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Find the solution of the equation: x2 = 30 -13x

1 Answer

3 votes

x^2=30-13x\ \ \ |+13x-30\\\\x^2+13x-30=0\\\\x^2+15x-2x-30=0\\\\x(x+15)-2(x+15)=0\\\\(x+15)(x-2)=0\iff x+15=0\ \vee\ x-2=0\\\\\boxed{x=-15\ \vee\ x=2}
User Zabop
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