Question

Find the equation for the roots -4 and -4.

Answer 1

Answer: -4-4 = -8 I hoped This helped you.

Answer 2

the equation for the roots -4 and -4 is
`x^2+8x+16=0`

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

`x^2-\text{{sum of roots(x)}}+ \text{{product of roots}}=0`....................(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)

`x^2+8x+16=0`