What is the solution to the following equation? x^2-3x-10=0
2 answers:
Answer:
A= x=5 or x=-2
Step-by-step explanation:
x^2-3x-10=0
Factor
What 2 numbers multiply together to give you -10 and add together to give you -3
-5*2 = -10
-5+2 = -3
(x-5) (x+2) =0
Using the zero product property
x-5 =0 x+2 =0
x-5+5=0+5 x+2-2=0-2
x=5 x=-2
x^2 - 3x -10 = 0
Find two numbers when added together = -3 and when multiplied = -10
-5 + 2 = -3
-5 * 2 = -10
Now write the factored form of the equation:(x-5) (x+2) = 0
Solve for each x so that the equation = 0:
5 -5 = 0
-2 + 2 = 0
So X = -2 or 5
The answer is A.
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