To find a quadratic equation with solutions 88 and 9, you can use the fact that if a quadratic equation has roots x1 and x2, then the equation can be expressed as (x - x1)(x - x2) = 0.
1. Given roots are 88 and 9.
2. Substitute these roots into the equation: (x - 88)(x - 9) = 0.
3. Expand this equation to get it into standard form (ax^2 + bx + c):
x^2 - 9x - 88x + 792 = 0.
x^2 - 97x + 792 = 0.
Therefore, the quadratic equation with roots 88 and 9 in simplest standard form is x^2 - 97x + 792 = 0.
