### Math Notes

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#### Algebra Solutions

##### Topics || Problems

Find two consecutive odd integers whose product is 1023.

Let x be the first odd integer and x + 2 be the second intger.

$$x(x+2) = 1023$$

$$x^2 +2x = 1023$$

$$x^2 +2x -1023 =0$$

$$(x+33)(x-31) =0$$

$$x_1 =-33$$

$$x_2 =31$$

The first integer is 31 and the second integer is 33.