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

The answer to x^2=3-sqrt(2x^2-3) is x=sqrt(2),x=-sqrt(2)

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

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

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Popular >

x^{2} = 3 - 2 x^{2} - 3

x = 2, x = - 2

Decimal Notation

x = 1.41421 \dots, x = - 1.41421 \dots

Solution steps

x^{2} = 3 - 2 x^{2} - 3

Remove square roots

x^{4} - 6 x^{2} + 9 = 2 x^{2} - 3

Solve

x^{4} - 6 x^{2} + 9 = 2 x^{2} - 3 : x = 6, x = - 6, x = 2, x = - 2

x = 6, x = - 6, x = 2, x = - 2

Verify Solutions:

x = 6

False

, x = - 6

False

, x = 2

True

, x = - 2

True

The solutions are

x = 2, x = - 2

x^{2} - 6 x + 18 = 5

2 x + x = 8

1 + x = 2

3 = 4 x - 19

2 x - 5 - 1 = 2

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