Problema Solution
Write the quadratic equation whose roots are
2
and
4
, and whose leading coefficient is
4
.
(Use the letter
x
to represent the variable.)
Answer provided by our tutors
The quadratic equation for roots x1 and x2 and leading coefficient a can be written as:
a(x-x1)(x-x2) = 0
In our case x1 = 2, x2 = 4, and a = 4
4(x-2)(x-4) = 0
........
click here to see the simplification
........
4x^2 - 24x + 32 = 0
The quadratic equation is 4x^2 - 24x + 32 = 0.