Question

Use the zero product property to find the solutions to the equation x^2-15x-100=0

Answer 1

Answer:

$x = 20$ or $x = -5$

Step-by-step explanation:

To solve the quadratic equation we must factor the expression

Look for 2 numbers that when you multiply them, obtain the result -100 and when you add them, obtain the result -15.

You can verify that these numbers are -20 and 5

$-20 +5 = -15\\\\-20 * 5 = -100$

Then the polynomial factors are

$(x-20) (x + 5) = 0$

 The zero product property says that if two terms $a * b = 0$ then

$a = 0$ or $b = 0$

So

$(x-20) = 0$ or $(x + 5) = 0$

$x = 20$ or $x = -5$

Answer 2

Answer:

x = -5 or x = 20

Step-by-step explanation:

There fore the answer is C