SOLUTION: I need some help with these two questions please? 1. Solve by factoring and using the principle of zero products. 2x2 = 3x 2. The hypotenuse of a right triangle is 8 feet

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need some help with these two questions please? 1. Solve by factoring and using the principle of zero products. 2x2 = 3x 2. The hypotenuse of a right triangle is 8 feet      Log On


   

Question 207406: I need some help with these two questions please?
1. Solve by factoring and using the principle of zero products.
2x2 = 3x
2. The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three sides of the triangle.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.


# 1


2x%5E2=3x Start with the given equation.


2x%5E2-3x=0 Subtract 3x from both sides.


x%282x-3%29=0 Factor out the GCF 'x'


x=0 or 2x-3=0 Set each factor equal to 0 (using the zero product property)


x=0 or 2x=3 For the second equation, add 3 to both sides.


x=0 or x=3%2F2 For the second equation, divide both sides by 2 to isolate 'x'.


So the solutions are x=0 or x=3%2F2 (note: 1.5 the decimal form of 3%2F2)