SOLUTION: Please help me solve this equation: melinda's dad is 30 years older than melinda is now. eight years ago, his age was equal to the square of melinda's age then. how old is melinda

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Question 130618This question is from textbook
: Please help me solve this equation: melinda's dad is 30 years older than melinda is now. eight years ago, his age was equal to the square of melinda's age then. how old is melinda now? This question is from textbook

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=Melinda's age now; x-8=Melinda's age 8 years ago
Then x+30=Melinda's dad's age now; x+30-8=x+22=dad's age 8 years ago
Now we are told that:
x+22=(x-8)^2 get rid of parens
x+22=x^2-16x+64 subtract x and also 22 from each side
x-x+22-22=x^2-16x-x+64-22 collect like terms
x^2-17x+42=0--------------------quadratic in standard form and it can be factored
(x-3)(x-14)=0
x=3 years old (NO GOOD!!! 8 YEARS AGO SHE WOULD BE -5????)
and x=14 years old-----------------Melinda's age now
x+30=14+30=44 years old her dad's age now
CK
8 years ago dad's age was equal to the square of Melinda's--
44-8=(14-8)^2
36=6^2
36=36

Hope this helps---ptaylor