# Solve the quadratic equation : 6x = 9 + x^2

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The quadratic equation 6x = 9 + x^2 has to be solved.

6x = 9 + x^2

=> x^2 - 6x + 9 = 0

The solution of the equation is `(6 +- sqrt(36 - 36))/2 = 3`

**The quadratic equation has two equal roots, the solution is 3.**

`6x=9+x^2`

`x^2-6x+9=0`

`(x-3)^2=0`

`x_1=x_2=3`