SOLUTION: hi i'm in college and i'm so confuse in algebra class.
*Solve the quadratic equation by factoring and applying the zero product principle
1)x2 − x − 6 = 0
2)(x &
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Question 648510: hi i'm in college and i'm so confuse in algebra class.
*Solve the quadratic equation by factoring and applying the zero product principle
1)x2 − x − 6 = 0
2)(x − 8)2 − 9 = 0
can u please help me? explain to me how to solve the problems?
Answer by Algebraic(50) (Show Source): You can put this solution on YOUR website!
Original equations: and
The zero-product principle states that the factored version of the equation must be set equal to 0 and solved for...
Let's factor and solve the first equation:
Step 1: Factor
can be factored into
Step 2: Solve each parenthesis individually
and
You want to get 'x' by itself, so add '3' to both sides...
You want to get 'x' by itself, so subtract '2' to both sides...
So... the roots of the equation are and
________________________________
Let's solve the other equation:
Step 1: Let's rewrite the equation so that the '2' is placed in front of the parenthesis
Step 2: Distribute the '2' to everything in the parenthesis
Step 3: Combine like terms
Step 4: Add '25' to both sides in order to get the '2x' by itself
Step 5: Divide both sides by '2' in order to get 'x' by itself
The root of the equation is
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