Proofs and Solutions
... even, because any integer divisible by both 2 and 3 must be divisible by 6 (if you’re skeptical, come see me and I’ll show you why that’s true). So our goal is to prove n3 + 5n is even for all natural numbers n. We could do this by induction, but just to mix it up, we’ll prove it by considering two ...
... even, because any integer divisible by both 2 and 3 must be divisible by 6 (if you’re skeptical, come see me and I’ll show you why that’s true). So our goal is to prove n3 + 5n is even for all natural numbers n. We could do this by induction, but just to mix it up, we’ll prove it by considering two ...
What is a quadratic equation? A Quadratic equation is a statement
... Therefore if D = 0, the root of the quadratic equation is exactly the vertex. If D > 0 and A > 0, that means the minimum point is below x-axis and the parabola is opened upwards, then there must be two real roots. Similarly, If D > 0 and A < 0, that means the maximum point is above x-axis and the pa ...
... Therefore if D = 0, the root of the quadratic equation is exactly the vertex. If D > 0 and A > 0, that means the minimum point is below x-axis and the parabola is opened upwards, then there must be two real roots. Similarly, If D > 0 and A < 0, that means the maximum point is above x-axis and the pa ...
