What are the solutions to the equation a^2x^2+abx=6b^2 ?

The solutions to the equation a^2x^2+abx=6b^2 are x=(2b)/a ,x=-(3b)/a ;\quad a\ne 0

Find the zeros of a^2x^2+abx=6b^2

The zeros of a^2x^2+abx=6b^2 are x=(2b)/a ,x=-(3b)/a ;\quad a\ne 0

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a^{2} x^{2} + ab x = 6 b^{2}

x = \frac{2 b}{a}, x = - \frac{3 b}{a}; a \neq = 0

Solution steps

a^{2} x^{2} + ab x = 6 b^{2}

Move

6 b^{2}

to the left side

a^{2} x^{2} + ab x - 6 b^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ab \pm ( ab ) ^{2} - 4 a ^{2} ( - 6 b ^{2} )}{2 a ^{2}}

Simplify

(ab)^{2} - 4 a^{2} (- 6 b^{2}) : 5 ab

x_{1, 2} = \frac{- ab \pm 5 ab}{2 a ^{2}}; a \neq = 0

Separate the solutions

x_{1} = \frac{- ab + 5 ab}{2 a ^{2}}, x_{2} = \frac{- ab - 5 ab}{2 a ^{2}}

x = \frac{- ab + 5 ab}{2 a ^{2}} : \frac{2 b}{a}

x = \frac{- ab - 5 ab}{2 a ^{2}} : - \frac{3 b}{a}

The solutions to the quadratic equation are:

x = \frac{2 b}{a}, x = - \frac{3 b}{a}; a \neq = 0

6 t^{2} - 2 t + 2 = 4 t + t

4 x^{2} + 2 x - 5 = 0

x^{2} + 40 x + 2000 = 0

176 x = 121 + 64 x^{2}

3 x^{2} - 300 = 0

What are the solutions to the equation a^2x^2+abx=6b^2 ?
The solutions to the equation a^2x^2+abx=6b^2 are x=(2b)/a ,x=-(3b)/a ;\quad a\ne 0
Find the zeros of a^2x^2+abx=6b^2
The zeros of a^2x^2+abx=6b^2 are x=(2b)/a ,x=-(3b)/a ;\quad a\ne 0