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Popular >

a=sqrt(x^2)-1

Solution

a = x^{2} - 1

Solution

x = a + 1 {a \geq - 1}, x = - a - 1 {a \geq - 1}

Solution steps

a = x^{2} - 1

Switch sides

x^{2} - 1 = a

Move

1

to the right side

x^{2} = a + 1

Square both sides:

x^{2} = a^{2} + 2 a + 1

x^{2} = a^{2} + 2 a + 1

Solve

x^{2} = a^{2} + 2 a + 1 : x = a + 1, x = - a - 1

x = a + 1, x = - a - 1

Verify Solutions:

x = a + 1 {a \geq - 1}, x = - a - 1 {a \geq - 1}

The solutions are

x = a + 1 {a \geq - 1}, x = - a - 1 {a \geq - 1}

Popular Examples

-1=sqrt((-2)^2+(-2)+c_{1)}

- 1 = (- 2)^{2} + (- 2) + c_{1}

sqrt(x-1)=3x-13

x - 1 = 3 x - 13

sqrt(1+x\sqrt{x^2+24)}=x+1

1 + x x^{2} + 24 = x + 1

3 = x^{\frac{1}{3}}

solvefor y,x=sqrt(81-y^2)solve for

y, x = 81 - y^{2}

Frequently Asked Questions (FAQ)

What is the answer to a=sqrt(x^2)-1 ?
The answer to a=sqrt(x^2)-1 is x=a+1 {a>=-1},x=-a-1 {a>=-1}