Question

X square + 12 x + 2880

Answer 1

Simplifying x2 + -12x + -2880 = 0 Reorder the terms: -2880 + -12x + x2 = 0 Solving -2880 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-48 + -1x)(60 + -1x) = 0

Subproblem 1

Set the factor '(-48 + -1x)' equal to zero and attempt to solve: Simplifying -48 + -1x = 0 Solving -48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -1x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = 0 + 48 -1x = 0 + 48 Combine like terms: 0 + 48 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48

Subproblem 2

Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60

Solution

x = {-48, 60}

Answer 2

x^2 +12x + 2880
D= b^2 -4ac = 144- 4×2880 =144- 11520 =-11376
if value of D is in minus then it has no real root.