Answer:
the equation for the roots -4 and -4 is[tex]x^2+8x+16=0[/tex]
Step-by-step explanation:
Given:
Roots of the equation= -4 and -4
To Find:
Equation for the roots -4 and -4.
Solution:
The Given roots are the repeated roots of a quadratic equation
X= -4, x =-4
So, as we know that the formula to find out the the quadratic equation which has roots as
[tex]x^2-\text{{sum of roots(x)}}+ \text{{product of roots}}=0[/tex]....................(1)
Now, according to question we have
Sum of roots = -4-4= -8
...................(2)
Product of roots = -4×-4 = 16
................(3)
Substituting (2) and (3) in (1)
[tex]x^2+8x+16=0[/tex]
