What is 3x to the 2nd power minus 24 x minus 60?

Answer 1

3x² - 24x - 60 = 0; whence,

x² - 8x - 20 = (x - 10)(x + 2) = 0; and

x = 10 or -2.

Checking, we find that

3(10)² - 24(10) - 60 = 300 - 240 - 60 = 0, and

3(-2)² - 24(-2) - 60 = 12 + 48 - 60 = 0,

thus re-assuring us that we have solved correctly.