Answer:
The real roots are
and
The sum of the squares of these roots is
Step-by-step explanation:
The given quadratic equation is has two real roots.
To find the roots .
Dividing the above equation by 2
For quadratic equation the solution is
Where a and b are coefficents of and x respectively, c is a constant.
For given quadratic equation
a=4, b=6, c=-7
The real roots are
and
Now to find the sum of the squares of these roots
Therefore the sum of the squares of these roots is