Answer:
[tex]x = 20[/tex] or [tex]x = -5[/tex]
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
[tex]-20 +5 = -15\\\\-20 * 5 = -100[/tex]
Then the polynomial factors are
[tex](x-20) (x + 5) = 0[/tex]
The zero product property says that if two terms [tex]a * b = 0[/tex] then
[tex]a = 0[/tex] or [tex]b = 0[/tex]
So
[tex](x-20) = 0[/tex] or [tex](x + 5) = 0[/tex]
[tex]x = 20[/tex] or [tex]x = -5[/tex]
Answer:
x = -5 or x = 20
Step-by-step explanation:
There fore the answer is C
