Question

Write the quadratic equation whose roots are 4 and 6, and whose leading coefficient is 2

Answer 1

Theres a formula with quadatic equations which goes: “a(x-x1)(x-x2)” where x is.. well, “x”, x1 and x2 are the roots and a is the leading coefficient.

So our formula would be 2(x-4)(x-6), and if we multiply all that we get:

2x^2-12x-8x+48=
= 2x^2-20x+48 is our eqtn (if I didn’t get anything wrong, of course)