Number Game
Algebra
Level
1
The product of five less than three times a certain number and one less than four times the number is 7. Find the number
-1/12 , 2
1/12 , 2
1/12 , -2
-1/12 , -2
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1 solution
Let : x the required NUMBER Given Condition: (3x-5)(4x-1)=7,, 12x^2-3x-20x+5=7,, 12x^2-23x+5-7=0,, 12x^2-23x-2=0,,, Making pairs for factorization :::: 12x^2-24x+x-2=0,, 12x(x-2)+1(x-2)=0,,, (12x+1)(x-2)=0,,, x=-1/2 , x=2,