What are the solutions to the equation factor a^2x^2-2ax-3=0 ?

The solutions to the equation factor a^2x^2-2ax-3=0 are x=-1/a ,x= 3/a ;\quad a\ne 0

Find the zeros of factor a^2x^2-2ax-3=0

The zeros of factor a^2x^2-2ax-3=0 are x=-1/a ,x= 3/a ;\quad a\ne 0

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

x = - \frac{1}{a}, x = \frac{3}{a}; a \neq = 0

Solution steps

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

Factor

a^{2} x^{2} - 2 a x - 3 : (x a + 1) (x a - 3)

(x a + 1) (x a - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x a + 1 = 0 or x a - 3 = 0

Solve

x a + 1 = 0 : x = - \frac{1}{a}; a \neq = 0

Solve

x a - 3 = 0 : x = \frac{3}{a}; a \neq = 0

The solutions to the quadratic equation are:

x = - \frac{1}{a}, x = \frac{3}{a}; a \neq = 0

y (\frac{1 + y}{2 - k}) = a

\frac{( x + 2 ) ^{2}}{5} + \frac{( x + 2 ) ^{2}}{3} = \frac{16}{3}

0.000006 x^{2} - 0.02 x + 25 = 10 - 0.04 x

6 p^{2} - 10 = - 57

0 = - 20 x^{2} + 360 x + 1000

What are the solutions to the equation factor a^2x^2-2ax-3=0 ?
The solutions to the equation factor a^2x^2-2ax-3=0 are x=-1/a ,x= 3/a ;\quad a\ne 0
Find the zeros of factor a^2x^2-2ax-3=0
The zeros of factor a^2x^2-2ax-3=0 are x=-1/a ,x= 3/a ;\quad a\ne 0