What are the solutions to the equation M=x^2a+x^2b ?

The solutions to the equation M=x^2a+x^2b are x=sqrt(M/(a+b)),x=-sqrt(M/(a+b));\quad a+b\ne 0

Find the zeros of M=x^2a+x^2b

The zeros of M=x^2a+x^2b are x=sqrt(M/(a+b)),x=-sqrt(M/(a+b));\quad a+b\ne 0

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

x = \frac{M}{a + b}, x = - \frac{M}{a + b}; a + b \neq = 0

Solution steps

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

Switch sides

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

Factor

x^{2} a + x^{2} b : x^{2} (a + b)

x^{2} (a + b) = M

Divide both sides by

a + b; a + b \neq = 0

x^{2} = \frac{M}{a + b}; a + b \neq = 0

For

x^{2} = f (a)

the solutions are

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

x = \frac{M}{a + b}, x = - \frac{M}{a + b}; a + b \neq = 0

(2 x)^{2} = 2 x^{2}

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

x^{2} + 2 - 3 x = 0

x^{2} + 6 x - 6

(x - 1) (2 x + 7) = 0

What are the solutions to the equation M=x^2a+x^2b ?
The solutions to the equation M=x^2a+x^2b are x=sqrt(M/(a+b)),x=-sqrt(M/(a+b));\quad a+b\ne 0
Find the zeros of M=x^2a+x^2b
The zeros of M=x^2a+x^2b are x=sqrt(M/(a+b)),x=-sqrt(M/(a+b));\quad a+b\ne 0