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Maths Exercices

Solve a quadratic equation using the zero product property


The Zero Product Property states that for all real numbers a and b:


If ab = 0, then a = 0 or b = 0


Solve for n.

(n – 5)(n – 1) = 0

According to the Zero Product Property, if (n – 5)(n – 1) = 0, then (n – 5) must be 0 or (n – 1) must be 0.

Write two equations and solve for n.

n-5=0 or   n-1=0
         
n=5       n=1

The solution is n = 5 or n = 1.

Solve for b.

(b-7)(b+6) = 0
b = or b =