What are the solutions to the equation x^2-4a^2-b^2=4ab ?

The solutions to the equation x^2-4a^2-b^2=4ab are x=2a+b,x=-2a-b

Find the zeros of x^2-4a^2-b^2=4ab

The zeros of x^2-4a^2-b^2=4ab are x=2a+b,x=-2a-b

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x^{2} - 4 a^{2} - b^{2} = 4 ab

x = 2 a + b, x = - 2 a - b

Solution steps

x^{2} - 4 a^{2} - b^{2} = 4 ab

Move

4 a^{2}

to the right side

x^{2} - b^{2} = 4 ab + 4 a^{2}

Move

b^{2}

to the right side

x^{2} = 4 ab + 4 a^{2} + b^{2}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = 4 ab + 4 a^{2} + b^{2}, x = - 4 ab + 4 a^{2} + b^{2}

Simplify

4 ab + 4 a^{2} + b^{2} : 2 a + b

Simplify

- 4 ab + 4 a^{2} + b^{2} : - 2 a - b

x = 2 a + b, x = - 2 a - b

m x^{2} - 2 (m + 1) x + 2 m = 0

(2 x + 5)^{2} = 16

x^{2} + 6 x + 20 = - \frac{1}{2} x^{2} - 4 x + 196

- 4 x^{2} - 4 = 0

25 x^{2} + 5 = 0

What are the solutions to the equation x^2-4a^2-b^2=4ab ?
The solutions to the equation x^2-4a^2-b^2=4ab are x=2a+b,x=-2a-b
Find the zeros of x^2-4a^2-b^2=4ab
The zeros of x^2-4a^2-b^2=4ab are x=2a+b,x=-2a-b