Problema Solution
A quadratic equation ax squared plus bx plus c equals 0
has minus
3
and 1
as solutions. Find the values of b and c if the value of a is 1
Answer provided by our tutors
ax^2 + bc + c = 0
a = 1
This means the equation is:
x^2 + bx + c = 0
The roots of the above quadratic equation are x1 = 3 and x2 = 1.
Plug x = 3 into x^2 + bx + c = 0 and you'll get:
3^2 + 3b + c = 0
3b + c = -9
Plug x = 1 into x^2 + bx + c = 0 and you'll get:
1^2 + 1b + c = 0
b + c = -1
We need to solve the following system of equations:
3b + c = -9
b + c = -1
........
click here to see the system of equations solved for b and c
........
b = -4
c = 3
The value for b is -4.
The value for c is 3.