Quadratic Equations: example 7.72

Solve: ${(y - 8)}^{2} = 0$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: ${(x + 1)}^{2} = 0$ .

How did it go?

	${(y - 8)}^{2} = 0$
Rewrite the left side as a product.	$(y - 8) (y - 8) = 0$
Use the Zero Product Property and set each factor to 0.	$y - 8 = 0$	$y - 8 = 0$
Solve the equations.	$y = 8$	$y = 8$
When a solution repeats, we call it a double root.
Check your answer.

	${(y - 8)}^{2} = 0$
Rewrite the left side as a product.	$(y - 8) (y - 8) = 0$
Use the Zero Product Property and set each factor to 0.	$y - 8 = 0$	$y - 8 = 0$
Solve the equations.	$y = 8$	$y = 8$
When a solution repeats, we call it a double root.
Check your answer.