Problema Solution
Write the quadratic equation whose roots are
−1
and
−4
, and whose leading coefficient is
5
.
(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)
In our case x1 = -1, x2 = -4, and a = 5
5(x-(-1))(x-(-4)) = 5(x+1)(x+4) = 5(x^2 + 5x + 4) = 5x^2 + 25x + 20
The quadratic equation is 5x^2 + 25x + 20=0.