Write an absoulute value equation that has the solutions x = - 6 and x = 10

The quadratic equation is X^2 - 4X-60=0

Step-by-step explanation:

You solve by using the relation

X^2 - (Sum) X + Product

which is (-6+10) X + (-6*10)

=X^2 - 4X - 60

X^2 + 6x - 10x - 60 = 0

(X^2+6x) - (10x-60)

=X (X+6) - 10 (x+6)

= (X-10) (X+6) = 0

x-10=0. and x+6=0

x=10. x=-6

Therefore the quadratic equation is given by x^2 - 4x - 60