Which two consecutive even numbers multiply to give 2024?​

Answer:x = -46, 44Step-by-step explanation:Given that 2 consecutive even numbers multiply to have a product of 2024, let's make the base number x, and the number consecutive to it x + 2. That means the statement is:[tex](x)(x+2)=2024\\x^2 + 2x = 2024\\x^2 + 2x - 2024 = 0[/tex]The best way to approach this is by factoring:Find two numbers that sum up to 2, and multiply to -2024There are only 2 numbers that make this possible: 46 and -44We can now rewrite the equation as: [tex](x+46)(x-44) = 0[/tex]That means the roots are -46 and 44.

Answered by hazeldog | 2024-09-02