please help me understand how to solve this and these types of problems. 15 times the square of a non-zero number is equal to 15 times the number what is the number
First, you have to know how to translate what you're being told to math language (algebra) and that will be, "15 times the square of a non-zero number" means 15x^2 for x not being 0. "is equal to 15 times the number" means it's an equation and the right side have 15 times x, so \[15*x^2=15*x\], x different from zero, so divide 15 and you'll have?
3 cuz i divided 15 by 5
why would you divide 15 by 5?
cuz 3 and 5 are the only ones 15 can go in to evenly
but look at your equation, you have 15x^2=15x then to eliminate constant, you must divide by...
2
okay, no you've \[15x^2=15x\] then divide by 15 \[(15/15) x^2=(15/15) x\] then, like (15/15)=1 \[x^2=x\] and the only number that is equal to his square is...
1
correct, did you understand the proccess?
yes
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