Find all solutions of x^2-x-6 using the quadratic formula

From the given quadratic, we have a=1, b=-1, and c=-6. We substitute these values into the quadratic formula, x=-b+-sqrt(b^2-4ac)/2a, giving us x=-1+-sqrt(-1^2-41-6)/2*1. This simplifies to x=1+-5/2. Keeping the positive sign we get x=1+5/2 which means x=3. Or we keep the negative sign and get x=1-5/2, which gives x=-2. So the solutions are x=3 or x=-2.

Answered by Jack H. Maths tutor

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