What are the solutions to the equation 6x^2-54=5x^2+171 ?

The solutions to the equation 6x^2-54=5x^2+171 are x=15,x=-15

Find the zeros of 6x^2-54=5x^2+171

The zeros of 6x^2-54=5x^2+171 are x=15,x=-15

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6 x^{2} - 54 = 5 x^{2} + 171

x = 15, x = - 15

Solution steps

6 x^{2} - 54 = 5 x^{2} + 171

Move

54

to the right side

6 x^{2} = 5 x^{2} + 225

Move

5 x^{2}

to the left side

x^{2} = 225

For

x^{2} = f (a)

the solutions are

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

x = 225, x = - 225

225 = 15

- 225 = - 15

x = 15, x = - 15

x^{2} - 6 x + 9

x^{2} + x - 6 = 24

x^{2} + 9 + 20 = 0

(x - 6) (x - 3) = 0

24 - 6 x^{2} = 0

What are the solutions to the equation 6x^2-54=5x^2+171 ?
The solutions to the equation 6x^2-54=5x^2+171 are x=15,x=-15
Find the zeros of 6x^2-54=5x^2+171
The zeros of 6x^2-54=5x^2+171 are x=15,x=-15