The answer is D.) {-1, 15}
Here's how we figure this out:
Step 1.) Move all the terms to one side: [tex] x^{2} -14x-15=0[/tex]
Step 2.) Factor [tex] x^{2} -14x-15=0[/tex]: ( x -15 ) ( x +1 ) = 0
-In case you are wondering how we factored that, you simply ask which two numbers can add up to equal -14, and multiply to equal -15. Those two numbers are 1 and -15
-15 + 1 = -14
-15 · 1 = -15
Step 3.) Solve for x: Set each parenthesis equal to 0 and solve for x.
( x -15) = 0..........................Get rid of parenthesis
x - 15 = 0............................Add 15 to both sides
x = 15..................................Final answer
Also,
(x + 1) = 0...........................Get rid of parenthesis
x + 1 = 0.............................Subtract 1 from both sides
x = -1..................................Final answer
So, your two answers are { -1, 15 }
Future tip: When dealing with problems like these look at the exponent of the variable. Since we have [tex] x^{2} [/tex] there will be two answers for what x can equal. The same goes if x had an exponent of 3, there would then be 3 possible answers for what x equals ;)
I hope this helped!! :)) Have an amazing day :P
