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Popular >

sqrt(z^2+8)=1-2z

Solution

z^{2} + 8 = 1 - 2 z

Solution

z = - 1

Solution steps

z^{2} + 8 = 1 - 2 z

Square both sides:

z^{2} + 8 = 1 - 4 z + 4 z^{2}

z^{2} + 8 = 1 - 4 z + 4 z^{2}

Solve

z^{2} + 8 = 1 - 4 z + 4 z^{2} : z = \frac{7}{3}, z = - 1

z = \frac{7}{3}, z = - 1

Verify Solutions:

z = \frac{7}{3}

False

, z = - 1

True

The solution is

z = - 1

Popular Examples

sqrt(x^2-4x+4)=0

x^{2} - 4 x + 4 = 0

9 - 8 x = x

sqrt(6x+12)-sqrt(4x+9)=1

6 x + 12 - 4 x + 9 = 1

sqrt(x-3)+1=sqrt(x)

x - 3 + 1 = x

2+(sqrt(x^2-9))/(x-4)=0

2 + \frac{x ^{2} - 9}{x - 4} = 0

Frequently Asked Questions (FAQ)

What is the answer to sqrt(z^2+8)=1-2z ?
The answer to sqrt(z^2+8)=1-2z is z=-1
Solve for z: sqrt(z^2+8)=1-2z
The solution is z=-1