Question

I need my smart homies to answer this question for me !

Given the equation,


x² - 24x + 135 = 0


Part A: Choose a method . (don't say quadratic formula)


Part B: In complete sentences, explain step by step how to solve using the method you chose.


Part C: What is the solution set?

Answer 1

Part A: chosen method is by factoring

Part B: First rewrite the equation by writing -24 as a difference so you get x² -9x - 15x + 135 = 0. Then factor out the x and the -15 from the equation so you get x(x-9) - 15(x-9) = 0. Then factor out x-9 from the equation so you have (x-9)(x-15) = 0. Finally, set each expression to 0: x-9=0 and x-15=0 and then solve: x=9 and x=15

Part C: x=9, x=15