What are the solutions to the equation solvefor a,a^2+a=b^2+b ?

The solutions to the equation solvefor a,a^2+a=b^2+b are a=b,a=-b-1

Find the zeros of solvefor a,a^2+a=b^2+b

The zeros of solvefor a,a^2+a=b^2+b are a=b,a=-b-1

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solve for

a, a^{2} + a = b^{2} + b

a = b, a = - b - 1

Solution steps

a^{2} + a = b^{2} + b

Move

b

to the left side

a^{2} + a - b = b^{2}

Move

b^{2}

to the left side

a^{2} + a - b - b^{2} = 0

Factor

a^{2} + a - b - b^{2} : (a - b) (a + b + 1)

(a - b) (a + b + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a - b = 0 or a + b + 1 = 0

Solve

a - b = 0 : a = b

Solve

a + b + 1 = 0 : a = - b - 1

The solutions to the quadratic equation are:

a = b, a = - b - 1

9 x - x^{2} - 14 = 0

x^{2} + 5 = 17

x^{2} + 5 = 41

a^{2} = 36

a^{2} = - 4

What are the solutions to the equation solvefor a,a^2+a=b^2+b ?
The solutions to the equation solvefor a,a^2+a=b^2+b are a=b,a=-b-1
Find the zeros of solvefor a,a^2+a=b^2+b
The zeros of solvefor a,a^2+a=b^2+b are a=b,a=-b-1